{"id":363,"date":"2023-07-04T16:06:25","date_gmt":"2023-07-04T16:06:25","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%ba%d0%b0%d1%81%d0%b0%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f\/"},"modified":"2023-07-04T16:06:25","modified_gmt":"2023-07-04T16:06:25","slug":"%d0%ba%d0%b0%d1%81%d0%b0%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%ba%d0%b0%d1%81%d0%b0%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f\/","title":{"rendered":"\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439"},"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 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430: \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, \u0435\u0435 \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 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439, \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 \u043e \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0438 \u0441\u0432\u044f\u0437\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0438\u043c\u0435\u0435\u0442 \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \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 \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f\u043c\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-funcion-tangente\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <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\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/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\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u043e\u0439 \u0432\u0435\u0442\u0432\u0438 \u043a \u0441\u043c\u0435\u0436\u043d\u043e\u0439 (\u0438\u043b\u0438 \u0441\u043c\u0435\u0436\u043d\u043e\u0439) \u0432\u0435\u0442\u0432\u0438 \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-153\">\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\/formule-de-la-fonction-tangente.webp\" alt=\"\u041a\u0430\u043a\u043e\u0432\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430?\" class=\"wp-image-299\" width=\"291\" height=\"71\" 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=\"\u0442\u0430\u043d\u0433\u0435\u043d\u0441 - \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\" 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 \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0442\u0430\u043d\u0433\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439, \u0442\u0430\u043d\u0433\u0435\u043d\u043e\u0438\u0434\u043d\u043e\u0439 \u0438\u043b\u0438 \u0442\u0430\u043d\u0433\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439. \u0418 \u044d\u0442\u043e \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0440\u0430\u0437\u0438\u0442\u044c \u0430\u0431\u0431\u0440\u0435\u0432\u0438\u0430\u0442\u0443\u0440\u043e\u0439 \u00ab\u0442\u0433\u00bb \u0438\u043b\u0438 \u0434\u0430\u0436\u0435 \u00ab\u0442\u0430\u043d\u00bb.<\/p>\n<p> \u0424\u0443\u043d\u043a\u0446\u0438\u044f \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430 \u2014 \u043e\u0434\u043d\u043e \u0438\u0437 \u0442\u0440\u0451\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 \u043a\u043e\u0441\u0438\u043d\u0443\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-tangente\"><\/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 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u0435 \u0443\u0433\u043b\u044b, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0447\u0430\u0441\u0442\u043e \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u044e\u0442\u0441\u044f, \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 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0442\u0430\u043d\u0433\u0435\u043d\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-tangente.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 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430\" class=\"wp-image-300\" width=\"740\" height=\"195\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430 \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u0441\u0432\u044f\u0437\u0430\u043d\u0430 \u0441 \u0444\u0443\u043d\u043a\u0446\u0438\u044f\u043c\u0438 \u0441\u0438\u043d\u0443\u0441\u0430 \u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \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:<\/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-97ecd1e5d04b9e0aa9aab914a5ef9fe4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tg } \\alpha = \\cfrac{\\text{sen }\\alpha}{\\text{cos }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"102\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0437\u043d\u0430\u043a \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\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:<\/p>\n<ul>\n<li> \u0415\u0441\u043b\u0438 \u0443\u0433\u043e\u043b \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0438\u0442 \u043f\u0435\u0440\u0432\u043e\u0439 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u0438, \u0442\u043e \u0435\u0435 \u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u0431\u0443\u0434\u0435\u0442 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c, \u0442\u0430\u043a \u043a\u0430\u043a \u0432 \u044d\u0442\u043e\u0439 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u0438 \u0441\u0438\u043d\u0443\u0441 \u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0442\u0430\u043a\u0436\u0435 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b.