{"id":126,"date":"2023-07-16T18:00:34","date_gmt":"2023-07-16T18:00:34","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%b8%89%e8%a7%92%e6%af%94\/"},"modified":"2023-07-16T18:00:34","modified_gmt":"2023-07-16T18:00:34","slug":"%e4%b8%89%e8%a7%92%e6%af%94","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%b8%89%e8%a7%92%e6%af%94\/","title":{"rendered":"\u4ec0\u4e48\u662f\u4e09\u89d2\u6bd4\uff1f"},"content":{"rendered":"<p><strong>\u89d2\u5ea6\u7684\u4e09\u89d2\u6bd4<\/strong>\u662f\u4ece\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u4e09\u6761\u8fb9\u83b7\u5f97\u7684\u6bd4\u7387\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u8fd9\u4e9b\u662f\u4f7f\u7528\u5546\uff08\u9664\u6cd5\uff09\u6bd4\u8f83\u5176\u4e09\u8fb9\u800c\u5f97\u5230\u7684\u503c\u3002\u4f46\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u4e9b\u539f\u56e0\u53ea\u5b58\u5728\u4e8e\u76f4\u89d2\u4e09\u89d2\u5f62\uff08\u89d2\u4e3a 90\u00b0 \u7684\u4e09\u89d2\u5f62\uff09\u4e2d\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Razones_trigonometricas_en_un_triangulo_rectangulo\">\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\u7684\u4e09\u89d2\u6bd4<\/span><\/h2>\n<p>\u516d\u4e2a\u6700\u91cd\u8981\u7684\u4e09\u89d2\u6bd4\u662f\uff1a\u6b63\u5f26\u3001\u4f59\u5f26\u3001\u6b63\u5207\u3001\u4f59\u5272\u3001\u6b63\u5272\u548c\u4f59\u5207\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u8be6\u7ec6\u89e3\u91ca\u5982\u4f55\u5b9a\u4e49\u8fd9\u4e9b\u539f\u56e0\uff0c\u5e76\u8ba8\u8bba\u8868\u5f81\u5b83\u4eec\u7684\u516c\u5f0f\u3002\u4e3a\u4e86\u7406\u89e3\u4ee5\u4e0b\u89e3\u91ca\uff0c\u6211\u4eec\u5c06\u8003\u8651\u4ee5\u4e0b\u76f4\u89d2\u4e09\u89d2\u5f62\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"319\" height=\"248\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/triangle-rectangle.webp\" data-src=\"\" alt=\"\u4e09\u89d2\u5f62 \u957f\u65b9\u5f62\" class=\"wp-image-7379 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\">\u80f8\u90e8<\/h3>\n<p>\u89d2\u5ea6\uff08sin \u6216 sin\uff09\u7684\u6b63\u5f26\u503c\u7b49\u4e8e\u5bf9\u8fb9 a \u4e0e\u659c\u8fb9 c \u7684\u5546\uff0c\u56e0\u6b64\uff0c\u6b63\u5f26\u516c\u5f0f\u4e3a\uff1a <strong>sin (\u03b1) = a \/ c<\/strong> \u3002\u4e86\u89e3\u6b63\u5f26\u7684\u5b9a\u4e49\u975e\u5e38\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u662f\u6240\u6709\u4e09\u89d2\u5b66\u7684\u57fa\u7840\uff0c\u4ee5\u53ca\u6211\u4eec\u5c06\u5728\u672c\u8282\u4e2d\u4ecb\u7ecd\u7684\u5176\u4ed6\u539f\u56e0\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"322\" height=\"324\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-sinusoidale.webp\" data-src=\"\" alt=\"\u6b63\u5f26\u516c\u5f0f\" class=\"wp-image-7382 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u7279\u62c9\u592b<mark class=\"has-inline-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u6839\u636e\u6b63\u5f26\u5b9a\u7406\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97<strong>\u4e09\u89d2\u5f62\u7684\u4efb\u4f55\u4e00\u6761\u8fb9<\/strong>\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8fde\u63a5\u5176\u76f8\u5e94\u8fb9\u4e4b\u95f4\u67d0\u4e2a\u89d2\u5ea6\u7684\u5546\u6765\u5b9e\u73b0\u8fd9\u4e00\u70b9\u3002\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u8981\u8ba1\u7b97\u8fb9a\uff0c\u5e76\u4e14\u6211\u4eec\u6709\u89d2\u5ea6A\u548cB\u7684\u8fb9\u503c\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u516c\u5f0f\uff1a <strong>a \/ sin (A) = b \/ sin (B)<\/strong> \u3002\u901a\u8fc7\u6c42\u89e3\u8fd9\u4e2a\u7b80\u5355\u7684\u65b9\u7a0b\uff0c\u6211\u4eec\u5f97\u5230\u4e86\u4e0e\u6211\u4eec\u60f3\u8981\u8ba1\u7b97\u7684\u53d8\u91cf\u76f8\u5bf9\u5e94\u7684\u503c\u3002<\/mark><\/p>\n<h3 class=\"wp-block-heading\">\u4f59\u5f26<\/h3>\n<p>\u89d2\u5ea6\u7684\u4f59\u5f26\uff08cos\uff09\u7b49\u4e8e\u76f8\u90bb\u8fb9\uff08b\uff09\u4e0e\u659c\u8fb9\uff08c\uff09\u7684\u5546\uff0c\u56e0\u6b64\uff0c\u4f59\u5f26\u516c\u5f0f\u4e3a\uff1a <strong>cos\uff08\u03b1\uff09= b \/ c<\/strong> \u3002\u5728\u672c\u4f8b\u4e2d\uff0c\u8be5\u516c\u5f0f\u7531\u4e0e\u6211\u4eec\u8981\u7814\u7a76\u7684\u89d2\u5ea6\uff08\u5728\u672c\u4f8b\u4e2d\u4e3a\u89d2\u5ea6 A \u6216 \u03b1\uff09\u76f8\u63a5\u89e6\u7684\u4e09\u89d2\u5f62\u7684\u4e24\u6761\u8fb9\u7ec4\u6210\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"302\" height=\"297\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-cosinus.webp\" data-src=\"\" alt=\"\u4f59\u5f26\u516c\u5f0f\" class=\"wp-image-7385 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6709\u4e86\u4f59\u5f26\uff0c\u6211\u4eec\u8fd8\u6709\u4e00\u79cd\u65b9\u6cd5\u6765\u8ba1\u7b97<strong>\u4e09\u89d2\u5f62\u7684\u8fb9<\/strong>\uff0c\u8fd9\u6765\u81ea\u4e8e\u4f59\u5f26\u5b9a\u7406\u3002\u8fd9\u4f7f\u6211\u4eec\u80fd\u591f\u5c06\u8fb9\u4e0e\u89d2\u8fde\u63a5\u8d77\u6765\uff0c\u5e76\u7ed9\u51fa\u4ee5\u4e0b\u4e09\u4e2a\u8868\u8fbe\u5f0f\uff1a<\/p>\n<p class=\"has-text-align-center\"> a\u00b2 = b\u00b2 + c\u00b2 \u2013 2bc cos (A)<\/p>\n<p class=\"has-text-align-center\"> b\u00b2 = a\u00b2 + c\u00b2 \u2013 2ac cos (B)<\/p>\n<p class=\"has-text-align-center\"> c\u00b2 = a\u00b2 + b\u00b2 \u2013 2ab cos (C)<\/p>\n<h3 class=\"wp-block-heading\">\u5207\u7ebf<\/h3>\n<p>\u7b2c\u4e09\u4e2a\u6700\u91cd\u8981\u7684\u539f\u56e0\u662f\u5207\u7ebf\uff08tan \u6216 tg\uff09\uff0c\u6211\u4eec\u5c06\u7528\u5b83\u6765\u7ed3\u675f\u539f\u59cb\u539f\u56e0\u96c6\u3002\u8fd9\u662f\u901a\u8fc7\u5c06\u76f8\u5bf9\u8fb9 (a) \u548c\u76f8\u90bb\u8fb9 (b) \u76f8\u9664\u6765\u8ba1\u7b97\u7684\uff0c\u56e0\u6b64\u6b63\u5207\u516c\u5f0f\u4e3a\uff1a <strong>tan (\u03b1) = a \/ b<\/strong> \u3002\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u4ee5\u56fe\u5f62\u65b9\u5f0f\u67e5\u770b\u5b83\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"291\" height=\"297\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-tangente.webp\" data-src=\"\" alt=\"\u6b63\u5207\u516c\u5f0f\" class=\"wp-image-7386 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6b63\u5207\u4e5f\u6709\u81ea\u5df1\u7684\u5b9a\u7406\uff0c\u79f0\u4e3a\u6b63\u5207\u5b9a\u7406\u3002\u8fd9\u4f7f\u6211\u4eec\u80fd\u591f\u5c06<strong>\u4e09\u89d2\u5f62\u4e24\u6761\u8fb9<\/strong>\u7684\u957f\u5ea6\u4e0e<strong>\u89d2\u7684\u6b63\u5207<\/strong>\u8054\u7cfb\u8d77\u6765\u3002\u9648\u8ff0\u5982\u4e0b\uff1a\u201c\u4e24\u6761\u8fb9\u76f8\u51cf\u6240\u5f97\u7684\u5546\u7b49\u4e8e\u4e0e\u8fd9\u4e24\u6761\u8fb9\u76f8\u5bf9\u7684\u4e24\u4e2a\u89d2\u7684\u5e73\u5747\u503c\u7684\u6b63\u5207\u4e0e\u8fd9\u4e9b\u8fb9\u4e4b\u5dee\u7684\u4e00\u534a\u7684\u6b63\u5207\u4e4b\u95f4\u7684\u5546\u201d\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5bfc\u51fa\u7684\u4e09\u89d2\u6bd4\u7387<\/h3>\n<p>\u4ece\u6211\u4eec\u521a\u624d\u8ba8\u8bba\u7684\u4e09\u4e2a\u4e09\u89d2\u6bd4\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u5176\u4ed6\u5bfc\u51fa\u7684\u4e09\u89d2\u6bd4\u3002\u8fd9\u4e9b\u662f\u901a\u8fc7\u53d6\u6b63\u5f26\u3001\u4f59\u5f26\u548c\u6b63\u5207\u7684\u53cd\u6bd4\u6765\u83b7\u5f97\u7684\u3002<\/p>\n<ul>\n<li><strong>\u4f59\u5272\uff1a<\/strong>\u662f\u6b63\u5f26\u7684\u53cd\u6bd4\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1acosec (\u03b1) = c \/ a \u548c cosec (\u03b1) = 1 \/ sin (\u03b1)\u3002<\/li>\n<li><strong>\u6b63\u5272\uff1a<\/strong>\u662f\u4f59\u5f26\u7684\u53cd\u6bd4\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1asec (\u03b1) = c \/ b \u548c sec (\u03b1) = 1 \/ cos (\u03b1)\u3002<\/li>\n<li><strong>\u4f59\u5207\uff1a<\/strong>\u662f\u6b63\u5207\u7684\u53cd\u6bd4\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1acotg (\u03b1) = b \/ a \u548c cotg (\u03b1) = 1 \/ tan (\u03b1)\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span