{"id":5833,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/tg\/"},"modified":"2021-02-26T10:04:21","modified_gmt":"2021-02-26T10:04:21","slug":"tan","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/tan\/","title":{"rendered":"TG"},"content":{"rendered":"<h2>\u00davod do funkce tangens<\/h2>\n<p>Funkce tangens, zn\u00e1m\u00e1 v Excel a Google Sheets jako <code>TAN<\/code>, je matematick\u00e1 funkce pou\u017e\u00edvan\u00e1 pro v\u00fdpo\u010det tangensu zadan\u00e9ho \u00fahlu. \u00dahel je obvykle zad\u00e1v\u00e1n ve stupn\u00edch, ale pro pou\u017eit\u00ed v t\u011bchto aplikac\u00edch je nutn\u00e9 jej p\u0159ev\u00e9st na radi\u00e1ny pomoc\u00ed funkce <code>RADIANS<\/code> v Excelu nebo obdobn\u00fdm zp\u016fsobem v Google Sheets.<\/p>\n<h2>Syntaxe funkce<\/h2>\n<p>Syntaxe funkce tangens v Excelu i Google Sheets je jednoduch\u00e1:<\/p>\n<pre><code>=TAN(\u00fahel)<\/code><\/pre>\n<p>Kde <code>\u00fahel<\/code> je hodnota \u00fahlu ve stupn\u00edch, kterou chcete p\u0159ev\u00e9st na tangens. Je d\u016fle\u017eit\u00e9 si uv\u011bdomit, \u017ee ob\u011b aplikace vy\u017eaduj\u00ed \u00fahel v radi\u00e1nech, tak\u017ee p\u0159evod pomoc\u00ed funkce <code>RADIANS<\/code> je \u010dasto nezbytn\u00fd.<\/p>\n<h2>Praktick\u00e9 p\u0159\u00edklady pou\u017eit\u00ed<\/h2>\n<p>Funkce tangens m\u016f\u017ee b\u00fdt prakticky vyu\u017eita nap\u0159\u00edklad v n\u00e1sleduj\u00edc\u00edch p\u0159\u00edpadech:<\/p>\n<ul>\n<li>K v\u00fdpo\u010dtu v\u00fd\u0161ky objektu na z\u00e1klad\u011b jeho st\u00ednu a \u00fahlu slune\u010dn\u00edch paprsk\u016f.<\/li>\n<li>Pro anal\u00fdzu trigonometrick\u00fdch graf\u016f a technick\u00fdch v\u00fdpo\u010dt\u016f.<\/li>\n<\/ul>\n<h2>Praktick\u00fd p\u0159\u00edklad 1: V\u00fdpo\u010det v\u00fd\u0161ky objektu<\/h2>\n<p>P\u0159edstavte si, \u017ee chcete vypo\u010d\u00edtat v\u00fd\u0161ku stromu, ale m\u016f\u017eete m\u011b\u0159it pouze d\u00e9lku jeho st\u00ednu a \u00fahel slune\u010dn\u00edch paprsk\u016f. Pro st\u00edn dlouh\u00fd 5 metr\u016f a \u00fahel 45 stup\u0148\u016f by v\u00fdpo\u010det v\u00fd\u0161ky stromu vypadal takto:<\/p>\n<pre><code>\u00dahel ve stupn\u00edch = 45 \u00dahel v radi\u00e1nech = RADIANS(45) \/\/ Excel V\u00fd\u0161ka stromu = St\u00edn * TAN(\u00dahel v radi\u00e1nech)<\/code><\/pre>\n<pre><code>= 5 * TAN(RADIANS(45)) \/\/ V\u00fdsledn\u00fd vzorec v Excelu<\/code><\/pre>\n<p>Tento vzorec by vr\u00e1til v\u00fd\u0161ku stromu jako p\u0159ibli\u017en\u011b 5 metr\u016f, proto\u017ee TAN(\u03c0\/4) = 1.<\/p>\n<h2>Praktick\u00fd p\u0159\u00edklad 2: Anal\u00fdza kmito\u010dt\u016f v technice<\/h2>\n<p>Ve stavebn\u00edm in\u017een\u00fdrstv\u00ed lze funkci tangens vyu\u017e\u00edt k anal\u00fdze rezonan\u010dn\u00edch frekvenc\u00ed ve struktur\u00e1ln\u00edch syst\u00e9mech. \u00dahel oscilace m\u016f\u017ee reprezentovat \u00fahel, a pom\u011br stran dynamick\u00e9ho modelu m\u016f\u017ee b\u00fdt vyj\u00e1d\u0159en pomoc\u00ed tangensu tohoto \u00fahlu.<\/p>\n<pre><code>\u00dahel v radi\u00e1nech = RADIANS(60) Pom\u011br ve struktu\u0159e = TAN(\u00dahel v radi\u00e1nech)<\/code><\/pre>\n<pre><code>= TAN(RADIANS(60)) \/\/ V Excelu nebo Google Sheets<\/code><\/pre>\n<p>Hodnota z\u00edskan\u00e1 t\u00edmto v\u00fdpo\u010dtem m\u016f\u017ee b\u00fdt n\u00e1sledn\u011b pou\u017eita pro dal\u0161\u00ed anal\u00fdzy v oblasti konstruk\u010dn\u00ed dynamiky.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vr\u00e1t\u00ed tangens \u010d\u00edsla<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[282],"tags":[],"class_list":["post-5833","post","type-post","status-publish","format-standard","hentry","category-matematicke-a-trigonometricke"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funkce TAN (TG) v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije TAN (TG) u Excelu i Google tablicama. 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