{"id":362,"date":"2023-07-04T16:49:36","date_gmt":"2023-07-04T16:49:36","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f-%d0%ba%d0%be%d1%81%d0%b8%d0%bd%d1%83%d1%81%d0%b0\/"},"modified":"2023-07-04T16:49:36","modified_gmt":"2023-07-04T16:49:36","slug":"%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f-%d0%ba%d0%be%d1%81%d0%b8%d0%bd%d1%83%d1%81%d0%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f-%d0%ba%d0%be%d1%81%d0%b8%d0%bd%d1%83%d1%81%d0%b0\/","title":{"rendered":"\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441: \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435, \u043a\u0430\u043a\u043e\u0432\u0430 \u0435\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u043a\u0430\u043a \u0435\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0430\u043c\u043f\u043b\u0438\u0442\u0443\u0434\u0430, \u043f\u0435\u0440\u0438\u043e\u0434 \u0438 \u0442.\u0434. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u043f\u043e\u043d\u044f\u0442\u044c \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e. \u041e\u043d \u0434\u0430\u0436\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442 \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0438 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0438\u043c\u0435\u0435\u0442 \u0441 \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u0438 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f\u043c\u0438. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-fonctions-cosinus.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430\" class=\"wp-image-289\" width=\"766\" height=\"331\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-funcion-coseno\"><\/span> \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> <strong>\u041a\u043e\u0441\u0438\u043d\u0443\u0441<\/strong> \u0443\u0433\u043b\u0430 \u03b1 \u2014 \u044d\u0442\u043e \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u0430\u043a \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043f\u0440\u0438\u043b\u0435\u0436\u0430\u0449\u0435\u0433\u043e (\u0438\u043b\u0438 \u043f\u0440\u0438\u043b\u0435\u0436\u0430\u0449\u0435\u0433\u043e) \u043a\u0430\u0442\u0435\u0442\u0430 \u043a \u0433\u0438\u043f\u043e\u0442\u0435\u043d\u0443\u0437\u0435 \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u043e\u0433\u043e \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 (\u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u0441 \u043f\u0440\u044f\u043c\u044b\u043c \u0443\u0433\u043b\u043e\u043c). <\/p>\n<\/div>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-159\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/quelle-est-la-formule-de-la-fonction-cosinus.webp\" alt=\"\u043a\u0430\u043a\u043e\u0432\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430\" class=\"wp-image-290\" width=\"279\" height=\"66\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonctions-trigonometriques.webp\" alt=\"\u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u2014 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f\" class=\"wp-image-277\" width=\"233\" height=\"159\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<p> \u042d\u0442\u043e\u0442 \u0442\u0438\u043f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0435\u0449\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u044e\u0442 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u043e\u043c, \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u043e\u043c \u0438\u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430.<\/p>\n<p> \u041a\u043e\u0441\u0438\u043d\u0443\u0441 \u2014 \u043e\u0434\u043d\u043e \u0438\u0437 \u0442\u0440\u0435\u0445 \u0441\u0430\u043c\u044b\u0445 \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0445 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0439, \u043d\u0430\u0440\u044f\u0434\u0443 \u0441 \u0441\u0438\u043d\u0443\u0441\u043e\u043c \u0438 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u043e\u043c \u0443\u0433\u043b\u0430. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"valores-caracteristicos-de-la-funcion-coseno\"><\/span> \u0425\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0443\u0433\u043b\u044b \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u044e\u0442\u0441\u044f \u0447\u0430\u0441\u0442\u043e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0443\u0434\u043e\u0431\u043d\u043e \u0437\u043d\u0430\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u043f\u0440\u0438 \u044d\u0442\u0438\u0445 \u0443\u0433\u043b\u0430\u0445: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/valeurs-caracteristiques-fonction-cosinus.webp\" alt=\"\u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430\" class=\"wp-image-291\" width=\"719\" height=\"190\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0437\u043d\u0430\u043a \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u043a\u0432\u0430\u0434\u0440\u0430\u043d\u0442\u0430, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0443\u0433\u043e\u043b: \u0435\u0441\u043b\u0438 \u0443\u0433\u043e\u043b \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u043f\u0435\u0440\u0432\u043e\u0439 \u0438\u043b\u0438 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0439 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u0438, \u0442\u043e \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0431\u0443\u0434\u0435\u0442 