{"id":5412,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/arccos\/"},"modified":"2021-02-26T09:49:34","modified_gmt":"2021-02-26T09:49:34","slug":"acos","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/acos\/","title":{"rendered":"ARCCOS"},"content":{"rendered":"

Funkce ACOS, zn\u00e1m\u00e1 tak\u00e9 jako ARCCOS, je kl\u00ed\u010dov\u00fdm n\u00e1strojem v Excelu a Google Sheets pro v\u00fdpo\u010det aritmetick\u00e9ho kosinu \u010d\u00edsla, co\u017e p\u0159edstavuje \u00fahel v radi\u00e1nech, jeho\u017e kosinus odpov\u00edd\u00e1 zadan\u00e9 hodnot\u011b. \u00dahel spad\u00e1 do intervalu od 0 do \u03c0. Tato funkce je neoceniteln\u00e1 v oblastech jako v\u011bda, in\u017een\u00fdrstv\u00ed a dal\u0161\u00ed discipl\u00edny, kde jsou trigonometrick\u00e9 funkce b\u011b\u017en\u011b pou\u017e\u00edv\u00e1ny.<\/p>\n

Syntaxe a pou\u017eit\u00ed<\/h2>\n

Syntaxe funkce ACOS v Excelu a Google Sheets je jednoduch\u00e1:<\/p>\n

=ACOS(\u010d\u00edslo)<\/code><\/pre>\n
Kde \u010d\u00edslo<\/code> p\u0159edstavuje kosinus \u00fahlu, pro kter\u00fd m\u00e1 b\u00fdt vypo\u010d\u00edt\u00e1n jeho arkuskosinus. Toto \u010d\u00edslo mus\u00ed b\u00fdt v rozmez\u00ed od -1 do 1, v opa\u010dn\u00e9m p\u0159\u00edpad\u011b funkce generuje chybu.<\/p>\n
Uk\u00e1zky pou\u017eit\u00ed:<\/p>\n
    \n
  • =ACOS(1)<\/code> – v\u00fdsledek je 0, co\u017e odpov\u00edd\u00e1 arkuskosinu \u010d\u00edsla 1.<\/li>\n
  • =ACOS(0)<\/code> – v\u00fdsledek je p\u0159ibli\u017en\u011b 1.5708 (\u03c0\/2), co\u017e je arkuskosinus \u010d\u00edsla 0.<\/li>\n
  • =ACOS(-1)<\/code> – v\u00fdsledek je p\u0159ibli\u017en\u011b 3.14159 (\u03c0), co\u017e je arkuskosinus \u010d\u00edsla -1.<\/li>\n<\/ul>\n
    P\u0159\u00edklady pou\u017eit\u00ed ve v\u00fdpo\u010dtech<\/h2>\n
    P\u0159\u00edklad 1: N\u00e1vrh kruhov\u00e9 dr\u00e1hy<\/b><\/p>\n
    P\u0159i n\u00e1vrhu kruhov\u00e9 dr\u00e1hy pro z\u00e1vodn\u00ed auta m\u016f\u017ee b\u00fdt pot\u0159eba ur\u010dit \u00fahel n\u00e1klonu vozidla pro optim\u00e1ln\u00ed zat\u00e1\u010den\u00ed bez skluzu. Funkce ACOS umo\u017e\u0148uje vypo\u010d\u00edtat tento \u00fahel z kosinu, kter\u00fd lze odvodit z rychlosti vozidla a polom\u011bru k\u0159ivky v\u00fdrazem:<\/p>\n
    =ACOS(kosinus_\u00fahlu)<\/code><\/pre>\n
    Kde kosinus_\u00fahlu<\/code> m\u016f\u017ee b\u00fdt nap\u0159\u00edklad spo\u010d\u00edt\u00e1n jako =(v^2\/(g*r))<\/code>, kde v je rychlost vozidla, g t\u00edhov\u00e9 zrychlen\u00ed a r polom\u011br k\u0159ivky.<\/p>\n
    P\u0159\u00edklad 2: Anal\u00fdza vektorov\u00e9 orientace<\/b><\/p>\n
    P\u0159edpokl\u00e1dejme, \u017ee m\u00e1te koordin\u00e1ty dvou body a pot\u0159ebujete ur\u010dit \u00fahel mezi t\u011bmito body a osou X. To lze \u0159e\u0161it pomoc\u00ed funkce ACOS. Nejprve spo\u010dt\u011bte kosinus \u00fahlu pomoc\u00ed skal\u00e1rn\u00edho sou\u010dinu a norm obou vektor\u016f:<\/p>\n
    =ACOS((x1*x2 + y1*y2) \/ (SQRT(x1^2 + y1^2) * SQRT(x2^2 + y2^2)))<\/code><\/pre>\n
    kde x1, y1<\/code> jsou koordin\u00e1ty prvn\u00edho vektoru a x2, y2<\/code> koordin\u00e1ty druh\u00e9ho vektoru.<\/p>\n
    Z\u00e1v\u011br<\/h2>\n
    Funkce ACOS je nenahraditeln\u00e1 pro aplikace vy\u017eaduj\u00edc\u00ed p\u0159evod kosinov\u00fdch hodnot na \u00fahly, co\u017e je b\u011b\u017en\u00e9 v r\u016fzn\u00fdch technick\u00fdch a v\u011bdeck\u00fdch oborech. D\u00edky sv\u00e9 schopnosti efektivn\u011b zpracov\u00e1vat \u010d\u00edseln\u00e9 rozsahy od -1 do 1 a vr\u00e1cen\u00ed \u00fahlu v radi\u00e1nech, je ACOS d\u016fle\u017eit\u00fdm n\u00e1strojem pro ka\u017ed\u00e9ho, kdo se zab\u00fdv\u00e1 trigonometri\u00ed a anal\u00fdzou \u00fahl\u016f.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Vr\u00e1t\u00ed arkuskosinus \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-5412","post","type-post","status-publish","format-standard","hentry","category-matematicke-a-trigonometricke"],"acf":[],"yoast_head":"\nFunkce ACOS (ARCCOS) v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije ACOS (ARCCOS) u Excelu i Google tablicama. 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