{"id":131,"date":"2023-07-16T17:57:55","date_gmt":"2023-07-16T17:57:55","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/"},"modified":"2023-07-16T17:57:55","modified_gmt":"2023-07-16T17:57:55","slug":"%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/","title":{"rendered":"\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f"},"content":{"rendered":"

\u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629<\/strong> \u0647\u064a \u0645\u0633\u0627\u0648\u0627\u0629 \u0628\u064a\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629. \u0648\u0628\u0641\u0636\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0646\u0633\u0628\u0629 \u0645\u062b\u0644\u062b\u064a\u0629<\/a> \u0645\u0639\u064a\u0646\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0623\u064a \u0646\u0633\u0628\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u0623\u062e\u0631\u0649. \u0648\u0644\u0630\u0644\u0643 \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0645\u0639\u0631\u0641\u0629 \u0635\u064a\u063a \u0647\u0630\u0647 \u0627\u0644\u0646\u0633\u0628 \u0644\u0641\u0647\u0645 \u0635\u064a\u063a \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629. \u0625\u0630\u0627 \u0643\u0646\u062a \u0644\u0627 \u062a\u0639\u0631\u0641\u0647\u0645 \u0641\u064a \u062d\u0627\u0644\u062a\u0643\u060c \u0641\u0646\u0646\u0635\u062d\u0643 \u0628\u0632\u064a\u0627\u0631\u0629 \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u0623\u062e\u064a\u0631.<\/p>\n

\u062c\u062f\u0648\u0644 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629<\/span> <\/h2>\n
\n
\"\u0634\u0643\u0644
\u0634\u0643\u0644 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629<\/figcaption><\/figure>\n<\/div>\n

\u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/span><\/h2>\n

\u0647\u0646\u0627\u0643 \u0633\u0644\u0633\u0644\u0629 \u0645\u0646 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0639\u062a\u0628\u0631 \u0627\u0644\u0623\u0643\u062b\u0631 \u0623\u0647\u0645\u064a\u0629 \u0644\u0623\u0646\u0647\u0627 \u062a\u0648\u0641\u0631 \u0627\u0644\u0623\u0633\u0627\u0633 \u0627\u0644\u0646\u0638\u0631\u064a<\/strong> \u0644\u0644\u0622\u062e\u0631\u064a\u0646. \u0647\u0630\u0647 \u0647\u064a \u0627\u0644\u0623\u0643\u062b\u0631 \u0634\u064a\u0648\u0639\u064b\u0627 \u0648\u0627\u0644\u062a\u064a \u0645\u0646 \u0627\u0644\u0645\u062d\u062a\u0645\u0644 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0623\u0633\u0647\u0644 \u0641\u064a \u0627\u0644\u062a\u0630\u0643\u0631\u060c \u0644\u0623\u0646\u0647\u0627 \u0628\u062f\u064a\u0647\u064a\u0629 \u062a\u0645\u0627\u0645\u064b\u0627. \u062a\u0630\u0643\u0631 \u0623\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0635\u064a\u063a \u0633\u0648\u0641 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0635\u0648\u0631\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n

\n
\"\u0645\u0633\u062a\u0637\u064a\u0644<\/figure>\n<\/div>\n

\u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/h3>\n

\u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0644\u0644\u062c\u0645\u064a\u0639 \u0647\u064a \u0645\u0627 \u064a\u0639\u0631\u0641 \u0628\u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/strong> \u060c \u0648\u0627\u0644\u0645\u0639\u0631\u0648\u0641\u0629 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u062c\u064a\u0628 \u0648\u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645. \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0628\u0631\u0647\u0627\u0646\u0647\u0627 \u0627\u0644\u0631\u064a\u0627\u0636\u064a: sin\u00b2 (\u03b1) + cos\u00b2 (\u03b1) = 1. <\/p>\n

\n
\"\u0625\u062b\u0628\u0627\u062a<\/figure>\n<\/div>\n

\u0641\u064a \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u0623\u062e\u064a\u0631\u0629\u060c \u0646\u0637\u0628\u0642 \u0628\u0634\u0643\u0644 \u0623\u0633\u0627\u0633\u064a \u0646\u0638\u0631\u064a\u0629 \u0641\u064a\u062b\u0627\u063a\u0648\u0631\u0633\u060c \u0644\u0623\u0646 c\u00b2 = a\u00b2 + b\u00b2\u060c \u064a\u062a\u0628\u0642\u0649 \u0644\u062f\u064a\u0646\u0627 c\u00b2 \/ c\u00b2 \u0648\u0647\u0648 \u0645\u0627 \u064a\u0633\u0627\u0648\u064a 1. \u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0630\u0643\u0631 \u0623\u0646: sin\u00b2 (\u03b1) + cos\u00b2 (\u03b1) = 1.<\/p>\n

\u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0642\u0627\u0637\u0639 \u0648\u0627\u0644\u0638\u0644 (\u0627\u0644\u0642\u0627\u0637\u0639 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a)<\/h3>\n

\u062b\u0627\u0646\u064a\u064b\u0627\u060c \u0644\u062f\u064a\u0646\u0627 \u0647\u0648\u064a\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u062a\u0631\u0628\u0637 \u0627\u0644\u0642\u0627\u0637\u0639 \u0628\u0627\u0644\u0638\u0644\u060c \u0648\u064a\u0643\u0648\u0646 \u062a\u0639\u0628\u064a\u0631\u0647\u0627 \u0643\u0645\u0627 \u064a\u0644\u064a: sec\u00b2 (\u03b1) = 1 + tan\u00b2 (\u03b1)<\/strong> . \u0641\u064a \u0627\u0644\u0635\u0648\u0631\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u0628\u0639\u0636 \u0635\u064a\u063a \u0627\u0644\u062a\u0630\u0643\u064a\u0631 \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644 \u0647\u0630\u0647 \u0627\u0644\u0647\u0648\u064a\u0629 \u0648\u0645\u0646 \u062b\u0645 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0630\u064a \u064a\u062c\u0628 \u0627\u062a\u0628\u0627\u0639\u0647 \u0644\u0644\u0648\u0635\u0648\u0644 \u0625\u0644\u0649 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629: <\/p>\n

\n
\"\u0625\u062b\u0628\u0627\u062a<\/figure>\n<\/div>\n

\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0646\u0633\u062a\u062e\u062f\u0645 \u0635\u064a\u063a \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0646\u0633\u0628 \u0623\u062e\u0631\u0649. \u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0642\u0648\u0644 \u0623\u0646: sec\u00b2(\u03b1) = 1 + tan\u00b2(\u03b1).<\/p>\n

\u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0642\u0627\u0637\u0639 \u0627\u0644\u062a\u0645\u0627\u0645 \u0648\u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 (\u0645\u0631\u0628\u0639 \u0642\u0627\u0637\u0639 \u0627\u0644\u062a\u0645\u0627\u0645)<\/h3>\n