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c, \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u0443\u0433\u043e\u043b \u043f\u043e\u043f\u0430\u0434\u0430\u0435\u0442 \u0432\u043e \u0432\u0442\u043e\u0440\u0443\u044e \u0438\u043b\u0438 \u0442\u0440\u0435\u0442\u044c\u044e \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044c , \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0431\u0443\u0434\u0435\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/signe-fonction-cosinus.webp\" alt=\"\u0437\u043d\u0430\u043a \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430\" class=\"wp-image-292\" width=\"284\" height=\"276\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-de-la-funcion-coseno\"><\/span> \u0413\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0421 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0430\u0431\u043b\u0438\u0446\u044b \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c \u0440\u0430\u0437\u0434\u0435\u043b\u0435, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430. \u041f\u043e\u0441\u0442\u0440\u043e\u0438\u0432 \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430, \u043f\u043e\u043b\u0443\u0447\u0438\u043c: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-graphique-cosinus.webp\" alt=\"\u043a\u0430\u043a \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430\" class=\"wp-image-293\" width=\"851\" height=\"238\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u043a\u0430, \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0432\u0441\u0435\u0433\u0434\u0430 \u043d\u0430\u0445\u043e\u0434\u044f\u0442\u0441\u044f \u043c\u0435\u0436\u0434\u0443 +1 \u0438 -1, \u0442\u043e \u0435\u0441\u0442\u044c \u043e\u043d\u0430 \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u0430 \u0441\u0432\u0435\u0440\u0445\u0443 +1, \u0430 \u0441\u043d\u0438\u0437\u0443 -1. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u044e\u0442\u0441\u044f \u043a\u0430\u0436\u0434\u044b\u0435 360 \u0433\u0440\u0430\u0434\u0443\u0441\u043e\u0432 (2\u03c0 \u0440\u0430\u0434\u0438\u0430\u043d), \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u044d\u0442\u043e <strong>\u043f\u0435\u0440\u0438\u043e\u0434\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/strong> , \u043f\u0435\u0440\u0438\u043e\u0434 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0440\u0430\u0432\u0435\u043d 360\u00ba.<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043d\u0430 \u044d\u0442\u043e\u043c \u0433\u0440\u0430\u0444\u0438\u043a\u0435 \u043c\u044b \u043f\u0440\u0435\u043a\u0440\u0430\u0441\u043d\u043e \u043f\u043e\u043d\u0438\u043c\u0430\u0435\u043c, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0447\u0435\u0442\u043d\u0430\u044f, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0435\u0435 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0435 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u044b \u0438\u043c\u0435\u044e\u0442 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u0435, \u0442\u043e \u0435\u0441\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 \u043a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u0430 (\u043e\u0441\u0438 Y). \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043a\u043e\u0441\u0438\u043d\u0443\u0441 90\u00b0 \u0440\u0430\u0432\u0435\u043d 0, \u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 -90\u00b0 \u0440\u0430\u0432\u0435\u043d 0.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-coseno\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0424\u0443\u043d\u043a\u0446\u0438\u044f \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0438\u043c\u0435\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438:<\/p>\n<ul>\n<li> \u041e\u0431\u043b\u0430\u0441\u0442\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0432\u0441\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443, \u043a\u0430\u043a \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442 \u0433\u0440\u0430\u0444\u0438\u043a, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 x.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0cd1539b66edeb38040ed80168e1fd9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"90\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041f\u0443\u0442\u044c \u0438\u043b\u0438 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u2014 \u043e\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 1 \u0434\u043e \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 1 (\u043e\u0431\u0430 \u0432\u043a\u043b\u044e\u0447\u0438\u0442\u0435\u043b\u044c\u043d\u043e).<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e482af9546623edf3132cf9076a0a2d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= [-1,1]\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u042d\u0442\u043e \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438 \u043f\u0430\u0440\u0430 \u0441 \u043f\u0435\u0440\u0438\u043e\u0434\u0438\u0447\u043d\u043e\u0441\u0442\u044c\u044e 2\u03c0.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73d05981a1aa8f4e0582314e95d39e41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }x = \\text{cos}(-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"124\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u042d\u0442\u043e\u0442 \u0442\u0438\u043f \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438\u043c\u0435\u0435\u0442 \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043e\u0441\u044c\u044e OY \u0432 \u0442\u043e\u0447\u043a\u0435 (0,1).