{"id":5427,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/arctg\/"},"modified":"2021-02-26T09:49:59","modified_gmt":"2021-02-26T09:49:59","slug":"atan","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/atan\/","title":{"rendered":"ARCTG"},"content":{"rendered":"

Funkce ATAN, zn\u00e1m\u00e1 t\u00e9\u017e jako ARCTG, je matematick\u00e1 funkce dostupn\u00e1 v Excelu a Google Sheets, kter\u00e1 vypo\u010d\u00edt\u00e1v\u00e1 arkustangens zadan\u00e9ho \u010d\u00edsla. Arkustangens je inverzn\u00ed funkce k tangensu a jeho vyu\u017eit\u00ed je kl\u00ed\u010dov\u00e9 v oblasti trigonometrie, nap\u0159\u00edklad pro ur\u010den\u00ed \u00fahl\u016f v pravo\u00fahl\u00fdch troj\u00faheln\u00edc\u00edch.<\/p>\n

Syntaxe a p\u0159\u00edklady pou\u017eit\u00ed<\/h2>\n

Syntaxe funkce ATAN je n\u00e1sleduj\u00edc\u00ed:<\/p>\n

=ATAN(\u010d\u00edslo)<\/code><\/pre>\n
Tady \u010d\u00edslo<\/code> p\u0159edstavuje hodnotu tangensu \u00fahlu, jeho\u017e velikost v radi\u00e1nech chceme z\u00edskat. V\u00fdsledkem je \u00fahel v radi\u00e1nech, kter\u00fd se pohybuje v rozmez\u00ed od -\u03c0\/2 do \u03c0\/2.<\/p>\n
    \n
  • Pro v\u00fdpo\u010det arkustangensu 1:\n
    =ATAN(1)<\/code><\/pre>\n
     V\u00fdsledek bude p\u0159ibli\u017en\u011b 0.785, co\u017e odpov\u00edd\u00e1 \u03c0\/4 nebo 45\u00b0.<\/li>\n
  • Pro v\u00fdpo\u010det arkustangensu -1:\n
    =ATAN(-1)<\/code><\/pre>\n
     V\u00fdsledek bude p\u0159ibli\u017en\u011b -0.785, co\u017e odpov\u00edd\u00e1 -\u03c0\/4 nebo -45\u00b0.<\/li>\n<\/ul>\n
    Tato funkce je ve velk\u00e9 m\u00ed\u0159e vyu\u017e\u00edvan\u00e1 pro p\u0159evod tangensu \u00fahlu zp\u011bt na \u00fahel, co\u017e je velmi u\u017eite\u010dn\u00e9 nap\u0159\u00edklad v in\u017een\u00fdrstv\u00ed a po\u010d\u00edta\u010dov\u00e9 grafice.<\/p>\n
    U\u017eite\u010dn\u00e9 sc\u00e9n\u00e1\u0159e pou\u017eit\u00ed<\/h2>\n
    Ur\u010den\u00ed \u00fahlu ve v\u011bdeck\u00fdch aplikac\u00edch<\/h2>\n
    P\u0159edstavte si, \u017ee ve v\u011bdeck\u00e9m experimentu pot\u0159ebujeme ur\u010dit \u00fahel sv\u011btla odra\u017een\u00e9ho od hladiny vody a zn\u00e1me tangens tohoto \u00fahlu. Pou\u017eijeme ATAN pro jeho v\u00fdpo\u010det:<\/p>\n
    =ATAN(0.5)<\/code><\/pre>\n
    Tento v\u00fdpo\u010det vr\u00e1t\u00ed \u00fahel v radi\u00e1nech, p\u0159ibli\u017en\u011b 0.464 rad. Chceme-li tento \u00fahel p\u0159ev\u00e9st na stupn\u011b, pou\u017eijeme funkci DEGREES:<\/p>\n
    =DEGREES(ATAN(0.5))<\/code><\/pre>\n
    T\u00edm z\u00edsk\u00e1me hodnotu p\u0159ibli\u017en\u011b 26.57\u00b0, tedy \u00fahel sv\u011btla odr\u00e1\u017een\u00e9ho od hladiny vody.<\/p>\n
    Pou\u017eit\u00ed p\u0159i m\u011b\u0159en\u00ed sklonu ter\u00e9nu<\/h2>\n
    P\u0159i ur\u010dov\u00e1n\u00ed sklonu ter\u00e9nu, nap\u0159\u00edklad v geodezii nebo stavebnictv\u00ed, m\u016f\u017ee b\u00fdt u\u017eite\u010dn\u00e9 p\u0159ev\u00e9st tangens sklonu na \u00fahel ve stupn\u00edch. P\u0159edpokl\u00e1dejme, \u017ee tangens sklonu je 1.3:<\/p>\n
    =DEGREES(ATAN(1.3))<\/code><\/pre>\n
    Tento v\u00fdpo\u010det odpov\u00edd\u00e1 p\u0159ibli\u017en\u011b 52.43\u00b0, co\u017e je \u00fahel sklonu.<\/p>\n
    Jak ukazuj\u00ed tyto p\u0159\u00edklady, funkce ATAN je velmi praktick\u00fdm n\u00e1strojem pro r\u016fzn\u00e9 aplikace, kdy je pot\u0159eba tangens \u00fahlu p\u0159ev\u00e9st na \u00fahly v radi\u00e1nech \u010di stupn\u00edch.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Vr\u00e1t\u00ed arkustangens \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-5427","post","type-post","status-publish","format-standard","hentry","category-matematicke-a-trigonometricke"],"acf":[],"yoast_head":"\nFunkce ATAN (ARCTG) v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije ATAN (ARCTG) u Excelu i Google tablicama. 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