\u0645\u0646 \u062a\u0639\u0631\u064a\u0641 \u0642\u0627\u0637\u0639 \u0627\u0644\u062a\u0645\u0627\u0645 \u0648\u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0631\u0627\u0628\u0637 \u0641\u064a \u0635\u064a\u063a\u0629 \u0627\u0644\u0638\u0644\u060c \u0648\u0628\u0641\u0636\u0644 \u0647\u0630\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0647\u0648\u064a\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u0623\u062e\u0631\u0649: cosec\u00b2 (\u03b1) = 1 + cotg\u00b2 (\u03b1)<\/strong> . <\/p>\n

\n
\"\u0625\u062b\u0628\u0627\u062a<\/figure>\n<\/div>\n

\u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0627 \u0627\u0644\u0639\u0631\u0636 \u0627\u0644\u062a\u0648\u0636\u064a\u062d\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646: cosec\u00b2 (\u03b1) = 1 + cotg\u00b2 (\u03b1). \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0631\u0649 \u0623\u0646 \u0647\u0630\u0647 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u0647\u0627 \u0628\u0639\u0636 \u0627\u0644\u062a\u0634\u0627\u0628\u0647 \u0645\u0639 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629\u060c \u0648\u0630\u0644\u0643 \u0628\u0633\u0628\u0628 \u0627\u0644\u062a\u0634\u0627\u0628\u0647 \u0628\u064a\u0646 \u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0648\u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645.<\/p>\n

\u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0632\u0627\u0648\u064a\u0629 \u0645\u062c\u0645\u0648\u0639 \u0648\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0637\u0631\u062d<\/span><\/h2>\n

\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0623\u0648 \u0646\u0633\u0628 \u0637\u0631\u062d \u0627\u0644\u0632\u0627\u0648\u064a\u0629<\/strong> \u0647\u064a \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u064a\u0647\u0627 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u062c\u0645\u0639 \u0623\u0648 \u0637\u0631\u062d \u0632\u0627\u0648\u064a\u062a\u064a\u0646. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0625\u0630\u0627 \u0623\u0631\u062f\u0646\u0627 \u062d\u0633\u0627\u0628 \u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 90 + 60\u060c \u0641\u0647\u0646\u0627\u0643 \u0633\u0644\u0633\u0644\u0629 \u0645\u0646 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u062a\u064a \u062a\u062c\u0639\u0644 \u0647\u0630\u0627 \u0627\u0644\u062d\u0633\u0627\u0628 \u0623\u0633\u0647\u0644. \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0642\u0627\u0626\u0645\u0629 \u0628\u062c\u0645\u064a\u0639 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0647\u0630\u0627 \u0627\u0644\u0646\u0645\u0637:<\/p>\n

\u062c\u064a\u0628 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0632\u0648\u0627\u064a\u0627: sin (\u03b1 + \u03b2<\/em> ) = sin (\u03b1) cos ( \u03b2<\/em> ) + cos ( \u03b1<\/em> ) sin ( \u03b2<\/em> )<\/p>\n

\u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0644\u0644\u0637\u0631\u062d: sin (\u03b1 \u2013 \u03b2<\/em> ) = sin (\u03b1) cos ( \u03b2<\/em> ) \u2013 cos ( \u03b1<\/em> ) sin ( \u03b2<\/em> )<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0632\u0648\u0627\u064a\u0627: cos (\u03b1 + \u03b2<\/em> ) = cos (\u03b1) cos ( \u03b2<\/em> ) \u2013 sin ( \u03b1<\/em> ) sin ( \u03b2<\/em> )<\/p>\n

\u0637\u0631\u062d \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a: cos (\u03b1 \u2013 \u03b2<\/em> ) = cos (\u03b1) cos ( \u03b2<\/em> ) + sin ( \u03b1<\/em> ) sin ( \u03b2<\/em> )<\/p>\n

\u0638\u0644 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0632\u0648\u0627\u064a\u0627: tan (\u03b1 + \u03b2<\/em> ) = (tan (\u03b1) + tan ( \u03b2<\/em> )) \u00f7 (1 \u2013 tan (\u03b1) tan ( \u03b2<\/em> ))<\/p>\n

\u0637\u0631\u062d \u0627\u0644\u0645\u0645\u0627\u0633 \u0627\u0644\u0632\u0627\u0648\u064a: tan(\u03b1 \u2013 \u03b2<\/em> ) = (tan(\u03b1) + tan( \u03b2<\/em> )) \u00f7(1 + tan(\u03b1)tan( \u03b2<\/em> ))<\/p>\n

\u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u062d\u0633\u0627\u0628 \u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 150 \u062f\u0631\u062c\u0629 \u0623\u0633\u0647\u0644 \u0645\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u062a\u064a \u0634\u0631\u062d\u0646\u0627\u0647\u0627 \u0644\u0644\u062a\u0648 \u0644\u062d\u0633\u0627\u0628 \u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 (90 \u062f\u0631\u062c\u0629 + 60 \u062f\u0631\u062c\u0629). \u0641\u0644\u0645\u0627\u0630\u0627 \u062a\u0639\u062a\u0628\u0631 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a \u0645\u0647\u0645\u0629\u061f \u062d\u0633\u0646\u064b\u0627\u060c \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0647\u064a \u0623\u0646 \u0647\u0630\u0647 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u062a\u062a\u064a\u062d \u0644\u0646\u0627 \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u0645\u0639\u0642\u062f\u0629<\/strong> \u0645\u0646 \u0632\u0648\u0627\u064a\u0627 \u0623\u0628\u0633\u0637. \u0644\u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u062d\u0641\u0638\u0646\u0627 \u0646\u0633\u0628 \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u0628\u0627\u0631\u0632\u0629 (\u0627\u0644\u0623\u0643\u062b\u0631 \u0635\u0644\u0629)\u060c \u0641\u0644\u0646 \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0644\u062d\u0633\u0627\u0628 \u0646\u0633\u0628 \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627 \u0645\u062b\u0644 150 \u062f\u0631\u062c\u0629.<\/p>\n

\u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0632\u062f\u0648\u062c\u0629<\/span><\/h2>\n

\u0639\u0646\u062f\u0645\u0627 \u0646\u0631\u064a\u062f \u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0632\u0627\u0648\u064a\u0629 \u0645\u0632\u062f\u0648\u062c\u0629 (2\u03b1)<\/strong> \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0633\u0644\u0633\u0644\u0629 \u0645\u0646 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a. \u0648\u0628\u0634\u0643\u0644 \u0623\u0643\u062b\u0631 \u062f\u0642\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0635\u064a\u063a \u0645\u0634\u0627\u0628\u0647\u0629 \u062c\u062f\u064b\u0627 \u0644\u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u0646\u0627\u0642\u0634\u0646\u0627\u0647\u0627 \u0644\u0644\u062a\u0648 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \u0627\u0644\u0633\u0627\u0628\u0642. \u0644\u0623\u0646\u0647 \u0625\u0630\u0627 \u0642\u0645\u0646\u0627 \u0628\u062a\u063a\u064a\u064a\u0631 \u03b2<\/em> \u0625\u0644\u0649 \u03b1\u060c \u0641\u064a \u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0627\u0644\u0633\u0627\u0628\u0642\u0629\u060c \u064a\u062a\u0628\u0642\u0649 \u0644\u062f\u064a\u0646\u0627 (\u03b1 + \u03b1)\u060c \u0648\u0647\u0648 \u0645\u0627 \u064a\u0639\u0627\u062f\u0644 (2\u03b1). \u0648\u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0645\u0646\u0637\u0644\u0642 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0633\u062a\u0646\u062a\u062c \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: <\/p>\n