id=\"Tabla_de_razones_trigonometricas\">\u4e09\u89d2\u6bd4\u7387\u8868<\/span><\/h2>\n<p>\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u770b\u5230\u4e00\u4e2a\u8868\u683c\uff0c\u5176\u4e2d\u603b\u7ed3\u4e86\u8fc4\u4eca\u4e3a\u6b62\u89e3\u91ca\u7684\u6240\u6709\u539f\u56e0\u3002\u6709\u4e86\u8fd9\u5f20\u8868\uff0c\u60a8\u5c06\u80fd\u591f\u6709\u6548\u5730\u8bb0\u4f4f\u6240\u6709\u516c\u5f0f\uff0c\u56e0\u4e3a\u5b83\u53ef\u4ee5\u8ba9\u60a8\u8f7b\u677e\u533a\u5206\u6bcf\u4e2a\u6570\u5b66\u8868\u8fbe\u5f0f\u4e4b\u95f4\u7684\u5dee\u5f02\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"403\" height=\"192\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/tableau-des-rapports-trigonometriques.webp\" data-src=\"\" alt=\"\u4e09\u89d2\u6bd4\u7387\u8868\" class=\"wp-image-7388 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span id=\"Razones_trigonometricas_en_una_circunferencia\">\u5706\u5185\u7684\u4e09\u89d2\u6bd4<\/span><\/h2>\n<p>\u7814\u7a76\u4e09\u89d2\u5b66\u7684\u53e6\u4e00\u79cd\u65b9\u6cd5\u662f\u901a\u8fc7<strong>\u6d4b\u89d2\u5706\u5468<\/strong>\u6216<strong>\u5355\u4f4d\u5706<\/strong>\uff0c\u8be5\u5706\u5468\u7684\u534a\u5f84\u7b49\u4e8e 1\uff0c\u5176\u539f\u70b9\u662f\u70b9 (0, 0)\u3002\u8be5\u56fe\u7531\u4e00\u4e2a\u5706\u548c\u5706\u5185\u63cf\u7ed8\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\u7ec4\u6210\uff0c\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u6211\u4eec\u8981\u7814\u7a76\u7684\u89d2\u5ea6\u5fc5\u987b\u4e0e\u539f\u70b9\u76f8\u63a5\u89e6\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"436\" height=\"436\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/circonference-goniometrique.webp\" data-src=\"\" alt=\"\u6d4b\u89d2\u5468\u957f\" class=\"wp-image-7389 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Circunferencia-goniometrica.png 436w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Circunferencia-goniometrica-300x300.png 300w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p>\u5f53\u6211\u4eec\u6709\u4e86\u8fd9\u5f20\u56fe\u50cf\u65f6\uff0c\u6211\u4eec\u77e5\u9053\u534a\u5f84\u7b49\u4e8e\u659c\u8fb9\uff0c\u5373\u7b49\u4e8e1\u3002\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u8981\u8ba1\u7b97\u6b63\u5f26\u548c\u4f59\u5f26\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u534a\u5f84\u7684\u503c\u548c\u5176\u4ed6\u8fb9\u7684\u503c\u4e09\u89d2\u5f62\u3002\u4e3a\u4e86\u8ba1\u7b97\u6b63\u5f26\uff0c\u6211\u4eec\u5c06\u8fdb\u884c\u4ee5\u4e0b\u8ba1\u7b97\uff1a <strong>sin (A) = CD \/ AC = CD \/ radius = CD \/ 1 = CD<\/strong> \uff0c\u56e0\u6b64 A \u7684\u6b63\u5f26\u4e3a a\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u8981\u8ba1\u7b97\u4f59\u5f26\uff0c\u6211\u4eec\u5c06\u8fdb\u884c\u4ee5\u4e0b\u8ba1\u7b97\uff1a <strong>cos (A) = AD \/ AC = AD \/ radius = AD \/ 1 = AD<\/strong> \uff0c\u56e0\u6b64 A \u7684\u4f59\u5f26\u4e3a c1\u3002<\/p>\n<p>\u8bb0\u4f4f\u4e24\u4ef6\u4e8b\u975e\u5e38\u91cd\u8981\u3002\u9996\u5148\uff0c\u5728\u4e09\u89d2\u6bd4\u7684\u7814\u7a76\u4e2d\u4f7f\u7528\u8fd9\u4e2a\u5706\u662f\u56e0\u4e3a\u9700\u8981\u5904\u7406\u6bd4\u4e09\u89d2\u5f62\u53ef\u4ee5\u7814\u7a76\u7684<strong>\u89d2\u5ea6\u66f4\u5927\u7684\u89d2\u5ea6<\/strong>\u3002\u4f8b\u5982\uff0c150\u00b0\u7684\u89d2\u4e0d\u80fd\u901a\u8fc7\u7b80\u5355\u7684\u4e09\u89d2\u5f62\u6765\u7814\u7a76\uff0c\u56e0\u4e3a\u5b83\u592a\u5927\u4e86\u3002\u7b2c\u4e8c\u4e2a\u8981\u8bb0\u4f4f\u7684\u4e8b\u60c5\u662f\uff0c\u6b63\u5f26\u548c\u4f59\u5f26\u6c38\u8fdc\u4e0d\u80fd\u91c7\u7528\u5927\u4e8e 1 \u4e14\u5c0f\u4e8e -1 \u7684\u503c\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4e09\u89d2\u6bd4\u7387\u7684\u7b26\u53f7<\/h3>\n<p>\u6b63\u5982\u6211\u4eec\u4e4b\u524d\u6240\u8bf4\uff0c\u4e3a\u4e86\u5904\u7406\u5927\u4e8e\u4e09\u89d2\u5f62\u5141\u8bb8\u6211\u4eec\u5904\u7406\u7684\u89d2\u5ea6\uff0c\u6211\u4eec\u4f7f\u7528\u6d4b\u89d2\u5468\u957f\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5728\u5212\u5206\u5706\u5468\u7684<strong>\u56db\u4e2a\u8c61\u9650<\/strong>\u4e4b\u4e00\u4e2d\u51c6\u786e\u5730\u8868\u793a\u5706\u5185\u7684\u4e09\u89d2\u5f62\uff0c\u5728\u4e0b\u56fe\u4e2d\u60a8\u53ef\u4ee5\u770b\u5230\u6240\u8868\u793a\u7684\u56db\u4e2a\u8c61\u9650\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"467\" height=\"470\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/quadrants-de-la-circonference-goniometrique.webp\" data-src=\"\" alt=\"\u6d4b\u89d2\u5706\u5468\u7684\u8c61\u9650\" class=\"wp-image-7392 