<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dd01415f329053c1a450867378fc1582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0412\u043c\u0435\u0441\u0442\u043e \u044d\u0442\u043e\u0433\u043e \u043e\u043d \u043f\u0435\u0440\u0438\u043e\u0434\u0438\u0447\u0435\u0441\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u0435\u0442 \u0430\u0431\u0441\u0446\u0438\u0441\u0441\u0443 (\u043e\u0441\u044c X) \u0432 \u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0445 \u043a\u0440\u0430\u0442\u043d\u044b\u0445 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u0445 \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u00ab\u043f\u0438\u00bb.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd7154018fa3a27e9ef05fbd795c0ab0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{\\pi}{2}+k\\pi ,0\\right) \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"174\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041c\u0430\u043a\u0441\u0438\u043c\u0443\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u0435\u0442, \u043a\u043e\u0433\u0434\u0430:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-afd30b6f4068ae25bcf6f5c3c5383b49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = 2\\pi k \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"142\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0418 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442, \u043c\u0438\u043d\u0438\u043c\u0443\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0432\u043e\u0437\u043d\u0438\u043a\u0430\u0435\u0442 \u043f\u0440\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36b69eacefd39b7629ec6390f9aa2534_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\pi(2k +1 ) \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"186\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0438\u043d\u0443\u0441 \u0441 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u043d\u044b\u043c \u0437\u043d\u0430\u043a\u043e\u043c:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b95627ad9c9def0c5067ac09d10a2e6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos } x \\ \\longrightarrow \\ f'(x)= -\\text{sen } x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"265\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0440\u0430\u0432\u0435\u043d \u0441\u0438\u043d\u0443\u0441\u0443: <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-24ca02414a475f41f1834c4e98945f5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int \\text{cos } x \\ dx= \\text{sen } x + C\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"186\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"periodo-y-amplitud-de-la-funcion-coseno\"><\/span> \u041f\u0435\u0440\u0438\u043e\u0434 \u0438 \u0430\u043c\u043f\u043b\u0438\u0442\u0443\u0434\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u043d\u0430 \u0435\u0433\u043e \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0435\u0440\u0438\u043e\u0434\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439, \u0442\u043e \u0435\u0441\u0442\u044c \u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u044e\u0442\u0441\u044f \u0441 \u0447\u0430\u0441\u0442\u043e\u0442\u043e\u0439. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043e\u0442 \u0435\u0433\u043e \u0430\u043c\u043f\u043b\u0438\u0442\u0443\u0434\u044b \u0437\u0430\u0432\u0438\u0441\u044f\u0442 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0435 \u0438 \u043c\u0438\u043d\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u043c\u0435\u0436\u0434\u0443 \u043a\u043e\u0442\u043e\u0440\u044b\u043c\u0438 \u043e\u043d \u043a\u043e\u043b\u0435\u0431\u043b\u0435\u0442\u0441\u044f. \u0418\u0442\u0430\u043a, \u0434\u0432\u0443\u043c\u044f \u0432\u0430\u0436\u043d\u044b\u043c\u0438 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430\u043c\u0438, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u044e\u0449\u0438\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430, \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0435\u0435 \u043f\u0435\u0440\u0438\u043e\u0434 \u0438 \u0430\u043c\u043f\u043b\u0438\u0442\u0443\u0434\u0430:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d7700fc10f642ba455e6ed144d6d920_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= A\\text{cos}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u041f\u0435\u0440\u0438\u043e\u0434<\/strong> \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u2014 \u044d\u0442\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0433\u0440\u0430\u0444\u0438\u043a \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u0435\u0442\u0441\u044f, \u0438 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7fb20df076d5a234a762eddb6296460_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Periodo}=T=\\cfrac{2\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"141\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u0412\u0435\u043b\u0438\u0447\u0438\u043d\u0430<\/strong> \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0443 \u043f\u0435\u0440\u0435\u0434 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u043e\u043c.