{"id":6608,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/complexe-sinh\/"},"modified":"2021-02-26T08:08:21","modified_gmt":"2021-02-26T08:08:21","slug":"imsinh","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/imsinh\/","title":{"rendered":"COMPLEXE.SINH"},"content":{"rendered":"

Introduction<\/h2>\n

La fonction COMPLEXE.SINH<\/code> dans Excel et le sinus hyperbolique d’un nombre complexe dans Google Sheets sont con\u00e7ues pour calculer le sinus hyperbolique d’un nombre complexe sp\u00e9cifi\u00e9. Elle est fr\u00e9quemment utilis\u00e9e dans les domaines tels que l’\u00e9lectrotechnique et la m\u00e9canique quantique, o\u00f9 les nombres complexes sont essentiels.<\/p>\n

Syntaxe de la fonction<\/h2>\n

La syntaxe de la fonction COMPLEXE.SINH<\/code> est la suivante :<\/p>\n

COMPLEXE.SINH(nombre_complexe)<\/code><\/pre>\n
    \n
  • nombre_complexe<\/strong> : Le nombre complexe pour lequel le sinus hyperbolique est calcul\u00e9. Il doit \u00eatre une cha\u00eene de caract\u00e8res de la forme \u00ab\u00a0a+bi\u00a0\u00bb, o\u00f9 ‘a’ et ‘b’ repr\u00e9sentent des nombres r\u00e9els et ‘i’ est l’unit\u00e9 imaginaire.<\/li>\n<\/ul>\n
    Exemples d’utilisation<\/h2>\n\n\n\n\n
    Formule<\/th>\nDescription<\/th>\nR\u00e9sultat<\/th>\n<\/tr>\n
    =COMPLEXE.SINH(\"1+2i\")<\/code><\/td>\nCalcule le sinus hyperbolique du nombre complexe 1+2i.<\/td>\n3.16577851321617 + 1.95960104142161i<\/td>\n<\/tr>\n
    =COMPLEXE.SINH(\"2-3i\")<\/code><\/td>\nCalcule le sinus hyperbolique du nombre complexe 2-3i.<\/td>\n-3.59056458998578 – 0.53092108624852i<\/td>\n<\/tr>\n<\/table>\n
    Sc\u00e9narios pratiques d’application<\/h2>\n
    Examinons quelques contextes o\u00f9 la fonction COMPLEXE.SINH<\/code> peut \u00eatre utile.<\/p>\n
    Cas pratique 1 : Ing\u00e9nierie \u00e9lectrique<\/h2>\n
    Dans l’analyse de circuits avec des \u00e9l\u00e9ments r\u00e9actifs tels que les capacit\u00e9s et les inductances soumis \u00e0 un r\u00e9gime sinuso\u00efdal, la r\u00e9ponse de ces composants peut \u00eatre mod\u00e9lis\u00e9e par des fonctions de transfert qui incluent des termes complexes.<\/p>\n
     Formule utilis\u00e9e: =COMPLEXE.SINH(\"2+3i\")<\/code> R\u00e9sultat obtenu: 5.10328294217194 + 4.06685171883977i <\/pre>\n
    Ce r\u00e9sultat est crucial pour d\u00e9terminer la r\u00e9ponse du syst\u00e8me \u00e0 certaines fr\u00e9quences, ce qui est essentiel pour l’optimisation du circuit.<\/p>\n
    Cas pratique 2 : Dynamique des fluides<\/h2>\n
    En dynamique des fluides, les \u00e9quations du mouvement des fluides en r\u00e9gimes non lin\u00e9aires peuvent comprendre des termes en sinus hyperbolique de nombres complexes pour mod\u00e9liser les d\u00e9formations de flux.<\/p>\n
     Formule utilis\u00e9e: =COMPLEXE.SINH(\"1-1i\")<\/code> R\u00e9sultat obtenu: 0.634963914784736 - 1.29845758141598i <\/pre>\n
    Ce r\u00e9sultat permet aux ing\u00e9nieurs de mod\u00e9liser le comportement des fluides sous diverses contraintes physiques, facilitant la pr\u00e9vision des comportements complexes.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Renvoie le sinus hyperbolique d\u2019un nombre complexe<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[316],"tags":[],"class_list":["post-6608","post","type-post","status-publish","format-standard","hentry","category-ingenierie"],"acf":[],"yoast_head":"\nFonction IMSINH (COMPLEXE.SINH) dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction IMSINH (COMPLEXE.SINH) d\u2019Excel et Google Sheets. 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