{"id":6474,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/csch\/"},"modified":"2021-02-26T08:03:59","modified_gmt":"2021-02-26T08:03:59","slug":"csch","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/csch\/","title":{"rendered":"CSCH"},"content":{"rendered":"

La fonction CSCH dans MS Excel et Google Sheets calcule la cosecante hyperbolique d’un nombre. La cosecante hyperbolique d’un angle est d\u00e9finie comme l’inverse du sinus hyperbolique de cet angle. Cet article explique le fonctionnement de cette fonction et illustre son utilisation pratique \u00e0 travers des exemples et des exercices.<\/p>\n

Description et syntaxe<\/h2>\n

La syntaxe de la fonction CSCH est simple :<\/p>\n

=CSCH(nombre)<\/code><\/pre>\n
    \n
  • nombre<\/strong> : Correspond \u00e0 l’angle dont vous souhaitez calculer la cosecante hyperbolique. Cet angle doit \u00eatre exprim\u00e9 en radians.<\/li>\n<\/ul>\n
    Exemples d’utilisation<\/h2>\n
    Voici un exemple simple d’application de la fonction CSCH :<\/p>\n
    =CSCH(1)<\/code><\/pre>\n
    Cette formule renvoie environ 0.850918, valeur de la cosecante hyperbolique de 1 radian.<\/p>\n
    Applications pratiques<\/h2>\n
    La fonction CSCH est utile dans divers domaines tels que l’ing\u00e9nierie et l’analyse de certaines fonctions biologiques ou physiques o\u00f9 les fonctions hyperboliques sont pertinentes.<\/p>\n
    Exercice 1 : Calcul de la variation de la temp\u00e9rature<\/h2>\n
    Imaginons qu’un mod\u00e8le d\u00e9crive la variation de temp\u00e9rature dans un r\u00e9acteur chimique en fonction du temps \u00e0 l’aide d’une fonction contenant le sinus hyperbolique d’un param\u00e8tre. Pour trouver les points o\u00f9 la vitesse de variation de la temp\u00e9rature est maximale ou minimale, nous pouvons utiliser la fonction CSCH.<\/p>\n
     
    Temps (heures)<\/td>Temp\u00e9rature (Sinh)<\/td>Vitesse de variation (Csch)<\/td><\/tr> 
    0<\/td>=SINH(0)<\/td>=CSCH(A2)<\/td><\/tr> 
    1<\/td>=SINH(1)<\/td>=CSCH(A3)<\/td><\/tr> 
    2<\/td>=SINH(2)<\/td>=CSCH(A4)<\/td><\/tr> <\/table><\/code><\/pre>\n
    Dans Excel ou Google Sheets, ce tableau permet de calculer rapidement les points de variations extr\u00eames de la temp\u00e9rature.<\/p>\n
    Exercice 2 : Mod\u00e9lisation en biophysique<\/h2>\n
    En biophysique, lorsqu’un mod\u00e8le utilise une fonction hyperbolique pour estimer les pressions dans un fluide sous certaines conditions, la fonction CSCH peut \u00eatre utilis\u00e9e pour identifier les zones de pression faible en inversant les valeurs du sinus hyperbolique. Voici une fa\u00e7on de structurer cela :<\/p>\n
     
    Pression (Sinh)<\/td>Zone de faible pression (Csch)<\/td><\/tr> 
    =SINH(0.5)<\/td>=CSCH(A2)<\/td><\/tr> 
    =SINH(1.5)<\/td>=CSCH(A3)<\/td><\/tr> 
    =SINH(2.5)<\/td>=CSCH(A4)<\/td><\/tr> <\/table><\/code><\/pre>\n
    Cette table, utilisable dans Excel ou Google Sheets, aide les chercheurs \u00e0 visualiser et \u00e9valuer les zones de pression critique.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Renvoie la cos\u00e9cante hyperbolique d\u2019un angle<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[310],"tags":[],"class_list":["post-6474","post","type-post","status-publish","format-standard","hentry","category-mathematiques-et-trigonometrie"],"acf":[],"yoast_head":"\nFonction CSCH dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction CSCH d\u2019Excel et Google Sheets. 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