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fa2caa412704d15a278c5d8a0f1773d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Amplitud}=A\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"111\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041d\u0438\u0436\u0435 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a, \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u044e\u0449\u0438\u0439 \u044d\u0444\u0444\u0435\u043a\u0442\u044b \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u043f\u0435\u0440\u0438\u043e\u0434\u0430 \u0438\u043b\u0438 \u0430\u043c\u043f\u043b\u0438\u0442\u0443\u0434\u044b: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-fonctions-cosinus.webp\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430\" class=\"wp-image-289\" width=\"802\" height=\"347\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0412 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0439 \u0437\u0435\u043b\u0435\u043d\u044b\u043c, \u043c\u044b \u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u043f\u0440\u0438 \u0443\u0434\u0432\u043e\u0435\u043d\u0438\u0438 \u0430\u043c\u043f\u043b\u0438\u0442\u0443\u0434\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u0438\u0442 \u043e\u0442 +2 \u043a -2 \u0432\u043c\u0435\u0441\u0442\u043e +1 \u043a -1. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0439 \u043a\u0440\u0430\u0441\u043d\u044b\u043c, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u043e\u043d\u0430 \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u0442 \u0432 \u0434\u0432\u0430 \u0440\u0430\u0437\u0430 \u0431\u044b\u0441\u0442\u0440\u0435\u0435, \u0447\u0435\u043c \u00ab\u043a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0430\u044f\u00bb \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0435\u0435 \u043f\u0435\u0440\u0438\u043e\u0434 \u0443\u043c\u0435\u043d\u044c\u0448\u0435\u043d \u0432\u0434\u0432\u043e\u0435.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"teorema-del-coseno\"><\/span> \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0425\u043e\u0442\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u043e\u0431\u044b\u0447\u043d\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0432 \u043f\u0440\u044f\u043c\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u044b\u0445 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430\u0445, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u0430\u043a\u0436\u0435 \u0442\u0435\u043e\u0440\u0435\u043c\u0430, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u043a \u043b\u044e\u0431\u043e\u043c\u0443 \u0442\u0438\u043f\u0443 \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432: \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0438\u043b\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430.<\/p>\n<p> <strong>\u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u043e\u0432<\/strong> \u0441\u0432\u044f\u0437\u044b\u0432\u0430\u0435\u0442 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u0438 \u0443\u0433\u043b\u044b \u043b\u044e\u0431\u043e\u0433\u043e \u0442\u0440\u0435\u0443\u0433\u043e\u043b\u044c\u043d\u0438\u043a\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/theoreme-des-sinus-ou-des-sinus.webp\" alt=\"\" class=\"wp-image-281\" width=\"188\" height=\"136\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bc98603a3dca4ccd66aa95e0b9012313_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2=b^2+c^2-2\\cdot b \\cdot c\\cdot \\text{cos }\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"218\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dadb264e4d51fe54c8bab49844451a6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b^2=a^2+c^2-2\\cdot a \\cdot c\\cdot \\text{cos }\\beta\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"220\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-106b89d1c682a376ffe407061c1cf6b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c^2=a^2+b^2-2\\cdot a \\cdot b\\cdot \\text{cos }\\gamma\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"219\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"relaciones-de-la-funcion-coseno-con-otras-razones-trigonometricas\"><\/span> \u0421\u0432\u044f\u0437\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0441 \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u0438 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f\u043c\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0417\u0430\u0442\u0435\u043c \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u043d\u044b\u0435 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f \u0441 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0432\u0430\u0436\u043d\u044b\u043c\u0438 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u0438 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f\u043c\u0438 \u0432 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0438.