{"id":5429,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/arctgh\/"},"modified":"2021-02-26T09:50:06","modified_gmt":"2021-02-26T09:50:06","slug":"atanh","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/atanh\/","title":{"rendered":"ARCTGH"},"content":{"rendered":"

Co je to hyperbolick\u00fd arkus tangens a jeho pou\u017eit\u00ed<\/h2>\n

Funkce ATANH, zn\u00e1m\u00e1 tak\u00e9 jako ARCTGH nebo hyperbolick\u00fd arkus tangens, je matematick\u00e1 funkce dostupn\u00e1 jak v Microsoft Excel, tak v Google Sheets. Tato funkce vrac\u00ed inverzn\u00ed hodnotu hyperbolick\u00e9ho tangensu zadan\u00e9ho \u010d\u00edsla. Hyperbolick\u00e9 funkce najdou uplatn\u011bn\u00ed v geometrick\u00fdch a fyzik\u00e1ln\u00edch aplikac\u00edch, nap\u0159\u00edklad p\u0159i v\u00fdpo\u010dtech v oblastech architektury a stroj\u00edrenstv\u00ed. ATANH je jedna z nich a m\u016f\u017ee b\u00fdt u\u017eite\u010dn\u00e1 ve specifick\u00fdch anal\u00fdz\u00e1ch, kde se operuje s hyperbolick\u00fdmi funkcemi.<\/p>\n

Podrobn\u00fd popis syntaxe<\/h2>\n

Syntax funkce ATANH v Excelu a Google Sheets je velmi jednoduch\u00e1:<\/p>\n

 ATANH(number)<\/code> <\/pre>\n
    \n
  • number<\/strong> – \u010c\u00edslo, pro kter\u00e9 chcete vypo\u010d\u00edtat hyperbolick\u00fd arkus tangens. Toto \u010d\u00edslo mus\u00ed b\u00fdt v rozmez\u00ed -1 a\u017e 1, bez zahrnut\u00ed t\u011bchto koncov\u00fdch bod\u016f.<\/li>\n<\/ul>\n
    P\u0159\u00edklad:<\/strong> Chcete-li vypo\u010d\u00edtat ATANH pro hodnotu 0.5, zadejte:<\/p>\n
     =ATANH(0.5)<\/code> <\/pre>\n
    V\u00fdsledkem bude p\u0159ibli\u017en\u011b 0.5493.<\/p>\n
    Praktick\u00e9 p\u0159\u00edklady pou\u017eit\u00ed<\/h2>\n
    P\u0159\u00edklad 1: V\u00fdpo\u010det rychlosti r\u016fstu<\/h2>\n
    V ekonomii a financ\u00edch m\u016f\u017ee b\u00fdt ATANH pou\u017eita k modelov\u00e1n\u00ed r\u016fstu, kdy je rychlost r\u016fstu vyj\u00e1d\u0159ena hyperbolickou funkc\u00ed. P\u0159edstavte si logaritmick\u00fd r\u016fst, kter\u00fd chcete p\u0159ev\u00e9st na standardn\u00ed r\u016fstov\u00fd model.<\/p>\n
     Zadejte '=ATANH(x)', kde x je logaritmick\u00e1 m\u00edra r\u016fstu.<\/code> <\/pre>\n
    P\u0159\u00edklad:<\/strong> Pokud je n\u00e1\u0161 logaritmick\u00fd r\u016fst 0.2, pak<\/p>\n
     =ATANH(0.2)<\/code> <\/pre>\n
    vypo\u010dte p\u0159ibli\u017enou standardn\u00ed m\u00edru r\u016fstu 0.2027.<\/p>\n
    P\u0159\u00edklad 2: Anal\u00fdza v in\u017een\u00fdrstv\u00ed<\/h2>\n
    Ve stavebnictv\u00ed mohou in\u017een\u00fd\u0159i pou\u017e\u00edt ATANH pro v\u00fdpo\u010det \u00fahl\u016f nebo k\u0159ivek most\u016f, kde se vy\u017eaduje modelov\u00e1n\u00ed pomoc\u00ed hyperbolick\u00fdch funkc\u00ed.<\/p>\n
    Uva\u017eujme p\u0159\u00edpad, kdy pot\u0159ebujeme ur\u010dit \u00fahel k\u0159ivky mostu. V tomto kontextu m\u016f\u017eeme pou\u017e\u00edt ATANH pro v\u00fdpo\u010det \u00fahlu na z\u00e1klad\u011b hyperbolick\u00e9 funkce:<\/p>\n
     Nech\u0165 'x' je k\u0159ivost mostu, Pak \u00fahel = ATANH(x)<\/code> <\/pre>\n
    P\u0159\u00edklad:<\/strong> Pro k\u0159ivost 0.3 vypo\u010dteme:<\/p>\n
     =ATANH(0.3)<\/code> <\/pre>\n
    V\u00fdsledek bude p\u0159ibli\u017en\u011b 0.3095, co\u017e m\u016f\u017ee b\u00fdt \u00fahel v radi\u00e1nech, odpov\u00eddaj\u00edc\u00ed p\u0159edpokl\u00e1dan\u00e9 k\u0159ivosti.<\/p>\n
    Oba tyto p\u0159\u00edklady ukazuj\u00ed, jak m\u016f\u017ee b\u00fdt ATANH u\u017eite\u010dn\u00e1 v modelov\u00e1n\u00edch a anal\u00fdz\u00e1ch v financ\u00edch a in\u017een\u00fdrstv\u00ed.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Vr\u00e1t\u00ed hyperbolick\u00fd 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-5429","post","type-post","status-publish","format-standard","hentry","category-matematicke-a-trigonometricke"],"acf":[],"yoast_head":"\nFunkce ATANH (ARCTGH) v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije ATANH (ARCTGH) u Excelu i Google tablicama. 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