{"id":6768,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/sinh\/"},"modified":"2021-02-26T08:13:42","modified_gmt":"2021-02-26T08:13:42","slug":"sinh","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/sinh\/","title":{"rendered":"SINH"},"content":{"rendered":"<p>La fonction SINH, ou sinus hyperbolique, est utilis\u00e9e dans les feuilles de calcul de Microsoft Excel et Google Sheets pour renvoyer le sinus hyperbolique d&rsquo;un nombre. Le sinus hyperbolique d&rsquo;un nombre x est d\u00e9fini par la formule (exp(x) &#8211; exp(-x)) \/ 2, o\u00f9 exp d\u00e9signe la fonction exponentielle.<\/p>\n<h2>Syntaxe de la fonction<\/h2>\n<p>La syntaxe de la fonction SINH dans Excel et Google Sheets est la suivante :<\/p>\n<pre><code>SINH(nombre)<\/code><\/pre>\n<p>O\u00f9 <code>nombre<\/code> est l&rsquo;argument pour lequel vous souhaitez obtenir le sinus hyperbolique. Notez que cet argument peut \u00eatre un nombre r\u00e9el ou complexe.<\/p>\n<h2>Exemples d&rsquo;utilisation<\/h2>\n<ul>\n<li>\n<p><code>SINH(0)<\/code> renvoie 0, car le sinus hyperbolique de 0 est 0.<\/p>\n<\/li>\n<li>\n<p><code>SINH(1)<\/code> retourne environ 1.175, le sinus hyperbolique de 1.<\/p>\n<\/li>\n<\/ul>\n<h2>Situations pratiques pour l&rsquo;utilisation de la fonction<\/h2>\n<p>La fonction SINH est particuli\u00e8rement utile pour mod\u00e9liser des ph\u00e9nom\u00e8nes qui utilisent les s\u00e9ries de Fourier ou qui suivent des courbes de croissance exponentielle. Voici quelques applications pratiques de la fonction SINH.<\/p>\n<h2>Exemple 1: Calcul du d\u00e9placement d&rsquo;une cha\u00eene en physique<\/h2>\n<p>Supposons que nous devons calculer le d\u00e9placement y d&rsquo;une cha\u00eene, mod\u00e9lis\u00e9 par l&rsquo;\u00e9quation y = a * SINH(b*x), o\u00f9 a et b sont des constantes, et x repr\u00e9sente la position le long de la cha\u00eene.<\/p>\n<p>Pour une cha\u00eene avec a = 2 et b = 0.5, et une valeur de x allant de -10 \u00e0 10, la fonction SINH peut \u00eatre utilis\u00e9e de la mani\u00e8re suivante dans Excel ou Google Sheets :<\/p>\n<pre><code>=2 * SINH(0.5 * A1)<\/code><\/pre>\n<p>Copiez cette formule dans une colonne o\u00f9 la colonne A contient les valeurs de x de -10 \u00e0 10.<\/p>\n<h2>Exemple 2: Mod\u00e9lisation de la croissance d\u00e9mographique<\/h2>\n<p>Imaginons un mod\u00e8le simplifi\u00e9 de croissance d\u00e9mographique o\u00f9 la croissance est exprim\u00e9e par P = P0 * SINH(r*t), avec P0 comme population initiale, r le taux de croissance, et t le temps en ann\u00e9es.<\/p>\n<p>En posant P0 = 1000, r = 0.03, et t allant de 0 \u00e0 10 ans, la population pr\u00e9vue peut \u00eatre calcul\u00e9e avec la formule suivante :<\/p>\n<pre><code>=1000 * SINH(0.03 * A1)<\/code><\/pre>\n<p>Ins\u00e9rez les valeurs de t dans la colonne A et appliquez la formule pour obtenir les projections de population pour chaque ann\u00e9e.<\/p>\n<p>En conclusion, la fonction SINH est un outil pr\u00e9cieux pour simplifier et effectuer des calculs math\u00e9matiques complexes dans des contextes scientifiques et \u00e9conomiques, \u00e9vitant ainsi des calculs manuels fastidieux.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Renvoie le sinus hypeRbolique d\u2019un nombRe<\/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-6768","post","type-post","status-publish","format-standard","hentry","category-mathematiques-et-trigonometrie"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fonction SINH dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction SINH d\u2019Excel et Google Sheets. 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