\n
\"\u0627\u0644\u0646\u0633\u0628<\/figure>\n<\/div>\n

\u064a\u0645\u0643\u0646\u0643 \u0645\u0634\u0627\u0647\u062f\u0629 \u0627\u0644\u0639\u0631\u0648\u0636 \u0627\u0644\u062a\u0648\u0636\u064a\u062d\u064a\u0629 \u0623\u062f\u0646\u0627\u0647:<\/p>\n

\u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0632\u062f\u0648\u062c\u0629: sin (2\u03b1) = sin (\u03b1) cos (\u03b1) + cos (\u03b1) sin (\u03b1) = 2 sin (\u03b1) cos (\u03b1)<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0632\u062f\u0648\u062c\u0629: cos (\u03b1 + \u03b1<\/em> ) = cos (\u03b1) cos ( \u03b1<\/em> ) \u2013 sin ( \u03b1<\/em> ) sin ( \u03b1<\/em> ) = cos\u00b2 (\u03b1) \u2013 sin\u00b2 (\u03b1)<\/p>\n

\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0638\u0644 \u0627\u0644\u0645\u0632\u062f\u0648\u062c\u0629: \u0638\u0627 (2\u03b1) = 2 \u0638\u0627 (\u03b1) \u00f7 (1 \u2013 \u0638\u0627\u00b2 (\u03b1))<\/p>\n

\u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0646\u0635\u0641 \u0627\u0644\u0632\u0627\u0648\u064a\u0629<\/span><\/h2>\n

\u0643\u0645\u0627 \u0623\u0646 \u0647\u0646\u0627\u0643 \u0647\u0648\u064a\u0627\u062a \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u062d\u0633\u0627\u0628 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0646\u0635\u0641 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 (\u03b1\/2)<\/strong> : <\/p>\n

\n
\"\u0627\u0644\u0646\u0633\u0628<\/figure>\n<\/div>\n

\u0645\u0646 \u0628\u064a\u0646 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u0645\u0639\u0631\u0648\u0641\u0629 \u0628\u0627\u0644\u0641\u0639\u0644 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n

1 = \u0627\u0644\u062e\u0637\u064a\u0626\u0629\u00b2( \u03b2<\/em> ) + cos\u00b2( \u03b2<\/em> )<\/p>\n

cos( 2\u03b2<\/em> ) = cos\u00b2( \u03b2<\/em> ) \u2013 \u0627\u0644\u062e\u0637\u064a\u0626\u0629\u00b2( \u03b2<\/em> )<\/p>\n

\u0625\u0630\u0627 \u062c\u0639\u0644\u0646\u0627 \u03b2<\/em> = \u03b1\/2\u060c \u0641\u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u062b\u0628\u0627\u062a \u0647\u0630\u0647 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a\u060c \u0639\u0646 \u0637\u0631\u064a\u0642 \u0637\u0631\u062d \u0627\u0644\u062a\u0639\u0628\u064a\u0631\u064a\u0646 \u0641\u064a \u062d\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0648\u0625\u0636\u0627\u0641\u062a\u0647\u0645\u0627 \u0641\u064a \u062d\u0627\u0644\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645\u060c \u0648\u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0635\u064a\u063a\u062a\u064a\u0646 \u0627\u0644\u0646\u0627\u062a\u062c\u062a\u064a\u0646 (\u0635\u064a\u063a\u0629 \u0627\u0644\u062c\u064a\u0628 \u0648\u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645) \u0641\u064a \u062d\u0627\u0644\u0629 \u0627\u0644\u0638\u0644. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u064a\u0628\u0642\u0649 \u0639\u0632\u0644 \u0627\u0644\u0646\u0633\u0628\u0629<\/strong> \u0627\u0644\u062a\u064a \u0646\u0631\u064a\u062f \u062d\u0633\u0627\u0628\u0647\u0627 \u0641\u064a \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u062a\u064a \u0646\u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0623\u062f\u0646\u0627\u0647:<\/p>\n

\u0646\u0635\u0641 \u0632\u0627\u0648\u064a\u0629 \u062c\u064a\u0628\u064a\u0629: 1 – cos (\u03b1) = 2 sin\u00b2 (\u03b1\/2)\u061b \u062e\u0637\u064a\u0626\u0629\u00b2 (\u03b1\/2) = (1 \u2013 \u062c\u062a\u0627 (\u03b1)) \u00f7 2<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0646\u0635\u0641 \u0627\u0644\u0632\u0627\u0648\u064a\u0629: 1 + cos (\u03b1) = 2 cos\u00b2 (\u03b1\/2)\u061b cos\u00b2 (\u03b1\/2) = (1 + cos (\u03b1)) \u00f7 2<\/p>\n

\u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u064a\u0629<\/span><\/h2>\n

\u0641\u064a \u062d\u0627\u0644\u0629 \u0648\u062c\u0648\u062f \u0632\u0627\u0648\u064a\u0629 \u062b\u0644\u0627\u062b\u064a\u0629 (3\u03b1)<\/strong> \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0647\u0648\u064a\u0627\u062a \u0645\u0639\u064a\u0646\u0629 \u0644\u062d\u0633\u0627\u0628 \u0646\u0633\u0628\u0647\u0627 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629. \u062a\u0623\u062a\u064a \u0647\u0630\u0647 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0645\u0646 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u0633\u0628\u0642 \u0634\u0631\u062d\u0647\u0627: \u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0632\u062f\u0648\u062c\u0629\u060c \u0648\u0647\u0648\u064a\u0627\u062a \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0632\u0648\u0627\u064a\u0627\u060c \u0648\u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0639\u0644\u0645 \u0627\u0644\u0645\u062b\u0644\u062b\u0627\u062a. <\/p>\n

\n
\"\u0627\u0644\u0646\u0633\u0628<\/figure>\n<\/div>\n

\u0644\u0625\u062b\u0628\u0627\u062a \u0647\u0630\u0647 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0632\u0648\u0627\u064a\u0627:<\/p>\n

\u062c\u064a\u0628 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0632\u0648\u0627\u064a\u0627: sin (3\u03b1) = sin (\u03b1 + 2\u03b1) = sin (\u03b1) cos (2\u03b1) + sin (2\u03b1) cos (\u03b1)<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0632\u0648\u0627\u064a\u0627: cos (3\u03b1) = cos (\u03b1 + 2\u03b1) = cos (\u03b1) cos (2\u03b1) \u2013 sin (\u03b1) sin (2\u03b1)<\/p>\n