lazyload\" srcset=\"\" sizes=\"auto, \"><figcaption class=\"wp-element-caption\">\u56db\u4e2a\u8c61\u9650\u7684\u793a\u4f8b<\/figcaption><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u8981\u533a\u5206 30 \u5ea6\u89d2\u548c 210 \u5ea6\u89d2\uff0c\u5b83\u4eec\u53d8\u5f97\u76f8\u540c<mark class=\"has-inline-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5173\u4e8e\u4e09\u89d2\u5f62\u5185\u7684\u5206\u5e03<\/mark>\uff0c\u6211\u4eec\u5c06\u6839\u636e\u4e09\u89d2\u5f62\u6240\u5728\u7684\u8c61\u9650\u4f7f\u7528<strong>\u7b26\u53f7\u5206\u5e03<\/strong>\u3002\u4e0b\u9762\u60a8\u53ef\u4ee5\u770b\u5230\u6bcf\u4e2a\u8c61\u9650\u5bf9\u5e94\u7684\u6807\u5fd7\u548c\u7ed8\u5236\u7684\u793a\u4f8b\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"463\" height=\"465\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/signes-quadrants-de-la-circonference.webp\" data-src=\"\" alt=\"\u5706\u5468\u7684\u8c61\u9650\u7b26\u53f7\" class=\"wp-image-7394 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Signos-cuadrante-de-la-circunferencia.png 463w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Signos-cuadrante-de-la-circunferencia-300x300.png 300w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p>\u4f8b\u5982\uff0c\u89d2\u5ea6 30\u00b0 \u548c 210\u00b0 \u5177\u6709<strong>\u76f8\u540c\u7684\u6570\u503c<\/strong>\uff0c\u4f46\u5b83\u4eec\u7684\u6b63\u5f26\u548c\u4f59\u5f26\u5177\u6709\u76f8\u53cd\u7684\u7b26\u53f7\u3002\u56e0\u6b64\uff1asin(30) = 1\/2 \u4e14 cos(30) = \u221a3\/2\uff0c\u800c sin(210) = -1\/2 \u4e14 cos(210) = -\u221a3\/2\u3002\u4e3a\u4e86\u8fbe\u5230\u8fd9\u4e2a\u7ed3\u679c\uff0c\u6211\u4eec\u5728\u5706\u5468\u4e0a\u8868\u793a\u4e24\u4e2a\u89d2\u5ea6\uff08\u4e0b\u56fe\uff09\uff0c\u5e76\u9075\u5faa\u7b26\u53f7\u7684\u6307\u793a\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"459\" height=\"461\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-representation-dun-angle.webp\" data-src=\"\" alt=\"\u8868\u793a\u89d2\u5ea6\u7684\u793a\u4f8b\" class=\"wp-image-7393 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Ejemplo-de-representacion-de-un-angulo.png 459w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Ejemplo-de-representacion-de-un-angulo-300x300.png 300w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p>\u6700\u540e\uff0c\u5982\u4f55\u53ef\u4ee5\u6709<strong>\u5927\u4e8e 360\u00b0 \u7684\u89d2\u5ea6<\/strong>\uff0c\u5c3d\u7ba1\u770b\u8d77\u6765\u53ef\u80fd\u4e0d\u50cf\uff0c\u56e0\u4e3a\u5706\u5468\u53ea\u6709 360\u00b0\u3002\u4f46\u662f\uff0c\u5982\u679c\u6211\u4eec\u60f3\u8981\u6c42\u89e3 750\u00b0 \u7684\u89d2\u5ea6\uff0c\u6211\u4eec\u53ef\u4ee5\u51cf\u5c11\u5230 0\u00b0 \u5230 360\u00b0 \u4e4b\u95f4\u7684\u89d2\u5ea6\u3002\u53ea\u9700\u5c06 750\u00b0 \u9664\u4ee5 360\uff0c\u4f59\u6570\u5c31\u662f\u5269\u4f59\u7684\u89d2\u5ea6\uff0c\u5728 750\u00b0 \u7684\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5f97\u5230 30\u00b0 \u7684\u89d2\u5ea6\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u89d2\u5ea6\u7c7b\u578b\u53d6\u51b3\u4e8e\u8c61\u9650<\/h3>\n<p>\u4e0d\u540c\u89d2\u5ea6\u4e4b\u95f4\u5b58\u5728\u5173\u7cfb\uff0c\u8fd9\u4f7f\u6211\u4eec\u80fd\u591f\u8ba1\u7b97\u6bd4\u7387<mark class=\"has-inline-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5c5e\u4e8e\u5706\u7684\u6240\u6709\u89d2\u5ea6\u7684\u4e09\u89d2\u503c\u3002\u8ba9\u6211\u4eec\u4e86\u89e3\u8fd9\u4e9b\u539f\u56e0<\/mark><strong>\u51cf\u5c11\u5230\u7b2c\u4e00\u8c61\u9650<\/strong>\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u4ece\u67d0\u4e2a\u89d2\u5ea6\u5230\u7b2c\u4e00\u8c61\u9650\u8fdb\u884c\u7b80\u5316\uff0c\u7136\u540e\u5e94\u7528\u76f8\u5e94\u7684\u7b26\u53f7\u3002\u4e0b\u9762\u60a8\u5c06\u627e\u5230\u4e0d\u540c\u7a0b\u5e8f\u7684\u89e3\u91ca\uff08\u53d6\u51b3\u4e8e\u8c61\u9650\uff09\uff1a<\/p>\n<h4 