<\/li>\n<li> \u0415\u0441\u043b\u0438 \u0443\u0433\u043e\u043b \u043f\u043e\u043f\u0430\u0434\u0430\u0435\u0442 \u0432\u043e \u0432\u0442\u043e\u0440\u0443\u044e \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044c, \u0442\u043e \u0435\u0435 \u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u0431\u0443\u0434\u0435\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432 \u044d\u0442\u043e\u0439 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u0438 \u0441\u0438\u043d\u0443\u0441 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u043d, \u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u0435\u043d.<\/li>\n<li> \u0415\u0441\u043b\u0438 \u0443\u0433\u043e\u043b \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u0442\u0440\u0435\u0442\u044c\u0435\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u043d\u0442\u0435, \u0435\u0433\u043e \u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u0431\u0443\u0434\u0435\u0442 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432 \u044d\u0442\u043e\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u043d\u0442\u0435 \u0441\u0438\u043d\u0443\u0441 \u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b.<\/li>\n<li> \u0415\u0441\u043b\u0438 \u0443\u0433\u043e\u043b \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u043d\u0442\u0435, \u0435\u0433\u043e \u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u0431\u0443\u0434\u0435\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c, \u0442\u0430\u043a \u043a\u0430\u043a \u0432 \u044d\u0442\u043e\u043c \u043a\u0432\u0430\u0434\u0440\u0430\u043d\u0442\u0435 \u0441\u0438\u043d\u0443\u0441 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u0435\u043d, \u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u043d. <\/li>\n<\/ul>\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-signe-de-la-tangente.webp\" alt=\"\u0437\u043d\u0430\u043a \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\" class=\"wp-image-301\" width=\"305\" height=\"295\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-de-la-funcion-tangente\"><\/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 \u0442\u0430\u043d\u0433\u0435\u043d\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 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430. \u041f\u043e\u0441\u0442\u0440\u043e\u0438\u0432 \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430, \u043c\u044b \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\/representation-graphique-fonction-tangente.webp\" alt=\"\u0433\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 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430\" class=\"wp-image-298\" width=\"779\" height=\"451\" 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 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430 \u043d\u0435 \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u044b, \u0432 \u043e\u0442\u043b\u0438\u0447\u0438\u0435 \u043e\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0441\u0438\u043d\u0443\u0441\u0430 \u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430. \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 180 \u0433\u0440\u0430\u0434\u0443\u0441\u043e\u0432 (\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 180\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 \u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f <strong>\u043d\u0435\u0447\u0435\u0442\u043d\u0430<\/strong> , \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 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0435 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u044f, \u0438\u043b\u0438, \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u043e\u043d\u0430 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 (0,0). \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0442\u0430\u043d\u0433\u0435\u043d\u0441 45\u00b0 \u0440\u0430\u0432\u0435\u043d 1, \u0430 \u0442\u0430\u043d\u0433\u0435\u043d\u0441 -45\u00b0 \u0440\u0430\u0432\u0435\u043d -1.<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u043c \u0432\u0438\u0434\u0435\u0442\u044c, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430 \u0438\u043c\u0435\u0435\u0442 <strong>\u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u044b\u0435 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b<\/strong> . \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043e\u043d \u043f\u043e\u0434\u0445\u043e\u0434\u0438\u0442 \u043e\u0447\u0435\u043d\u044c \u0431\u043b\u0438\u0437\u043a\u043e \u043a \u043b\u0438\u043d\u0438\u0438 x=90\u00ba, \u043d\u043e \u043d\u0438\u043a\u043e\u0433\u0434\u0430 \u043d\u0435 \u043a\u0430\u0441\u0430\u0435\u0442\u0441\u044f \u0435\u0435, \u0438 \u0442\u043e \u0436\u0435 \u0441\u0430\u043c\u043e\u0435 \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442 \u043a\u0430\u0436\u0434\u044b\u0435 180 \u0433\u0440\u0430\u0434\u0443\u0441\u043e\u0432. \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043f\u0440\u0435\u0434\u0435\u043b \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u044d\u0442\u0438\u0445 \u0442\u043e\u0447\u043a\u0430\u0445 \u0441\u0442\u0440\u0435\u043c\u0438\u0442\u0441\u044f \u043a \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0441\u0442\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-tangente\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \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 \u0442\u0430\u043d\u0433\u0435\u043d\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, \u043a\u0440\u043e\u043c\u0435 \u0442\u043e\u0447\u0435\u043a, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u0430\u044f \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\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-29b8cf7eff7870df6c68bac95de5bdaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Dom } f = \\mathbb{R} - \\left\\{(2k+1)\\cdot \\frac{\\pi}{2} \\right\\} \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"308\" style=\"vertical-align: -12px;\"><\/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-e82581257a3efb00f920674c5318bc85_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Dom } f = \\mathbb{R} - \\left\\{\\ldots \\ , \\ -\\frac{\\pi}{2} \\ , \\ \\frac{\\pi}{2} \\ , \\ \\frac{3\\pi}{2} \\ , \\ \\ldots \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"326\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0414\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u0438\u043b\u0438 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430 \u2014 \u044d\u0442\u043e \u0432\u0441\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\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-5a954b5c192478c3b7b14428ac8d5cbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"74\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> \u042d\u0442\u043e \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u0430\u044f \u0438 \u043d\u0435\u0447\u0435\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441 \u043f\u0435\u0440\u0438\u043e\u0434\u0438\u0447\u043d\u043e\u0441\u0442\u044c\u044e \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-4338f2dfc213a0dbac8aba420dd33179_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(-x) =- \\text{tg }x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"123\" 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 y (\u043e\u0441\u044c Y) \u0432 \u0442\u043e\u0447\u043a\u0435 (0,0).<\/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-9cf2000c782cfe94be6df5f499cd3e24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,0)\" 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\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u0445 \u0447\u0438\u0441\u043b\u0430 \u041f\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-eab7b9b3afd7706a5a1aea4aca69413c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (k\\pi ,0) \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"129\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0424\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u0442\u0440\u043e\u0433\u043e \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442 \u0432\u043e \u0432\u0441\u0435\u0439 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u043d\u0438 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430, \u043d\u0438 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430.<\/li>\n<\/ul>\n<ul>\n<li> \u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0442\u0430\u043d\u0433\u0435\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-ad6c6fdefd907c51ac1e7b85e59260e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tg } x \\ \\longrightarrow \\ f'(x)= 1+\\text{tg}^2 x=\\cfrac{1}{\\text{cos}^2 x} =\\text{sec}^2 x\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"398\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b \u043e\u0442 \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0440\u0430\u0432\u0435\u043d: <\/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-8c7736fa3869dbff86797b1ff879cc43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int \\text{tg } x \\ dx= -\\ln \\lvert \\text{cos }x \\rvert + C\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"218\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"periodo-de-la-funcion-tangente\"><\/span> \u041f\u0435\u0440\u0438\u043e\u0434 \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412 \u043e\u0442\u043b\u0438\u0447\u0438\u0435 \u043e\u0442 \u0434\u0440\u0443\u0433\u0438\u0445 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439, \u0442\u0430\u043a\u0438\u0445 \u043a\u0430\u043a \u0441\u0438\u043d\u0443\u0441 \u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u043d\u0438 \u043c\u0430\u043a\u0441\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e, \u043d\u0438 \u043c\u0438\u043d\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f. \u041e\u0434\u043d\u0430\u043a\u043e \u044d\u0442\u043e \u043f\u0435\u0440\u0438\u043e\u0434\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \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, \u043a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u043d\u0430 \u0435\u0435 \u0433\u0440\u0430\u0444\u0438\u043a\u0435.<\/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-e5e2cc1f194f1a7fee12fa1156ad3fa6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\text{tg}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"110\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>\u041f\u0435\u0440\u0438\u043e\u0434<\/strong> \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \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-3018883cc7bcf87eaf5d39ca88d719c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Periodo}=T=\\cfrac{\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"135\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"teorema-de-la-tangente\"><\/span> \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0425\u043e\u0442\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \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, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c\u0430\u044f \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 \u043e \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439.