\u0644\u0630\u0627\u060c \u0625\u0630\u0627 \u0637\u0628\u0642\u0646\u0627 \u0635\u064a\u063a \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0632\u062f\u0648\u062c\u0629 \u0641\u064a \u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u062d\u062f\u062b\u0646\u0627 \u0639\u0646\u0647\u0627 \u0644\u0644\u062a\u0648 \u0648\u0637\u0628\u0642\u0646\u0627 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0639\u0644\u0645 \u0627\u0644\u0645\u062b\u0644\u062b\u0627\u062a\u060c \u0641\u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u062b\u0628\u0627\u062a \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a. \u0648\u0645\u0646 \u0627\u0644\u062c\u062f\u064a\u0631 \u0628\u0627\u0644\u0630\u0643\u0631 \u0623\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0629 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u064a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u062a\u062d\u0648\u064a\u0644 \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0633\u0628 \u0641\u064a \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0625\u0644\u0649 \u0646\u0633\u0628\u0629 \u0648\u0627\u062d\u062f\u0629. \u0647\u0630\u0627 \u0647\u0648 \u0627\u0644\u0633\u0628\u0628 \u0641\u064a \u0623\u0646 \u0635\u064a\u063a\u0629 \u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u064a\u0629 \u062a\u062a\u0643\u0648\u0646 \u0641\u0642\u0637 \u0645\u0646 \u0627\u0644\u062c\u064a\u0628 \u0648\u0623\u0646 \u0635\u064a\u063a\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0641\u0642\u0637. \u0623\u062f\u0646\u0627\u0647 \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0643\u0627\u0645\u0644:<\/p>\n

\u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u064a\u0629: sin (3\u03b1) = sin (\u03b1 + 2\u03b1) = sin (\u03b1) cos (2\u03b1) + sin (2\u03b1) cos (\u03b1) =<\/p>\n

= \u0627\u0644\u062e\u0637\u064a\u0626\u0629 (\u03b1) (cos\u00b2 (\u03b1) \u2013 \u0627\u0644\u062e\u0637\u064a\u0626\u0629\u00b2 (\u03b1)) + 2 \u0627\u0644\u062e\u0637\u064a\u0626\u0629 (\u03b1) cos (\u03b1) cos (\u03b1) =<\/p>\n

= \u0627\u0644\u062e\u0637\u064a\u0626\u0629 (\u03b1) cos\u00b2 (\u03b1) \u2013 \u0627\u0644\u062e\u0637\u064a\u0626\u0629\u00b3 (\u03b1) + 2 \u0627\u0644\u062e\u0637\u064a\u0626\u0629 (\u03b1) cos\u00b2 (\u03b1) =<\/p>\n

= \u0627\u0644\u062e\u0637\u064a\u0626\u0629 (\u03b1) \u00b7 (1 \u2013 \u0627\u0644\u062e\u0637\u064a\u0626\u0629\u00b2 (\u03b1)) \u2013 \u0627\u0644\u062e\u0637\u064a\u0626\u0629\u00b3 (\u03b1) + 2 \u0627\u0644\u062e\u0637\u064a\u0626\u0629 (\u03b1) \u00b7 (1 \u2013 \u0627\u0644\u062e\u0637\u064a\u0626\u0629\u00b2 (\u03b1)) =<\/p>\n

= \u0627\u0644\u062e\u0637\u064a\u0626\u0629 (\u03b1) \u2013 \u0627\u0644\u062e\u0637\u064a\u0626\u0629\u00b3 (\u03b1) \u2013 \u0627\u0644\u062e\u0637\u064a\u0626\u0629\u00b3 (\u03b1) + 2 \u0627\u0644\u062e\u0637\u064a\u0626\u0629 (\u03b1) \u2013 2 \u0627\u0644\u062e\u0637\u064a\u0626\u0629\u00b3 (\u03b1) =<\/p>\n

= 3 \u062e\u0637\u064a\u0626\u0629 (\u03b1) \u2013 4 \u062e\u0637\u064a\u0626\u0629\u00b3 (\u03b1)<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u064a\u0629: cos (3\u03b1) = cos (\u03b1 + 2\u03b1) = cos (\u03b1) cos (2\u03b1) \u2013 sin (\u03b1) sin (2\u03b1) =<\/p>\n

= cos (\u03b1) (cos\u00b2 (\u03b1) \u2013 sin\u00b2 (\u03b1)) \u2013 sin (\u03b1) 2 sin (\u03b1) cos (\u03b1) =<\/p>\n

= cos\u00b3 (\u03b1) \u2013 cos (\u03b1) sin\u00b2 (\u03b1) \u2013 2 cos (\u03b1) sin\u00b2 (\u03b1) =<\/p>\n

= cos\u00b3 (\u03b1) \u2013 3 cos (\u03b1) sin\u00b2 (\u03b1) =<\/p>\n

= cos\u00b3 (\u03b1) \u2013 3 cos (\u03b1) \u00b7 (1 \u2013 cos\u00b2 (\u03b1)) =<\/p>\n

= cos\u00b3 (\u03b1) \u2013 3 cos (\u03b1) + 3 cos\u00b3 (\u03b1) =<\/p>\n

= 4 \u0643\u0648\u0633\u00b3 (\u03b1) \u2013 3 \u0643\u0648\u0633 (\u03b1)<\/p>\n

\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u064a\u0629<\/strong> \u0628\u0637\u0631\u064a\u0642\u062a\u064a\u0646: \u0627\u0644\u0623\u0648\u0644\u0649 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0642\u0633\u0645\u0629 \u0635\u064a\u063a\u0629 \u0627\u0644\u062c\u064a\u0628 \u0639\u0644\u0649 \u0635\u064a\u063a\u0629 \u062c\u064a\u0628 \u0627\u0644\u062a\u0645\u0627\u0645 \u0648\u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u062a\u0639\u0628\u064a\u0631 \u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0632\u062f\u0648\u062c\u0629 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0625\u0644\u0649 \u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0632\u0627\u0648\u064a\u0629: \u062a\u0627\u0646 (\u03b1 + 2\u03b1) = (\u062a\u0627\u0646 (\u03b1) + \u062a\u0627\u0646 (2\u03b1)) \u00f7 (1 \u2013 \u062a\u0627\u0646 (\u03b1) \u062a\u0627\u0646 (2\u03b1)).<\/p>\n

\u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u062d\u0633\u0628 \u0646\u0648\u0639 \u0627\u0644\u0632\u0627\u0648\u064a\u0629<\/span><\/h2>\n

\u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0627\u0644\u062a\u0639\u0644\u064a\u0642 \u0639\u0644\u0649 \u0633\u0644\u0633\u0644\u0629 \u0645\u0646 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u062a\u064a \u0647\u064a \u0628\u0637\u0631\u064a\u0642\u0629 \u0645\u0627 \u0642\u0648\u0627\u0639\u062f \u062a\u0633\u0645\u062d \u0628\u0627\u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0628\u0627\u0634\u0631 \u0648\u0627\u0644\u0633\u0631\u064a\u0639<\/strong> \u0644\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629. \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u064a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0627\u0639\u062a\u0628\u0627\u0631\u0647\u0627 \u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0645\u062b\u0644\u062b\u064a\u0629\u060c \u0644\u0623\u0646\u0647\u0627 \u062a\u0644\u0628\u064a \u0646\u0641\u0633 \u062e\u0635\u0627\u0626\u0635 \u062c\u0645\u064a\u0639 \u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u062d\u062f\u062b\u0646\u0627 \u0639\u0646\u0647\u0627 \u0644\u0644\u062a\u0648. \u0648\u0628\u0634\u0643\u0644 \u0623\u0643\u062b\u0631 \u062f\u0642\u0629\u060c \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a \u0628\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0639\u0644\u0627\u0642\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0645\u0646 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u0628\u0637\u0647\u0627 \u0628\u0632\u0627\u0648\u064a\u0629 \u0623\u062e\u0631\u0649.<\/p>\n

