{"id":41,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/2021\/02\/12\/atanh\/"},"modified":"2021-02-13T11:32:39","modified_gmt":"2021-02-13T11:32:39","slug":"atanh","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/en\/atanh\/","title":{"rendered":"ATANH"},"content":{"rendered":"

Today, let’s delve into the ATANH function, available in both Microsoft Excel and Google Sheets. ATANH stands for the inverse hyperbolic tangent function, also referred to as the arc hyperbolic tangent. This function is crucial for deriving the angle whose hyperbolic tangent corresponds to a given number.<\/p>\n

Syntax in Excel and Google Sheets<\/h2>\n

The syntax for the ATANH function is consistent across both Excel and Google Sheets:<\/p>\n

ATANH(number)<\/code><\/pre>\n
    \n
  • number<\/code>: This is a real number between -1 and 1. The function calculates the inverse hyperbolic tangent for this number.<\/li>\n<\/ul>\n
    Examples<\/h2>\n
    To clarify how the ATANH function is used, let’s review a couple of examples.<\/p>\n
    Example 1<\/h3>\n
    Determining the inverse hyperbolic tangent of 0.5.<\/p>\n\n\n\n
    Formula<\/th>\nResult<\/th>\n<\/tr>\n
    =ATANH(0.5)<\/code><\/td>\n0.5493<\/td>\n<\/tr>\n<\/table>\n
    The outcome of ATANH(0.5)<\/code> is approximately 0.5493.<\/p>\n
    Example 2<\/h3>\n
    Calculating the inverse hyperbolic tangent of -0.8.<\/p>\n\n\n\n
    Formula<\/th>\nResult<\/th>\n<\/tr>\n
    =ATANH(-0.8)<\/code><\/td>\n-1.0986<\/td>\n<\/tr>\n<\/table>\n
    The result of ATANH(-0.8)<\/code> is roughly -1.0986.<\/p>\n
    Practical Applications<\/h2>\n
    The ATANH function is immensely beneficial across various fields including mathematics, engineering, and statistics. It is extensively utilized for modeling growth rates, calculating angles, and data analysis among other applications.<\/p>\n
    It is important to remember that the input for the ATANH function should strictly be a number between -1 and 1. Providing a value outside this range results in a #NUM! error.<\/p>\n
    Mastering the usage of the ATANH function in Excel and Google Sheets enhances your ability to handle sophisticated calculations involving hyperbolic functions with proficiency.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Returns the inverse hyperbolic tangent 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-41","post","type-post","status-publish","format-standard","hentry","category-math-and-trigonometry"],"acf":[],"yoast_head":"\nExcel ATANH Function \u2013 How It Works, Formula Examples and Syntax<\/title>\n<meta name=\"description\" content=\"Learn what the Excel ATANH function does. 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