{"id":99,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/2021\/02\/12\/cosh\/"},"modified":"2021-02-13T11:33:14","modified_gmt":"2021-02-13T11:33:14","slug":"cosh","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/en\/cosh\/","title":{"rendered":"COSH"},"content":{"rendered":"

Overview<\/h2>\n

This article delves into the COSH function used in Microsoft Excel and Google Sheets. The COSH function computes the hyperbolic cosine of a given number, an analog to the trigonometric cosine, which is based on hyperbolic rather than circular functions. More specifically, it calculates the value of (e^x + e^(-x))\/2, where e represents the base of natural logarithms.<\/p>\n

Syntax<\/h2>\n

The COSH function shares the same syntax in both Excel and Google Sheets:<\/p>\n

=COSH(number)<\/code><\/pre>\n
    \n
  • number<\/code>: The numeric value for which the hyperbolic cosine is to be calculated.<\/li>\n<\/ul>\n
    Examples<\/h2>\n
    Example 1 – Basic Usage<\/h2>\n
    For a straightforward example in both Excel and Google Sheets, consider finding the hyperbolic cosine of the number 2. We would use the following formula:<\/p>\n\n\n\n
    Input<\/th>\nFormula<\/th>\nOutput<\/th>\n<\/tr>\n
    2<\/td>\n=COSH(2)<\/td>\n3.76219569108363<\/td>\n<\/tr>\n<\/table>\n
    The COSH function calculates the hyperbolic cosine of 2 as approximately 3.76219569108363.<\/p>\n
    Example 2 – Using Cell References<\/h2>\n
    Cell references can also serve as inputs for the COSH function. Consider the example where:<\/p>\n\n\n\n
    Input (A1)<\/th>\nFormula<\/th>\nOutput<\/th>\n<\/tr>\n
    1.5<\/td>\n=COSH(A1)<\/td>\n2.35240961524325<\/td>\n<\/tr>\n<\/table>\n
    Here, the COSH function determines the hyperbolic cosine of the value in cell A1, which is 1.5, yielding approximately 2.35240961524325.<\/p>\n
    Example 3 – Applying to Real-World Problems<\/h2>\n
    The COSH function is applicable in various practical scenarios, including cable suspension shapes or heat conduction analysis. In fields such as engineering and physics, hyperbolic cosine functions frequently appear in equations describing physical systems.<\/p>\n
    Understanding and applying the COSH function allows for the performance of sophisticated calculations involving hyperbolic cosine values in your Excel or Google Sheets workbooks.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Returns the hyperbolic cosine of a number<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[198],"tags":[],"class_list":["post-99","post","type-post","status-publish","format-standard","hentry","category-math-and-trigonometry"],"acf":[],"yoast_head":"\nExcel COSH Function \u2013 How It Works, Formula Examples and Syntax<\/title>\n<meta name=\"description\" content=\"Learn what the Excel COSH function does. 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