\u0632\u0648\u0627\u064a\u0627 \u0645\u062a\u0643\u0627\u0645\u0644\u0629<\/h3>\n

\u0627\u0644\u0632\u0627\u0648\u064a\u062a\u0627\u0646 \u0627\u0644\u0645\u062a\u062a\u0627\u0645\u062a\u0627\u0646<\/strong> (\u03b1 \u0648 \u03b2<\/em> ) \u0647\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u0645\u062c\u0645\u0648\u0639 \u0642\u064a\u0627\u0633\u0627\u062a\u0647\u0627 \u064a\u0633\u0627\u0648\u064a 90 \u062f\u0631\u062c\u0629\u060c \u0644\u0630\u0644\u0643 \u0639\u0646\u062f\u0645\u0627 \u0646\u0636\u064a\u0641\u0647\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0632\u0627\u0648\u064a\u0629 \u0642\u0627\u0626\u0645\u0629. \u0644\u062a\u062d\u062f\u064a\u062f \u0623\u0646 \u03b1 \u0647\u064a \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0643\u0645\u0644\u0629 \u0644\u0640 \u03b2<\/em> \u060c \u064a\u062c\u0628 \u0623\u0646 \u0646\u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0629 \u0628\u0633\u064a\u0637\u0629 \u0644\u0644\u063a\u0627\u064a\u0629: \u03b1 = 90 \u2013 \u03b2<\/em> \u060c \u0641\u0625\u0630\u0627 \u0627\u062a\u0641\u0642\u062a \u0646\u062a\u064a\u062c\u0629 \u0647\u0630\u0627 \u0627\u0644\u062a\u0643\u0627\u0641\u0624\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0624\u0643\u062f \u0623\u0646\u0647\u0645\u0627 \u0645\u062a\u0643\u0627\u0645\u0644\u062a\u0627\u0646. \u0648\u0628\u0641\u0636\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0632\u0627\u0648\u064a\u0629 \u0648\u0627\u062d\u062f\u0629 \u0645\u0646 \u062a\u0644\u0643 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0627\u0644\u0623\u062e\u0631\u0649.<\/p>\n

\u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629: sin (90\u00b0 \u2013 \u03b1) = cos (\u03b1)<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629: cos (90\u00b0 \u2013 \u03b1) = sin (\u03b1)<\/p>\n

\u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629: \u0638\u0627 (90\u00b0 \u2013 \u03b1) = \u0643\u0648\u062a\u0627\u0646 (\u03b1)<\/p>\n

\u0642\u0627\u0637\u0639 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629: cosec (90\u00b0 \u2013 \u03b1) = sec (\u03b1)<\/p>\n

\u0642\u0627\u0637\u0639 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629: \u062b\u0627\u0646\u064a\u0629 (90 \u062f\u0631\u062c\u0629 – \u03b1) = cosec (\u03b1)<\/p>\n

\u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629: \u0643\u0648\u062a\u0627\u0646 (90 \u062f\u0631\u062c\u0629 \u2013 \u03b1) = \u062a\u0627\u0646 (\u03b1)<\/p>\n

\u0632\u0648\u0627\u064a\u0627 \u0625\u0636\u0627\u0641\u064a\u0629<\/h3>\n

\u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629<\/strong> (\u03b1 \u0648 \u03b2<\/em> ) \u0647\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u064a\u0628\u0644\u063a \u0645\u062c\u0645\u0648\u0639\u0647\u0627 180 \u062f\u0631\u062c\u0629 \u0623\u0648 \u03c0 \u0631\u0627\u062f\u064a\u0627\u0646\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0635\u064a\u063a\u0629 \u03b1 + \u03b2<\/em> = 180 \u062f\u0631\u062c\u0629. \u0623\u0648 \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629 \u0644\u0640 \u03b1 \u0647\u064a \u03b2<\/em> \u060c \u0641\u064a\u062c\u0628 \u062a\u062d\u0642\u064a\u0642 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062a\u0627\u0644\u064a \u03b2<\/em> = 180 \u2013 \u03b1<\/em> . \u062b\u0645 \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c\u0647\u0627 \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0632\u0648\u0627\u064a\u0627:<\/p>\n

\u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629: sin (180\u00b0 \u2013 \u03b1) = sin (\u03b1)<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0625\u0636\u0627\u0641\u064a\u0629: cos (180\u00b0 \u2013 \u03b1) = -cos (\u03b1)<\/p>\n

\u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629: tan (180\u00b0 \u2013 \u03b1) = -tan (\u03b1)<\/p>\n

\u0642\u0627\u0637\u0639 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0625\u0636\u0627\u0641\u064a\u0629: cosec (180\u00b0 – \u03b1) = cosec (\u03b1)<\/p>\n

\u0642\u0627\u0637\u0639 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629: \u062b\u0627\u0646\u064a\u0629 (180 \u062f\u0631\u062c\u0629 – \u03b1) = – \u062b\u0627\u0646\u064a\u0629 (\u03b1)<\/p>\n

\u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u0643\u0645\u064a\u0644\u064a\u0629: \u0643\u0648\u062a\u0627\u0646 (180 \u062f\u0631\u062c\u0629 – \u03b1) = -\u0643\u0648\u062a\u0627\u0646 (\u03b1)<\/p>\n

\u0632\u0648\u0627\u064a\u0627 \u0645\u062a\u0631\u0627\u0641\u0642\u0629<\/h3>\n

\u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u0645\u062a\u0631\u0627\u0641\u0642\u0629<\/strong> (\u03b1 \u0648 \u03b2<\/em> ) \u0647\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u064a\u0628\u0644\u063a \u0645\u062c\u0645\u0648\u0639\u0647\u0627 360 \u062f\u0631\u062c\u0629 \u0623\u0648 2\u03c0 \u0631\u0627\u062f\u064a\u0627\u0646\u060c \u0648\u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0635\u064a\u063a\u0629 \u03b1 + \u03b2<\/em> = 360 \u062f\u0631\u062c\u0629. \u0648\u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0625\u062d\u062f\u0649 \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0628\u062f\u0644\u0627\u0644\u0629 \u0627\u0644\u0623\u062e\u0631\u0649 \u0643\u0645\u0627 \u064a\u0644\u064a: \u03b1 = 360\u00b0 \u2013 \u03b2<\/em> \u0623\u0648 \u03b2<\/em> = 360\u00b0 \u2013 \u03b1. \u0633\u0646\u0648\u0636\u062d \u0644\u0643 \u0627\u0644\u0622\u0646 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u0645\u062a\u0631\u0627\u0641\u0642\u0629:<\/p>\n

