{"id":6379,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/acos\/"},"modified":"2021-02-26T08:01:35","modified_gmt":"2021-02-26T08:01:35","slug":"acos","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/acos\/","title":{"rendered":"ACOS"},"content":{"rendered":"

Syntaxe et description<\/h2>\n

La fonction ACOS<\/strong> dans Excel et Google Sheets est utilis\u00e9e pour calculer l’arc cosinus d’un nombre, correspondant \u00e0 l’angle dont le cosinus est le nombre donn\u00e9. L’angle est retourn\u00e9 sous forme de radians.<\/p>\n

Voici la syntaxe g\u00e9n\u00e9rale de la fonction :<\/p>\n

=ACOS(nombre)<\/code><\/pre>\n
O\u00f9 nombre<\/code> repr\u00e9sente la valeur cosinus de l’angle \u00e0 calculer. Ce nombre doit \u00eatre compris entre -1 et 1.<\/p>\n
Exemples pratiques d’utilisation<\/h2>\n
Explorons quelques exemples o\u00f9 l’utilisation de la fonction ACOS peut \u00eatre pertinente.<\/p>\n
Sc\u00e9nario 1: Calcul d’un angle dans un triangle<\/h2>\n
Imaginons que vous travaillez avec un triangle dont vous connaissez les longueurs des c\u00f4t\u00e9s et que vous devez d\u00e9terminer un des angles. Consid\u00e9rons un triangle avec les c\u00f4t\u00e9s de longueur 8, 6 et 10. Pour trouver l’angle oppos\u00e9 au plus long c\u00f4t\u00e9 (l\u2019hypoth\u00e9nuse), nous utilisons le th\u00e9or\u00e8me d’Al-Kashi, aussi connu sous le nom de loi des cosinus :<\/p>\n
cos(C) = (a\u00b2 + b\u00b2 - c\u00b2) \/ (2ab)<\/code><\/pre>\n
Dans notre cas :<\/p>\n
cos(C) = (8\u00b2 + 6\u00b2 - 10\u00b2) \/ (2 * 8 * 6) = -0.125<\/code><\/pre>\n
Pour d\u00e9terminer l’angle C, nous utilisons ACOS :<\/p>\n
=ACOS(-0.125)<\/code><\/pre>\n
Cela renverra la valeur de l’angle C en radians. Pour convertir cette valeur en degr\u00e9s, multipliez-la par 180\/PI().<\/p>\n
Sc\u00e9nario 2: V\u00e9rifier la validit\u00e9 d’un angle<\/h2>\n
Supposons que vous d\u00e9veloppiez une application n\u00e9cessitant la validation des angles entr\u00e9s par les utilisateurs pour des op\u00e9rations trigonom\u00e9triques impliquant le cosinus. Vous pouvez utiliser la fonction ACOS pour accomplir cette t\u00e2che.<\/p>\n
    \n
  • Un utilisateur saisit un cosinus de 0.5.<\/li>\n
  • Vous calculez l’angle correspondant avec =ACOS(0.5).<\/li>\n
  • Assurez-vous que le r\u00e9sultat est un nombre r\u00e9el, validant ainsi la saisie de l’utilisateur.<\/li>\n<\/ul>\n
    Si la valeur saisie est en dehors de l’intervalle [-1, 1], Excel ou Google Sheets signalera une erreur, indiquant que la valeur saisie n’est pas valide pour l’arc cosinus.<\/p>\n
    Conclusion<\/h2>\n
    La fonction ACOS est indispensable pour transformer des valeurs cosinus en angles. Comprendre son fonctionnement et ses restrictions est essentiel pour manipuler des calculs trigonom\u00e9triques dans Excel et Google Sheets. En appliquant les exemples mentionn\u00e9s, vous pouvez utiliser cette fonction efficacement dans diverses situations pratiques.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Renvoie l\u2019aRccosinus 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-6379","post","type-post","status-publish","format-standard","hentry","category-mathematiques-et-trigonometrie"],"acf":[],"yoast_head":"\nFonction ACOS dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction ACOS d\u2019Excel et Google Sheets. 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