<\/p>\n<p> <strong>\u0422\u0435\u043e\u0440\u0435\u043c\u0430 \u043e \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439<\/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-261e505be252193e417e40524dc7fec7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{a+b}{a-b} = \\cfrac{ \\text{tg}\\left(\\frac{\\alpha+\\beta}{2}\\right)}{\\text{tg}\\left(\\frac{\\alpha-\\beta}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"136\" style=\"vertical-align: -30px;\"><\/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-3e330dd1d596b748ac4f24b84a0a41e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{a+c}{a-c} = \\cfrac{ \\text{tg}\\left(\\frac{\\alpha+\\gamma \\vphantom{\\beta}}{2}\\right)}{\\text{tg}\\left(\\frac{\\alpha-\\gamma\\vphantom{\\beta}}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"136\" style=\"vertical-align: -30px;\"><\/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-267dc10c3b0e77cd0d01c8f1194c48e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{b+c}{b-c} = \\cfrac{ \\text{tg}\\left(\\frac{\\beta+\\gamma}{2}\\right)}{\\text{tg}\\left(\\frac{\\beta-\\gamma}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"133\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"relaciones-de-la-funcion-tangente-con-otras-razones-trigonometricas\"><\/span> \u0421\u0432\u044f\u0437\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0442\u0430\u043d\u0433\u0435\u043d\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> \u041d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u044b \u0441\u0432\u044f\u0437\u0438 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430 \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 \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f\u043c\u0438 \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> \u0422\u0430\u043d\u0433\u0435\u043d\u0441 \u0438 \u0441\u0438\u043d\u0443\u0441 \u0443\u0433\u043b\u0430 \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\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-7a86df77c498819d8ea98595aeae1e78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{\\text{sen }\\alpha }{\\sqrt{1-\\text{sen}^2\\alpha \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"165\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \u041a\u043e\u0441\u0438\u043d\u0443\u0441\u043d\u043e\u0435 \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435<\/h3>\n<ul>\n<li> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u0438 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0443\u0433\u043b\u0430 \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0440\u0430\u0432\u0435\u043d\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-4cd911a6fe6c9f7a24fc1da0f14253cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{\\sqrt{1-\\text{cos}^2\\alpha \\vphantom{\\bigl( }} }{\\text{cos }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"51\" width=\"164\" 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> \u0425\u043e\u0442\u044f \u044d\u0442\u043e \u0438 \u0442\u0440\u0443\u0434\u043d\u043e \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u0442\u0430\u043d\u0433\u0435\u043d\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-1d5565a2114d02ca91e1f40c48a768e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{1}{\\sqrt{\\text{csc}^2\\alpha -1 \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"163\" 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> \u0422\u0430\u043d\u0433\u0435\u043d\u0441 \u0438 \u0441\u0435\u043a\u0430\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-da24bf5121188e8b3822a780b7ceeda4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha =  \\pm\\sqrt{\\text{sec}^2\\alpha -1\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"161\" style=\"vertical-align: -4px;\"><\/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> \u0422\u0430\u043d\u0433\u0435\u043d\u0441 \u0438 \u043a\u043e\u0442\u0430\u043d\u0433\u0435\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-19dad2de61693ec3497a367b9ca36871_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha =\\pm \\cfrac{1}{\\text{cot }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"113\" style=\"vertical-align: -12px;\"><\/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 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430: \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, \u0435\u0435 \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 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439, \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 \u043e \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0438 \u0441\u0432\u044f\u0437\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0438\u043c\u0435\u0435\u0442 \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \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 \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f\u043c\u0438. \u0424\u043e\u0440\u043c\u0443\u043b\u0430 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%ba%d0%b0%d1%81%d0%b0%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f\/\"> <span class=\"screen-reader-text\">\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u043a\u0430\u0441\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439<\/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-363","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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