\u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0631\u0627\u0641\u0642\u0629: sin (360\u00b0 \u2013 \u03b1) = \u2013 sin (\u03b1)<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0631\u0627\u0641\u0642\u0629: cos (360\u00b0 \u2013 \u03b1) = cos (\u03b1)<\/p>\n

\u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0631\u0627\u0641\u0642\u0629: \u0638\u0627 (360\u00b0 \u2013 \u03b1) = \u2013 \u0638\u0627 (\u03b1)<\/p>\n

\u0642\u0627\u0637\u0639 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0631\u0627\u0641\u0642\u0629: cosec (360\u00b0 \u2013 \u03b1) = \u2013 cosec (\u03b1)<\/p>\n

\u0642\u0627\u0637\u0639 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0631\u0627\u0641\u0642\u0629: \u062b\u0627\u0646\u064a\u0629 (360 \u062f\u0631\u062c\u0629 \u2013 \u03b1) = \u062b\u0627\u0646\u064a\u0629 (\u03b1)<\/p>\n

\u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0631\u0627\u0641\u0642\u0629: \u0643\u0648\u062a\u0627\u0646 (360 \u062f\u0631\u062c\u0629 – \u03b1) = – \u0643\u0648\u062a\u0627\u0646 (\u03b1)<\/p>\n

\u0632\u0648\u0627\u064a\u0627 \u0645\u062a\u0636\u0627\u062f\u0629<\/h3>\n

\u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u0645\u062a\u0642\u0627\u0628\u0644\u0629<\/strong> \u0623\u0648 \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u0633\u0627\u0644\u0628\u0629<\/strong> (\u03b1 \u0648 \u03b2<\/em> ) \u0647\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u0644\u0647\u0627 \u0646\u0641\u0633 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629\u060c \u0648\u0644\u0643\u0646 \u0644\u0647\u0627 \u0625\u0634\u0627\u0631\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0647\u0648 30 \u062f\u0631\u062c\u0629 \u0648 -30 \u062f\u0631\u062c\u0629. \u064a\u062c\u0628 \u0623\u0646 \u0646\u062a\u0630\u0643\u0631 \u0623\u0646 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0633\u0627\u0644\u0628\u0629 \u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0623\u0646 \u0627\u0644\u062f\u0648\u0631\u0627\u0646 \u0641\u064a \u0627\u062a\u062c\u0627\u0647 \u0639\u0642\u0627\u0631\u0628 \u0627\u0644\u0633\u0627\u0639\u0629\u060c \u0628\u064a\u0646\u0645\u0627 \u062a\u062f\u0648\u0631 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0648\u062c\u0628\u0629 \u0639\u0643\u0633 \u0627\u062a\u062c\u0627\u0647 \u0639\u0642\u0627\u0631\u0628 \u0627\u0644\u0633\u0627\u0639\u0629.<\/p>\n

\u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629: \u0627\u0644\u062e\u0637\u064a\u0626\u0629 (-\u03b1) = \u2013 \u0627\u0644\u062e\u0637\u064a\u0626\u0629 (\u03b1)<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629: cos (-\u03b1) = cos (\u03b1)<\/p>\n

\u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629: \u0638\u0627 (-\u03b1) = \u2013 \u0638\u0627 (\u03b1)<\/p>\n

\u0642\u0627\u0637\u0639 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629: cosec (-\u03b1) = \u2013 cosec (\u03b1)<\/p>\n

\u0642\u0627\u0637\u0639 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629: \u062b\u0627\u0646\u064a\u0629 (-\u03b1) = \u062b\u0627\u0646\u064a\u0629 (\u03b1)<\/p>\n

\u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629: \u0643\u0648\u062a\u0627\u0646 (-\u03b1) = \u2013 \u0643\u0648\u062a\u0627\u0646 (\u03b1)<\/p>\n

\u0632\u0648\u0627\u064a\u0627 \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 90 \u062f\u0631\u062c\u0629 \u0623\u0648 \u0632\u0648\u0627\u064a\u0627 \u0632\u0627\u0626\u062f\/\u0646\u0627\u0642\u0635 \u03c0\/2<\/h3>\n

\u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0628\u0645\u0642\u062f\u0627\u0631 90 \u062f\u0631\u062c\u0629<\/strong> \u0623\u0648 \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0632\u0627\u0626\u062f\/\u0646\u0627\u0642\u0635 \u03c0\/2<\/strong> (\u03b1 \u0648 \u03b2<\/em> ) \u0647\u064a \u062a\u0644\u0643 \u0627\u0644\u062a\u064a \u064a\u0628\u0644\u063a \u0627\u0644\u0641\u0631\u0642 \u0641\u064a\u0647\u0627 90 \u062f\u0631\u062c\u0629. \u0648\u0644\u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646\u0647\u0627 \u0643\u0640 \u03b2<\/em> \u2013 \u03b1<\/em> = 90\u00b0\u060c \u062d\u064a\u062b \u03b2<\/em> \u0623\u0643\u0628\u0631 \u0628\u0645\u0642\u062f\u0627\u0631 90\u00b0 \u0645\u0646 \u03b1<\/em> . \u062a\u062d\u062a\u0648\u064a \u0647\u0630\u0647 \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0623\u064a\u0636\u064b\u0627 \u0639\u0644\u0649 \u0633\u0644\u0633\u0644\u0629 \u0645\u0646 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u062a\u064a \u062a\u0631\u0628\u0637 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0644\u0632\u0627\u0648\u064a\u062a\u064a\u0646.<\/p>\n

\u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 90\u00b0: sin (90\u00b0 + \u03b1) = cos (\u03b1)<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 90\u00b0: cos (90\u00b0 + \u03b1) = -sin (\u03b1)<\/p>\n

\u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 90 \u062f\u0631\u062c\u0629: \u0638\u0627 (90 \u062f\u0631\u062c\u0629 + \u03b1) = \u2013 \u0643\u0648\u062a\u0627\u0646 (\u03b1)<\/p>\n

\u0642\u0627\u0637\u0639 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 90\u00b0: cosec (90\u00b0 + \u03b1) = sec (\u03b1)<\/p>\n

\u0642\u0627\u0637\u0639 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 90 \u062f\u0631\u062c\u0629: \u062b\u0627\u0646\u064a\u0629 (90 \u062f\u0631\u062c\u0629 + \u03b1) = -cosec (\u03b1)<\/p>\n

\u0638\u0644 \u0627\u0644\u062a\u0645\u0627\u0645 \u0644\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 90 \u062f\u0631\u062c\u0629: \u0643\u0648\u062a\u0627\u0646 (90 \u062f\u0631\u062c\u0629 + \u03b1) = -\u0643\u0648\u062a\u0627\u0646 (\u03b1)<\/p>\n

\u0632\u0648\u0627\u064a\u0627 \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 180 \u062f\u0631\u062c\u0629 \u0623\u0648 \u0632\u0648\u0627\u064a\u0627 \u0632\u0627\u0626\u062f\/\u0646\u0627\u0642\u0635 \u03c0<\/h3>\n