class=\"wp-block-heading\">\u7b2c\u4e00\u8c61\u9650<\/h4>\n<p>\u5728<strong>\u7b2c\u4e00\u4e2a\u8c61\u9650\uff080\u00b0 \u2013 90\u00b0\uff09\u4e2d\uff0c<\/strong>\u6211\u4eec\u53ea\u9700\u7528\u7ed9\u5b9a\u7684\u89d2\u5ea6\u6c42\u89e3\u4e09\u89d2\u6bd4\u5373\u53ef\u3002\u5982\u679c\u6211\u4eec\u770b\u4e00\u4e0b\u6211\u4eec\u4e4b\u524d\u89e3\u91ca\u8fc7\u7684\u7b26\u53f7\u7684\u56fe\u7247\uff0c\u6b63\u5f26\u548c\u4f59\u5f26\u524d\u9762\u90fd\u6709\u4e00\u4e2a\u6b63\u503c\uff08\u6211\u4eec\u5f97\u5230\u7684\u7ed3\u679c\u4e0d\u4f1a\u53d7\u5230\u7b26\u53f7\u7684\u5f71\u54cd\uff09\u3002<\/p>\n<h4 class=\"wp-block-heading\">\u4ece\u7b2c\u4e8c\u8c61\u9650\u51cf\u5c11\u5230\u7b2c\u4e00\u8c61\u9650<\/h4>\n<p>\u5728<strong>\u7b2c\u4e8c\u8c61\u9650 (90\u00b0 \u2013 180\u00b0)<\/strong>\u4e2d\uff0c\u6211\u4eec\u5904\u7406\u8865\u89d2\uff0c\u8fd9\u610f\u5473\u7740\u4e24\u4e2a\u89d2\u5ea6\u4e4b\u548c\u4e3a 180\u00b0\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u4ece\u7b2c\u4e8c\u8c61\u9650\u51cf\u5c11\u5230\u7b2c\u4e00\u8c61\u9650\uff0c\u6211\u4eec\u7528\u516c\u5f0f 180 \u2013 \u03b1 = <em>\u03b2<\/em>\u6765\u5b8c\u6210\uff0c\u5176\u4e2d \u03b1 \u662f\u7b2c\u4e00\u8c61\u9650\u7684\u89d2\u5ea6\uff0c <em>\u03b2<\/em>\u662f\u539f\u59cb\u89d2\u5ea6\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"792\" height=\"518\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angles-du-premier-quadrant.webp\" data-src=\"\" alt=\"\u7b2c\u4e00\u8c61\u9650\u89d2\" class=\"wp-image-7399 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Angulos-del-primer-cuadrante.png 792w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Angulos-del-primer-cuadrante-500x327.png 500w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Angulos-del-primer-cuadrante-768x502.png 768w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u7ed9\u5b9a\u89d2\u5ea6 135\u00b0\uff08\u5c5e\u4e8e\u7b2c\u4e8c\u8c61\u9650\uff09\uff0c\u6211\u4eec\u9700\u8981\u9996\u5148\u627e\u5230\u4e0e\u6b64\u76f8\u5173\u7684\u7b2c\u4e00\u8c61\u9650\u7684\u89d2\u5ea6\u3002\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u8981\u67e5\u627e\u7684\u89d2\u5ea6 (\u03b1) \u4e3a 45\u00b0\uff0c\u56e0\u4e3a 180 \u2013 45 = 135\u3002\u56e0\u6b64\uff0c\u8fd9\u5c06\u662f\u6b63\u786e\u7684\uff1asin (135) = sin (180 \u2013 45) = sin (45), cos (135 ) = cos (180 \u2013 45) = -cos (45) \u4e14 tan (135) = tan (180 \u2013 45) = -tan (45)\u3002<\/p>\n<h4 class=\"wp-block-heading\">\u5c06\u7b2c\u4e09\u8c61\u9650\u7f29\u5c0f\u5230\u7b2c\u4e00\u8c61\u9650<\/h4>\n<p>\u5728<strong>\u7b2c\u4e09\u8c61\u9650 (180\u00b0 \u2013 270\u00b0)<\/strong>\u4e2d\uff0c\u6211\u4eec\u5904\u7406\u76f8\u5dee 80\u00b0 \u7684\u89d2\u5ea6\uff0c\u8fd9\u610f\u5473\u7740\u89d2\u5ea6\u76f8\u8ddd 180\u00b0\u3002\u6240\u4ee5\u5982\u679c\u6211\u4eec\u60f3\u4ece\u7b2c\u4e09\u8c61\u9650\u51cf\u5c11\u5230\u7b2c\u4e00\u8c61\u9650\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u516c\u5f0f 180 + \u03b1 = <em>\u03b2<\/em> \uff0c\u5176\u4e2d \u03b1 \u662f\u7b2c\u4e00\u8c61\u9650\u7684\u89d2\u5ea6\uff0c <em>\u03b2<\/em>\u662f\u539f\u59cb\u89d2\u5ea6\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"697\" height=\"451\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/reduction-du-troisieme-quadrant-au-premier.webp\" data-src=\"\" alt=\"\u5c06\u7b2c\u4e09\u8c61\u9650\u7f29\u5c0f\u5230\u7b2c\u4e00\u8c61\u9650\" class=\"wp-image-7400 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Reduccion-del-tercer-cuadrante-al-primero.png 697w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/02\/Reduccion-del-tercer-cuadrante-al-primero-500x324.png 