{"id":5425,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/arcsin\/"},"modified":"2021-02-26T09:49:56","modified_gmt":"2021-02-26T09:49:56","slug":"asin","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/asin\/","title":{"rendered":"ARCSIN"},"content":{"rendered":"

\u00davod do funkc\u00ed ASIN a ARCSIN<\/h2>\n

Funkce ASIN, zn\u00e1m\u00e1 tak\u00e9 jako ARCSIN, je matematick\u00e1 funkce pou\u017e\u00edvan\u00e1 v elektronick\u00fdch tabulk\u00e1ch jako Excel a Google Sheets. Tato funkce v\u00e1m umo\u017en\u00ed vypo\u010d\u00edtat arkussinus, co\u017e je inverzn\u00ed funkce k sinusov\u00e9 funkci, a vr\u00e1t\u00ed \u00fahel v radi\u00e1nech mezi -\u03c0\/2 a \u03c0\/2.<\/p>\n

Syntaxe a p\u0159\u00edklady<\/h2>\n

Syntaxe funkce ASIN v Excelu a Google Sheets je:<\/p>\n

ASIN(\u010d\u00edslo)<\/code><\/pre>\n
Argument \u010d\u00edslo<\/code> mus\u00ed b\u00fdt sinusov\u00e1 hodnota \u00fahlu, kter\u00e1 by m\u011bla b\u00fdt v rozmez\u00ed od -1 do 1.<\/p>\n
 P\u0159\u00edklad pou\u017eit\u00ed:<\/p>\n
    \n
  • Vypo\u010d\u00edt\u00e1me arkussinus pro hodnotu 0.5:<\/li>\n<\/ul>\n
    =ASIN(0.5)<\/code><\/pre>\n
     Tento p\u0159\u00edklad vr\u00e1t\u00ed p\u0159ibli\u017en\u011b 0.5235987756 radi\u00e1n\u016f, co\u017e odpov\u00edd\u00e1 \u00fahlu 30 stup\u0148\u016f.<\/p>\n
    Vyu\u017eit\u00ed v praxi<\/h2>\n
     Funkce ASIN je hodnotn\u00fdm n\u00e1strojem v mnoha matematick\u00fdch a in\u017een\u00fdrsk\u00fdch aplikac\u00edch kde je nutn\u00e9 ur\u010dit \u00fahel z jeho sinus hodnoty.<\/p>\n
    P\u0159\u00edklad 1: V\u00fdpo\u010det \u00fahlu skluzavky<\/h2>\n
     M\u00e1me skluzavku s v\u00fd\u0161kou 2 metry a d\u00e9lkou 5 metr\u016f. Chceme ur\u010dit \u00fahel, pod kter\u00fdm je skluzavka naklon\u011bna.<\/p>\n
    sin(\u00fahel) = v\u00fd\u0161ka \/ d\u00e9lka = 2\/5 = 0.4<\/code><\/pre>\n
     Pou\u017eijeme funkci ASIN k z\u00edsk\u00e1n\u00ed \u00fahlu:<\/p>\n
    =ASIN(0.4)<\/code><\/pre>\n
     Tento v\u00fdpo\u010det vr\u00e1t\u00ed \u00fahel ve radi\u00e1nech, kter\u00fd lze p\u0159ev\u00e9st na stupn\u011b, pokud je t\u0159eba.<\/p>\n
    P\u0159\u00edklad 2: Ur\u010den\u00ed \u00fahlu slune\u010dn\u00edho sv\u011btla<\/h2>\n
     V meteorologii m\u016f\u017ee b\u00fdt u\u017eite\u010dn\u00e9 ur\u010dit \u00fahel padaj\u00edc\u00edho slune\u010dn\u00edho sv\u011btla, kter\u00fd lze odvodit z hodnoty sinus z\u00edskan\u00e9 ze senzor\u016f.<\/p>\n
    sin(\u00fahel slune\u010dn\u00edho sv\u011btla) = 0.7071<\/code><\/pre>\n
     Pou\u017eit\u00edm ASIN z\u00edsk\u00e1me:<\/p>\n
    =ASIN(0.7071)<\/code><\/pre>\n
     V\u00fdsledek bude op\u011bt ve radi\u00e1nech a jeho p\u0159epo\u010det na stupn\u011b poskytne \u00fahel p\u0159ibli\u017en\u011b 45 stup\u0148\u016f.<\/p>\n
    Z\u00e1v\u011br<\/h2>\n
     Jak je patrn\u00e9, ASIN je extr\u00e9mn\u011b u\u017eite\u010dn\u00e1 matematick\u00e1 funkce, kter\u00e1 najde sv\u00e9 uplatn\u011bn\u00ed v \u0161irok\u00e9 \u0161k\u00e1le oblast\u00ed od vzd\u011bl\u00e1v\u00e1n\u00ed po technick\u00e9 a meteorologick\u00e9 aplikace, umo\u017e\u0148uj\u00edc\u00ed p\u0159evod mezi sinusov\u00fdmi hodnotami a odpov\u00eddaj\u00edc\u00edmi \u00fahly.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Vr\u00e1t\u00ed arkussinus \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-5425","post","type-post","status-publish","format-standard","hentry","category-matematicke-a-trigonometricke"],"acf":[],"yoast_head":"\nFunkce ASIN (ARCSIN) v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije ASIN (ARCSIN) u Excelu i Google tablicama. 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