\u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u0632\u0627\u0626\u062f\u0629\/\u0627\u0644\u0633\u0627\u0644\u0628\u0629 \u03c0<\/strong> (\u03b1 \u0648 \u03b2<\/em> ) \u062a\u0639\u0627\u062f\u0644 \u0627\u0644\u0632\u0648\u0627\u064a\u0627 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0628\u0645\u0642\u062f\u0627\u0631 180 \u062f\u0631\u062c\u0629. \u0644\u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629: \u03b2<\/em> \u2013 \u03b1<\/em> = 180\u00b0\u060c \u062d\u064a\u062b \u03b2<\/em> 180\u00b0 \u0623\u0643\u0628\u0631 \u0645\u0646 \u03b1<\/em> . \u0648\u0628\u0639\u062f \u0630\u0644\u0643 \u0646\u0639\u0631\u0636 \u0644\u0643 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u0628\u0637 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0644\u0647\u0630\u0647 \u0627\u0644\u0632\u0648\u0627\u064a\u0627:<\/p>\n

\u062c\u064a\u0628 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 180\u00b0: sin (180\u00b0 + \u03b1<\/em> ) = -sin ( \u03b1<\/em> )<\/p>\n

\u062c\u064a\u0628 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 180\u00b0: cos (180\u00b0 + \u03b1<\/em> ) = -cos ( \u03b1<\/em> )<\/p>\n

\u0638\u0644 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 180 \u062f\u0631\u062c\u0629: \u0638\u0627 (180\u00b0 + \u03b1<\/em> ) = \u0638\u0627 ( \u03b1<\/em> )<\/p>\n

\u0642\u0627\u0637\u0639 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 180\u00b0: cosec (180\u00b0 + \u03b1<\/em> ) = -cosec ( \u03b1<\/em> )<\/p>\n

\u0642\u0627\u0637\u0639 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 180\u00b0: sec (180\u00b0 + \u03b1<\/em> ) = -sec ( \u03b1<\/em> )<\/p>\n

\u0638\u0644 \u062a\u0645\u0627\u0645 \u0627\u0644\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062e\u062a\u0644\u0641 \u0639\u0646 180 \u062f\u0631\u062c\u0629: \u0643\u0648\u062a\u0627\u0646 (180 \u062f\u0631\u062c\u0629 + \u03b1<\/em> ) = \u0643\u0648\u062a\u0627\u0646 ( \u03b1<\/em> )<\/p>\n

\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629<\/span><\/h2>\n

\u0648\u0623\u062e\u064a\u0631\u0627\u060c \u0647\u0646\u0627\u0643 \u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0645\u062b\u0644\u062b\u064a\u0629 \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0646\u0633\u0628\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u0645\u0639\u064a\u0646\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0639\u0645\u0644\u064a\u0627\u062a \u0623\u062e\u0631\u0649<\/strong> . \u0644\u0630\u0627\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0646\u0633\u0628 \u0648\u0646\u0631\u064a\u062f \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646\u0647 \u0643\u062d\u0627\u0635\u0644\u060c \u0641\u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0644\u062c\u0648\u0621 \u0625\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a. \u0628\u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646\u0647 \u0644\u0644\u0623\u0633\u0641 \u0644\u0627 \u064a\u0648\u062c\u062f \u062a\u0639\u0628\u064a\u0631 \u0644\u0643\u0644 \u0639\u0645\u0644\u064a\u0629 \u062d\u0633\u0627\u0628\u064a\u0629\u060c \u0625\u0644\u0627 \u0623\u0646\u0647 \u064a\u0645\u0643\u0646\u0643 \u0641\u0642\u0637 \u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0645\u0646 \u0627\u0644\u062c\u0645\u0639 \u0623\u0648 \u0627\u0644\u0637\u0631\u062d \u0625\u0644\u0649 \u0627\u0644\u0645\u0646\u062a\u062c \u0648\u0627\u0644\u0639\u0643\u0633<\/strong> .<\/p>\n

\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062c\u0645\u0639 \u0623\u0648 \u0627\u0644\u0637\u0631\u062d \u0625\u0644\u0649 \u0627\u0644\u0645\u0646\u062a\u062c<\/h3>\n

\u062a\u0633\u0627\u0639\u062f\u0646\u0627 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u0623\u0631\u0628\u0639 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0641\u064a \u062d\u0633\u0627\u0628 \u062c\u0645\u0639 \u0648\u0637\u0631\u062d \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629: <\/p>\n

\n
\"\u062a\u062d\u0648\u064a\u0644<\/figure>\n<\/div>\n

\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0646\u062a\u062c \u0625\u0644\u0649 \u0627\u0644\u062c\u0645\u0639 \u0623\u0648 \u0627\u0644\u0637\u0631\u062d<\/h3>\n

\u062a\u0633\u0627\u0639\u062f\u0646\u0627 \u0627\u0644\u0635\u064a\u063a \u0627\u0644\u0623\u0631\u0628\u0639 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0641\u064a \u062d\u0633\u0627\u0628 \u0645\u0646\u062a\u062c\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629: <\/p>\n

\n
\"\u062a\u062d\u0648\u064a\u0644<\/figure>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0647\u064a \u0645\u0633\u0627\u0648\u0627\u0629 \u0628\u064a\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629. \u0648\u0628\u0641\u0636\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0646\u0633\u0628\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u0645\u0639\u064a\u0646\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0623\u064a \u0646\u0633\u0628\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u0623\u062e\u0631\u0649. \u0648\u0644\u0630\u0644\u0643 \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0645\u0639\u0631\u0641\u0629 \u0635\u064a\u063a \u0647\u0630\u0647 \u0627\u0644\u0646\u0633\u0628 \u0644\u0641\u0647\u0645 \u0635\u064a\u063a \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629. \u0625\u0630\u0627 \u0643\u0646\u062a \u0644\u0627 \u062a\u0639\u0631\u0641\u0647\u0645 \u0641\u064a \u062d\u0627\u0644\u062a\u0643\u060c \u0641\u0646\u0646\u0635\u062d\u0643 \u0628\u0632\u064a\u0627\u0631\u0629 \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u0623\u062e\u064a\u0631. \u062c\u062f\u0648\u0644 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0634\u0643\u0644 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0647\u0646\u0627\u0643 \u0633\u0644\u0633\u0644\u0629 …<\/p>\n

