{"id":5802,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/sinh\/"},"modified":"2021-02-26T10:03:13","modified_gmt":"2021-02-26T10:03:13","slug":"sinh","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/sinh\/","title":{"rendered":"SINH"},"content":{"rendered":"<p>Funkce SINH, zn\u00e1m\u00e1 jako hyperbolick\u00fd sinus, je matematick\u00e1 funkce dostupn\u00e1 v Microsoft Excel i Google Sheets. Tato funkce vr\u00e1t\u00ed hyperbolick\u00fd sinus zadan\u00e9ho \u010d\u00edsla, kter\u00fd je definov\u00e1n vztahem (e^x &#8211; e^-x)\/2, kde e ozna\u010duje Eulerovo \u010d\u00edslo s p\u0159ibli\u017enou hodnotou 2.71828.<\/p>\n<h2>Popis a syntaxe funkce<\/h2>\n<p>Syntaxe funkce SINH je ve zm\u00edn\u011bn\u00fdch aplikac\u00edch velmi podobn\u00e1 a jednoduch\u00e1. Z\u00e1kladn\u00ed forma je n\u00e1sleduj\u00edc\u00ed:<\/p>\n<pre><code>=SINH(\u010d\u00edslo)<\/code><\/pre>\n<p>Argument &#8218;\u010d\u00edslo&#8216; zna\u010d\u00ed hodnotu nebo odkaz na bu\u0148ku, pro kterou je po\u017eadov\u00e1n v\u00fdpo\u010det hyperbolick\u00e9ho sinu.<\/p>\n<h2>Praktick\u00e9 p\u0159\u00edklady<\/h2>\n<p>Hyperbolick\u00e9 funkce jsou v\u00fdznamn\u00e9 zejm\u00e9na ve fyzice a in\u017een\u00fdrstv\u00ed, kde hraj\u00ed roli p\u0159i \u0159e\u0161en\u00ed r\u016fzn\u00fdch diferenci\u00e1ln\u00edch rovnic a modelov\u00e1n\u00ed jev\u016f vyu\u017e\u00edvaj\u00edc\u00edch hyperbolick\u00e9 k\u0159ivky.<\/p>\n<ul>\n<li><b>P\u0159\u00edklad 1:<\/b> Po\u010d\u00edtejte hyperbolick\u00fd sinus pro hodnotu 3.\n<pre><code>=SINH(3)<\/code><\/pre>\n<p>Na z\u00e1klad\u011b tohoto zad\u00e1n\u00ed ve va\u0161\u00ed tabulkov\u00e9 bu\u0148ce, Excel nebo Google Sheets vr\u00e1t\u00ed p\u0159ibli\u017enou hodnotu 10.01787 pro hyperbolick\u00fd sinus \u010d\u00edsla 3.<\/p>\n<\/li>\n<li><b>P\u0159\u00edklad 2:<\/b> Pou\u017eit\u00ed funkce SINH pro modelov\u00e1n\u00ed fyzik\u00e1ln\u00edho jevu.\n<p>P\u0159edstavte si situaci, kdy je pot\u0159eba modelovat teplotn\u00ed profil v trubce s maxim\u00e1ln\u00ed mo\u017enou teplotou 200 stup\u0148\u016f Celsia na st\u0159edov\u00e9 ose (x=0).<\/p>\n<pre><code>=200*SINH(0)<\/code><\/pre>\n<p>Jeliko\u017e SINH(0) = 0, v\u00fdsledek bude spr\u00e1vn\u011b 0, co\u017e odpov\u00edd\u00e1 teplot\u011b na okraji trubky.<\/p>\n<\/li>\n<\/ul>\n<h2>Vizu\u00e1ln\u00ed tabulka pr\u016fb\u011bhu funkce SINH<\/h2>\n<table border=\"1\">\n<tr>\n<th>x<\/th>\n<th>SINH(x)<\/th>\n<\/tr>\n<tr>\n<td>-3<\/td>\n<td>-10.01787<\/td>\n<\/tr>\n<tr>\n<td>-2<\/td>\n<td>-3.62686<\/td>\n<\/tr>\n<tr>\n<td>-1<\/td>\n<td>-1.17520<\/td>\n<\/tr>\n<tr>\n<td>0<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>1.17520<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>3.62686<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>10.01787<\/td>\n<\/tr>\n<\/table>\n<p>Tabulka ukazuje, \u017ee hodnoty SINH x rostou s jakoukoliv zvy\u0161uj\u00edc\u00ed se hodnotou x a naopak, z\u00e1porn\u00e9 hodnoty x generuj\u00ed z\u00e1porn\u00e9 v\u00fdsledky, co\u017e demonstruje symetrii t\u00e9to funkce kolem osy y. Funkce SINH je t\u00edm p\u00e1dem \u0161iroce vyu\u017eiteln\u00e1 v aplikac\u00edch jako Excel a Google Sheets pro modelov\u00e1n\u00ed dat zahrnuj\u00edc\u00edch hyperbolick\u00e9 k\u0159ivky.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vr\u00e1t\u00ed hyperbolick\u00fd sinus \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-5802","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 SINH v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije SINH u Excelu i Google tablicama. 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