500w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u7ed9\u5b9a\u89d2\u5ea6 225\u00b0\uff08\u5c5e\u4e8e\u7b2c\u4e09\u8c61\u9650\uff09\uff0c\u6211\u4eec\u9700\u8981\u627e\u5230\u4e0e\u5176\u5bf9\u5e94\u7684\u7b2c\u4e00\u8c61\u9650\u7684\u89d2\u5ea6\u3002\u5728 225\u00b0 \u7684\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u8981\u67e5\u627e\u7684\u89d2\u5ea6 (\u03b1) \u53c8\u662f 45\u00b0\uff0c\u56e0\u4e3a 180 + 45 = 225\u3002\u56e0\u6b64\uff0csin (225) = sin (180 + 45) = -sin (45), cos (225) = cos (180 + 45) = -cos (45) \u4e14 tan (225) = tan (180 + 45) = tan (45) \u5c06\u5f97\u5230\u6ee1\u8db3\u3002 \uff09\u3002<\/p>\n<h4 class=\"wp-block-heading\">\u5c06\u7b2c\u56db\u8c61\u9650\u7f29\u5c0f\u5230\u7b2c\u4e00\u8c61\u9650<\/h4>\n<p>\u5728<strong>\u7b2c\u56db\u8c61\u9650\uff08270\u00b0 \u2013 360\u00b0\uff09\uff0c<\/strong>\u6211\u4eec\u5904\u7406\u76f8\u53cd\u7684\u89d2\u5ea6\uff0c<mark class=\"has-inline-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u8fd9\u610f\u5473\u7740\u89d2\u5ea6\u5728\u6570\u503c\u4e0a\u76f8\u7b49\uff0c\u4f46\u7b26\u53f7\u76f8\u53cd<\/mark>,<mark class=\"has-inline-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u4f8b\u5982 30\u00b0 \u548c -30\u00b0\uff08\u76f8\u5f53\u4e8e 330\u00b0\uff0c\u56e0\u4e3a 360\u00b0 \u2013 30\u00b0 = 330\u00b0\uff09<\/mark> \u3002\u91cd\u8981\u7684\u662f\u8981\u8bb0\u4f4f\uff0c\u5bf9\u89d2\u53ef\u4ee5\u5199\u4e3a\u6b63\u89d2\u548c\u8d1f\u89d2\u6216\u4e24\u4e2a\u6b63\u89d2\uff08\u5728\u6211\u4eec\u521a\u521a\u8ba8\u8bba\u7684\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u5dee\u5f02\uff09\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u60f3\u8981\u4ece\u7b2c\u56db\u8c61\u9650\u51cf\u5c11\u5230\u7b2c\u4e00\u8c61\u9650\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u516c\u5f0f 360 \u2013 \u03b1 = <em>\u03b2<\/em> \uff0c\u5176\u4e2d \u03b1 \u662f\u7b2c\u4e00\u8c61\u9650\u7684\u89d2\u5ea6\uff0c <em>\u03b2<\/em>\u662f\u539f\u59cb\u89d2\u5ea6\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"708\" height=\"440\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/reduction-du-quatrieme-quadrant-au-premier.webp\" data-src=\"\" alt=\"\u5c06\u7b2c\u56db\u8c61\u9650\u7f29\u5c0f\u5230\u7b2c\u4e00\u8c61\u9650\" class=\"wp-image-7402 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/03\/Reduccion-del-cuarto-cuadrante-al-primero.png 708w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/03\/Reduccion-del-cuarto-cuadrante-al-primero-500x311.png 500w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u7ed9\u5b9a\u89d2\u5ea6 315\u00b0\uff08\u5c5e\u4e8e\u7b2c\u56db\u8c61\u9650\uff09\uff0c\u6211\u4eec\u9700\u8981\u9996\u5148\u627e\u5230\u4e0e\u6b64\u76f8\u5173\u7684\u7b2c\u4e00\u8c61\u9650\u7684\u89d2\u5ea6\u3002\u5bf9\u4e8e\u6211\u4eec\u6b63\u5728\u5bfb\u627e\u7684\u89d2\u5ea6 (\u03b1)\uff0c\u5b83\u4ecd\u7136\u662f 45\u00b0\uff0c\u56e0\u4e3a 360 \u2013 45 = 315\u3002\u56e0\u6b64\uff0csin (315) = sin (360 \u2013 45) = -sin (45), cos ( 315 ) = cos (360 \u2013 45) = cos (45) \u4e14 tan (315) = tan (360 \u2013 45) = -tan (45)\u3002\u603b\u4e4b\uff0c\u6211\u4eec\u5df2\u7ecf\u770b\u5230\u4e86\u4ece\u6240\u6709\u8c61\u9650\u7684 45\u00b0 \u5bfc\u51fa\u7684\u89d2\u5ea6\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Razones_trigonometricas_de_los_angulos_mas_importantes\">\u6700\u91cd\u8981\u89d2\u5ea6\u7684\u4e09\u89d2\u6bd4<\/span><\/h2>\n<p>\u6709\u8bb8\u591a\u89d2\u5ea6\uff0c\u79f0\u4e3a<strong>\u663e\u89d2<\/strong>\uff0c\u5728\u4e09\u89d2\u5b66\u4e2d\u6700\u5e38\u89c1\u3002\u5f3a\u70c8\u5efa\u8bae\u719f\u8bb0\u4e09\u89d2\u6bd4\u7387\u3002\u56e0\u6b64\uff0c\u4e0b\u9762\u6211\u4eec\u521b\u5efa\u4e86\u4e00\u4e2a\u8868\u683c\uff0c\u5176\u4e2d\u5305\u542b\u8fd9\u4e9b\u89d2\u5ea6\u53ca\u5176\u5bfc\u6570\u7684\u4e09\u89d2\u6bd4\uff08\u76f8\u540c\u7684\u89d2\u5ea6\uff0c\u4f46\u76f8\u5dee 90\u3001180 \u6216 270 \u5ea6\uff09\uff1a <\/p>\n<div style=\"overflow-x: auto;\">\n<figure class=\"wp-block-table is-style-stripes\"><\/figure>\n<table>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\u89d2\u5ea6\uff08\u00b0\uff09<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u89d2\u5ea6\uff08\u5f27\u5ea6\uff09<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u80f8\u90e8<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u4f59\u5f26<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u5207\u7ebf<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">0\u00b0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0 \u62c9\u5fb7<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 30\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">1\/6\u03c0\u5f27\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">1\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u221a3\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u221a3\/3<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 45\u00b0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1\/4\u03c0\u5f27\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u221a2\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u221a2\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 60\u00b0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1\/3\u03c0\u5f27\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u221a3\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u221a3<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 90\u00b0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1\/2\u03c0rad<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u65e0\u7a77\u5927<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">120\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">5\/8\u03c0rad<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u221a3\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -1\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -\u221a3<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 135\u00b0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 3\/4\u03c0\u5f27\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u221a2\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -\u221a2\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -1<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 150\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">5\/8\u03c0rad<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -\u221a3\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -\u221a3\/3<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 180\u00b0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03c0\u5f27\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 225\u00b0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 5\/4\u03c0\u5f27\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">-\u221a2\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -\u221a2\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 270\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">3\/2\u03c0rad<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u65e0\u7a77\u5927<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">315\u00b0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 7\/4\u03c0\u5f27\u5ea6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">-\u221a2\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u221a2\/2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h2 class=\"wp-block-heading\"><span