<\/p>\n<h3 class=\"wp-block-heading\"> \u041e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f \u0441 \u0433\u0440\u0443\u0434\u044c\u044e<\/h3>\n<ul>\n<li> \u0413\u0440\u0430\u0444\u0438\u043a \u0441\u0438\u043d\u0443\u0441\u043e\u0438\u0434\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0443, \u043d\u043e \u0441\u043c\u0435\u0449\u0435\u043d\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-872406b5cba35c728fec57380ddc6571_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{\\pi}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"11\" style=\"vertical-align: -12px;\"><\/p>\n<p> \u0441\u043f\u0440\u0430\u0432\u0430, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0434\u0432\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043c\u043e\u0433\u0443\u0442 \u0431\u044b\u0442\u044c \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435\u043c:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b7c0174ac34e19bd5d5031a57511f3ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }\\alpha = \\text{sen}\\left(\\alpha + \\frac{\\pi}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"159\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u0442\u0435 \u0441\u0432\u044f\u0437\u0430\u0442\u044c \u0441\u0438\u043d\u0443\u0441 \u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0441 \u0444\u0443\u043d\u0434\u0430\u043c\u0435\u043d\u0442\u0430\u043b\u044c\u043d\u044b\u043c \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e\u043c:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-205d778d5fa04e4bd4a8543489c6f2f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}^2\\alpha + \\text{cos}^2\\alpha=1\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"140\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043a \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439<\/h3>\n<ul>\n<li> \u0425\u043e\u0442\u044f \u044d\u0442\u043e \u0441\u043b\u043e\u0436\u043d\u043e \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0440\u0430\u0437\u0438\u0442\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0435\u0440\u0435\u0437 \u0442\u0430\u043d\u0433\u0435\u043d\u0441:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5f02ab2f30c72a36534ca72504b3f3bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }\\alpha = \\pm \\cfrac{1}{\\sqrt{1+\\text{tg}^2\\alpha \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"164\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \u041e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f \u0441 \u0441\u0435\u043a\u0430\u043d\u0441\u043e\u043c<\/h3>\n<ul>\n<li> \u041a\u043e\u0441\u0438\u043d\u0443\u0441 \u0438 \u0441\u0435\u043a\u0430\u043d\u0441 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043c\u0443\u043b\u044c\u0442\u0438\u043f\u043b\u0438\u043a\u0430\u0442\u0438\u0432\u043d\u044b\u043c\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u043c\u0438 \u0447\u0438\u0441\u043b\u0430\u043c\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d594068747a2bdf9e3825973cb563161_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }\\alpha =  \\cfrac{1}{\\text{sec }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"108\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \u0421\u0432\u044f\u0437\u044c \u0441 \u043a\u043e\u0441\u0435\u043a\u0430\u043d\u0441\u043e\u043c<\/h3>\n<ul>\n<li> \u041a\u043e\u0441\u0438\u043d\u0443\u0441 \u043c\u043e\u0436\u043d\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u043e\u043d \u0437\u0430\u0432\u0438\u0441\u0435\u043b \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0442 \u043a\u043e\u0441\u0435\u043a\u0430\u043d\u0441\u0430:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5440750856c43de3a6c242335ff44a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }\\alpha =\\pm \\cfrac{\\sqrt{\\text{csc}^2\\alpha -1 } }{\\text{csc }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"168\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \u0421\u0432\u044f\u0437\u044c \u0441 \u043a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441\u043e\u043c<\/h3>\n<ul>\n<li> \u041a\u043e\u0441\u0438\u043d\u0443\u0441 \u0438 \u043a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u0443\u0433\u043b\u0430 \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f0646b8d7d5ee36eac5b6b1889022851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }\\alpha =\\pm \\cfrac{\\text{cot }\\alpha}{\\sqrt{1+\\text{cot}^2\\alpha \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"172\" style=\"vertical-align: -30px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0432\u0441\u0435 \u043e \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441: \u0447\u0442\u043e \u044d\u0442\u043e \u0442\u0430\u043a\u043e\u0435, \u043a\u0430\u043a\u043e\u0432\u0430 \u0435\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u043a\u0430\u043a \u0435\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0430\u043c\u043f\u043b\u0438\u0442\u0443\u0434\u0430, \u043f\u0435\u0440\u0438\u043e\u0434 \u0438 \u0442.\u0434. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u043f\u043e\u043d\u044f\u0442\u044c \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u044e. \u041e\u043d \u0434\u0430\u0436\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442 \u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0438 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0438\u043c\u0435\u0435\u0442 \u0441 \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c\u0438 \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f\u043c\u0438. \u0444\u043e\u0440\u043c\u0443\u043b\u0430 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f-%d0%ba%d0%be%d1%81%d0%b8%d0%bd%d1%83%d1%81%d0%b0\/\"> <span class=\"screen-reader-text\">\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/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":[17],"tags":[],"class_list":["post-362","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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