\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[9,28],"tags":[],"class_list":["post-131","post","type-post","status-publish","format-standard","hentry","category-9","category-28"],"yoast_head":"\n\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f -\u0627\u0644\u0631\u0634\u062f<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0647\u0648\u064a\u0627\u062a-\u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f -\u0627\u0644\u0631\u0634\u062f\" \/>\n<meta property=\"og:description\" content=\"\u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0647\u064a \u0645\u0633\u0627\u0648\u0627\u0629 \u0628\u064a\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629. \u0648\u0628\u0641\u0636\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0646\u0633\u0628\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u0645\u0639\u064a\u0646\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0623\u064a \u0646\u0633\u0628\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u0623\u062e\u0631\u0649. \u0648\u0644\u0630\u0644\u0643 \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0645\u0639\u0631\u0641\u0629 \u0635\u064a\u063a \u0647\u0630\u0647 \u0627\u0644\u0646\u0633\u0628 \u0644\u0641\u0647\u0645 \u0635\u064a\u063a \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629. \u0625\u0630\u0627 \u0643\u0646\u062a \u0644\u0627 \u062a\u0639\u0631\u0641\u0647\u0645 \u0641\u064a \u062d\u0627\u0644\u062a\u0643\u060c \u0641\u0646\u0646\u0635\u062d\u0643 \u0628\u0632\u064a\u0627\u0631\u0629 \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u0623\u062e\u064a\u0631. \u062c\u062f\u0648\u0644 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0634\u0643\u0644 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0647\u0646\u0627\u0643 \u0633\u0644\u0633\u0644\u0629 … \u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0647\u0648\u064a\u0627\u062a-\u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-16T17:57:55+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formulaire-didentites-trigonometriques.webp\" \/>\n<meta name=\"author\" content=\"\u0641\u0631\u064a\u0642 Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u0641\u0631\u064a\u0642 Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u0648\u0642\u062a \u0627\u0644\u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u064f\u0642\u062f\u0651\u0631\" \/>\n\t<meta name=\"twitter:data2\" content=\"\u062f\u0642\u064a\u0642\u0629 \u0648\u0627\u062d\u062f\u0629\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/\"},\"author\":{\"name\":\"\u0641\u0631\u064a\u0642 Mathority\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613\"},\"headline\":\"\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f\",\"datePublished\":\"2023-07-16T17:57:55+00:00\",\"dateModified\":\"2023-07-16T17:57:55+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/\"},\"wordCount\":176,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ar\/#organization\"},\"articleSection\":[\"\u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629\",\"\u0639\u0644\u0645 \u0627\u0644\u0645\u062b\u0644\u062b\u0627\u062a\"],\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/\",\"url\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/\",\"name\":\"\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f -\u0627\u0644\u0631\u0634\u062f\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ar\/#website\"},\"datePublished\":\"2023-07-16T17:57:55+00:00\",\"dateModified\":\"2023-07-16T17:57:55+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/#breadcrumb\"},\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/ar\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/ar\/#website\",\"url\":\"https:\/\/mathority.org\/ar\/\",\"name\":\"Mathority\",\"description\":\"\u062d\u064a\u062b \u064a\u0644\u062a\u0642\u064a \u0627\u0644\u0641\u0636\u0648\u0644 \u0628\u0627\u0644\u062d\u0633\u0627\u0628!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/ar\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/ar\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"ar\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/ar\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/ar\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613\",\"name\":\"\u0641\u0631\u064a\u0642 Mathority\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\/\/mathority.org\/ar\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"\u0641\u0631\u064a\u0642 Mathority\"},\"sameAs\":[\"http:\/\/mathority.org\/ar\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f -\u0627\u0644\u0631\u0634\u062f","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/ar\/\u0627\u0644\u0647\u0648\u064a\u0627\u062a-\u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\/","og_locale":"ar_AR","og_type":"article","og_title":"\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f -\u0627\u0644\u0631\u0634\u062f","og_description":"\u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0647\u064a \u0645\u0633\u0627\u0648\u0627\u0629 \u0628\u064a\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629. \u0648\u0628\u0641\u0636\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0646\u0633\u0628\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u0645\u0639\u064a\u0646\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0623\u064a \u0646\u0633\u0628\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u0623\u062e\u0631\u0649. \u0648\u0644\u0630\u0644\u0643 \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0645\u0639\u0631\u0641\u0629 \u0635\u064a\u063a \u0647\u0630\u0647 \u0627\u0644\u0646\u0633\u0628 \u0644\u0641\u0647\u0645 \u0635\u064a\u063a \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629. \u0625\u0630\u0627 \u0643\u0646\u062a \u0644\u0627 \u062a\u0639\u0631\u0641\u0647\u0645 \u0641\u064a \u062d\u0627\u0644\u062a\u0643\u060c \u0641\u0646\u0646\u0635\u062d\u0643 \u0628\u0632\u064a\u0627\u0631\u0629 \u0627\u0644\u0631\u0627\u0628\u0637 \u0627\u0644\u0623\u062e\u064a\u0631. \u062c\u062f\u0648\u0644 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0634\u0643\u0644 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0647\u0646\u0627\u0643 \u0633\u0644\u0633\u0644\u0629 … \u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f »","og_url":"https:\/\/mathority.org\/ar\/\u0627\u0644\u0647\u0648\u064a\u0627\u062a-\u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\/","article_published_time":"2023-07-16T17:57:55+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formulaire-didentites-trigonometriques.webp"}],"author":"\u0641\u0631\u064a\u0642 Mathority","twitter_card":"summary_large_image","twitter_misc":{"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629":"\u0641\u0631\u064a\u0642 Mathority","\u0648\u0642\u062a \u0627\u0644\u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u064f\u0642\u062f\u0651\u0631":"\u062f\u0642\u064a\u0642\u0629 \u0648\u0627\u062d\u062f\u0629"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/"},"author":{"name":"\u0641\u0631\u064a\u0642 Mathority","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613"},"headline":"\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f","datePublished":"2023-07-16T17:57:55+00:00","dateModified":"2023-07-16T17:57:55+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/"},"wordCount":176,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/ar\/#organization"},"articleSection":["\u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629","\u0639\u0644\u0645 \u0627\u0644\u0645\u062b\u0644\u062b\u0627\u062a"],"inLanguage":"ar","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/","url":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/","name":"\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f -\u0627\u0644\u0631\u0634\u062f","isPartOf":{"@id":"https:\/\/mathority.org\/ar\/#website"},"datePublished":"2023-07-16T17:57:55+00:00","dateModified":"2023-07-16T17:57:55+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/#breadcrumb"},"inLanguage":"ar","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%87%d9%88%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d9%85%d8%ab%d9%84%d8%ab%d9%8a%d8%a9\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/ar\/"},{"@type":"ListItem","position":2,"name":"\u0645\u0627 \u0647\u064a \u0627\u0644\u0647\u0648\u064a\u0627\u062a \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629\u061f"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/ar\/#website","url":"https:\/\/mathority.org\/ar\/","name":"Mathority","description":"\u062d\u064a\u062b \u064a\u0644\u062a\u0642\u064a \u0627\u0644\u0641\u0636\u0648\u0644 \u0628\u0627\u0644\u062d\u0633\u0627\u0628!","publisher":{"@id":"https:\/\/mathority.org\/ar\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/ar\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"ar"},{"@type":"Organization","@id":"https:\/\/mathority.org\/ar\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/ar\/","logo":{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/ar\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/ar\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/b6c8cd3c82fb4228ce41b667b17bd613","name":"\u0641\u0631\u064a\u0642 Mathority","image":{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/mathority.org\/ar\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"\u0641\u0631\u064a\u0642 Mathority"},"sameAs":["http:\/\/mathority.org\/ar"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts\/131","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/comments?post=131"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/posts\/131\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/media?parent=131"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/categories?post=131"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/ar\/wp-json\/wp\/v2\/tags?post=131"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}