id=\"Relacion_entre_las_razones_trigonometricas\">\u4e09\u89d2\u6bd4\u4e4b\u95f4\u7684\u5173\u7cfb<\/span><\/h2>\n<p>\u6709\u591a\u79cd\u65b9\u6cd5\u53ef\u4ee5\u5173\u8054\u4e0d\u540c\u7684\u4e09\u89d2\u6bd4\u7387\u3002\u4ece\u8fd9\u4e9b\u5173\u7cfb\u4e2d\uff0c\u6211\u4eec\u83b7\u5f97\u4e86\u4e0d\u540c\u4e09\u89d2\u51fd\u6570\u4e4b\u95f4\u7684<strong>\u4e00\u79cd\u7b49\u5f0f<\/strong>\uff0c\u6211\u4eec\u79f0\u4e4b\u4e3a\u4e09\u89d2\u6052\u7b49\u5f0f\u3002\u7531\u4e8e\u8fd9\u79cd\u7c7b\u578b\u7684\u8eab\u4efd\uff0c\u6211\u4eec\u53ef\u4ee5\u6839\u636e\u4efb\u4f55\u5176\u4ed6\u8eab\u4efd\u6765\u8ba1\u7b97\u6bd4\u7387\u3002\u5e94\u8be5\u6ce8\u610f\u7684\u662f\uff0c\u4e09\u89d2\u6052\u7b49\u5f0f\u6709\u8bb8\u591a\u4e0d\u540c\u7c7b\u578b\uff0c\u5b83\u4eec\u662f\u6839\u636e\u652f\u6301\u8868\u8fbe\u5f0f\u672c\u8eab\u7684\u5173\u7cfb\u7c7b\u578b\u8fdb\u884c\u5206\u7c7b\u7684\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Ejercicios_resueltos_de_razones_trigonometricas\">\u4e09\u89d2\u6bd4\u89e3\u51b3\u7684\u95ee\u9898<\/span><\/h2>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u4e3a\u60a8\u63d0\u4f9b\u4e00\u7cfb\u5217\u7ec3\u4e60\uff0c\u60a8\u53ef\u4ee5\u5c06\u672c\u6587\u4e2d\u89e3\u91ca\u7684\u6240\u6709\u7406\u8bba\u4ed8\u8bf8\u5b9e\u8df5\u3002\u8bf7\u8bb0\u4f4f\uff0c\u5982\u679c\u60a8\u5728\u4efb\u4f55\u65f6\u5019\u9047\u5230\u56f0\u96be\u6216\u6709\u7591\u95ee\uff0c\u60a8\u53ef\u4ee5\u91cd\u8bfb\u8fd9\u7bc7\u6587\u7ae0\uff0c\u5e76\u4e14\u901a\u8fc7<strong>\u7b2c\u4e8c\u6b21\u9605\u8bfb<\/strong>\uff0c\u60a8\u80af\u5b9a\u4f1a\u66f4\u597d\u5730\u7406\u89e3\u6240\u6709\u5185\u5bb9\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4f60\u53ef\u4ee5\u5f00\u59cb\u7ec3\u4e60\uff1a<\/p>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p><strong>\u8ba1\u7b97 225\u00b0 \u7684\u516d\u4e2a\u4e09\u89d2\u6bd4\uff1a<\/strong><\/p>\n<p>\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u89d2\u5ea6 (\u03b1)\uff0c\u5b83\u7b49\u4e8e\uff1a180 + \u03b1 = 225\u00b0\uff0c\u56e0\u6b64 \u03b1 = 45\u00b0\u3002<\/p>\n<p class=\"has-text-align-center\">\u6b63\u5f26(225) = \u6b63\u5f26(180 + 45) = -\u6b63\u5f26(45) = -\u221a2\/2<\/p>\n<p class=\"has-text-align-center\"> cos(225) = cos(180 + 45) = -cos(45) = -\u221a2\/2<\/p>\n<p class=\"has-text-align-center\"> tan(225) = tan(180 + 45) = tan(45) = 1<\/p>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p><strong>\u8ba1\u7b97 120\u00b0 \u89d2\u7684\u516d\u4e2a\u4e09\u89d2\u6bd4\uff1a<\/strong><\/p>\n<p>\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u89d2\u5ea6 (\u03b1)\uff0c\u5b83\u7b49\u4e8e\uff1a180 \u2013 \u03b1 = 120\u00b0\uff0c\u56e0\u6b64 \u03b1 = 60\u00b0\u3002<\/p>\n<p class=\"has-text-align-center\">\u6b63\u5f26(120) = \u6b63\u5f26(180 \u2013 60) = \u6b63\u5f26(60) = \u221a3\/2<\/p>\n<p class=\"has-text-align-center\"> cos(120) = cos(180 \u2013 60) = -cos(60) = -1\/2<\/p>\n<p class=\"has-text-align-center\"> tan(120) = tan(180 \u2013 60) = -tan(60) = -\u221a3<\/p>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p><strong>\u8ba1\u7b97 510\u00b0 \u89d2\u7684\u516d\u4e2a\u4e09\u89d2\u6bd4\uff1a<\/strong><\/p>\n<p>\u5f00\u59cb\u4e4b\u524d\uff0c\u5fc5\u987b\u51cf\u5c11\u89d2\u5ea6\uff1a510 \/ 360 = 1 \u5708\uff0c\u5269\u4f59\u89d2\u5ea6\u4e3a 150\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u8ba1\u7b97\u89d2\u5ea6 (\u03b1)\uff0c\u5b83\u7b49\u4e8e\uff1a180 \u2013 \u03b1 = 150\uff0c\u56e0\u6b64 \u03b1 = 30\u00b0\u3002<\/p>\n<p class=\"has-text-align-center\">\u6b63\u5f26(150) = \u6b63\u5f26(180 \u2013 30) = \u6b63\u5f26(30) = 1\/2<\/p>\n<p class=\"has-text-align-center\"> cos(150) = cos(180 \u2013 30) = -cos(30) = -\u221a3\/2<\/p>\n<p class=\"has-text-align-center\"> tan(150) = tan(180 \u2013 30) = -tan(30) = -\u221a3\/3<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u89d2\u5ea6\u7684\u4e09\u89d2\u6bd4\u662f\u4ece\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u4e09\u6761\u8fb9\u83b7\u5f97\u7684\u6bd4\u7387\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u8fd9\u4e9b\u662f\u4f7f\u7528\u5546\uff08\u9664\u6cd5\uff09\u6bd4\u8f83\u5176\u4e09\u8fb9\u800c\u5f97\u5230\u7684\u503c\u3002\u4f46\u9700\u8981\u6ce8\u610f\u7684 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e4%b8%89%e8%a7%92%e6%af%94\/\"> <span class=\"screen-reader-text\">\u4ec0\u4e48\u662f\u4e09\u89d2\u6bd4\uff1f<\/span> \u67e5\u770b\u5168\u6587 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