{"id":5489,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/coth\/"},"modified":"2021-02-26T09:52:16","modified_gmt":"2021-02-26T09:52:16","slug":"coth","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/coth\/","title":{"rendered":"COTH"},"content":{"rendered":"<p>Funkce COTH je jednou z hyperbolick\u00fdch funkc\u00ed dostupn\u00fdch v tabulkov\u00fdch aplikac\u00edch jako MS Excel a Google Sheets. Tato funkce v\u00e1m umo\u017en\u00ed vypo\u010d\u00edtat hyperbolick\u00fd kotangens zadan\u00e9ho \u010d\u00edsla, co\u017e je velice u\u017eite\u010dn\u00e9 pro \u0159adu matematick\u00fdch a in\u017een\u00fdrsk\u00fdch v\u00fdpo\u010dt\u016f. V n\u00e1sleduj\u00edc\u00edm textu se podrobn\u011b pod\u00edv\u00e1me na jej\u00ed pou\u017eit\u00ed pomoc\u00ed praktick\u00fdch p\u0159\u00edklad\u016f.<\/p>\n<h2>Popis a syntaxe<\/h2>\n<p>Syntaxe funkce COTH je v obou aplikac\u00edch podobn\u00e1 a vypad\u00e1 n\u00e1sledovn\u011b:<\/p>\n<pre><code>=COTH(\u010d\u00edslo)<\/code><\/pre>\n<ul>\n<li><b>\u010d\u00edslo<\/b> &#8211; hodnota nebo odkaz na bu\u0148ku, kter\u00e1 obsahuje \u010d\u00edslo, pro kter\u00e9 chcete vypo\u010d\u00edtat hyperbolick\u00fd kotangens.<\/li>\n<\/ul>\n<p>Je d\u016fle\u017eit\u00e9 poznamenat, \u017ee vstupn\u00ed hodnota pro funkci COTH nesm\u00ed b\u00fdt nula, jeliko\u017e hyperbolick\u00fd kotangens nuly je nedefinovan\u00fd a zp\u016fsob\u00ed chybu ve v\u00fdpo\u010dtu.<\/p>\n<h2>P\u0159\u00edklady vyu\u017eit\u00ed<\/h2>\n<h3>1. P\u0159\u00edklad &#8211; V\u00fdpo\u010det \u00fahlu sv\u00edraj\u00edc\u00edho hyperbolu<\/h3>\n<p>P\u0159edstavme si, \u017ee pot\u0159ebujeme spo\u010d\u00edtat \u00fahlovou veli\u010dinu v hyperbolick\u00fdch sou\u0159adnic\u00edch pou\u017e\u00edvanou v elektrick\u00e9m in\u017een\u00fdrstv\u00ed k ur\u010den\u00ed f\u00e1zov\u00fdch posuv\u016f.<\/p>\n<pre><code>=COTH(1.5) <!-- P\u0159\u00edklad pou\u017eit\u00ed funkce --> <\/code><\/pre>\n<p>V tomto p\u0159\u00edpad\u011b funkce COTH pou\u017eijeme k z\u00edsk\u00e1n\u00ed hyperbolick\u00e9ho kotangensu hodnoty 1.5. V\u00fdsledek m\u016f\u017ee ovlivnit dal\u0161\u00ed v\u00fdpo\u010dty f\u00e1zov\u00fdch posuv\u016f \u010di jin\u00fdch parametr\u016f v elektrotechnice.<\/p>\n<h3>2. P\u0159\u00edklad &#8211; V\u00fdpo\u010det tepeln\u00e9 kapacity<\/h3>\n<p>Hyperbolick\u00fd kotangens m\u016f\u017ee hr\u00e1t roli i v termodynamice, nap\u0159\u00edklad p\u0159i modelov\u00e1n\u00ed zm\u011bn tepeln\u00e9 kapacity v z\u00e1vislosti na teplot\u011b.<\/p>\n<pre><code>=COTH(B2) <!-- B2 obsahuje teplotu v Kelvin --> <\/code><\/pre>\n<p>Je-li v bu\u0148ce B2 zadan\u00e1 teplotn\u00ed hodnota, funkce COTH umo\u017en\u00ed vypo\u010d\u00edtat tepelnou kapacitu na z\u00e1klad\u011b empirick\u00e9ho vzorce. V\u00fdsledek tohoto v\u00fdpo\u010dtu je pot\u00e9 mo\u017en\u00e9 pou\u017e\u00edt k odhadu fin\u00e1ln\u00ed tepeln\u00e9 kapacity materi\u00e1lu.<\/p>\n<p>Tyto p\u0159\u00edklady ukazuj\u00ed, jak m\u016f\u017ee b\u00fdt funkce COTH vyu\u017eita v technick\u00fdch a v\u011bdeck\u00fdch aplikac\u00edch, p\u0159i\u010dem\u017e mo\u017enosti jej\u00edho vyu\u017eit\u00ed jsou rozmanit\u00e9 a z\u00e1vis\u00ed na konkr\u00e9tn\u00edm odv\u011btv\u00ed a typu \u00falohy.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vr\u00e1t\u00ed kotangens \u00fahlu<\/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-5489","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 COTH v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije COTH u Excelu i Google tablicama. 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