ACOTH function

This article describes the formula syntax and usage of the ACOTH function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.


Returns the inverse hyperbolic cotangent of a number.



The ACOTH function syntax has the following arguments.

Number    Required. The absolute value of Number must be greater than 1.


  • The hyperbolic arccotangent is an analog of the ordinary (circular) arccotangent.
  • If Number is less than 1, ACOTH returns the #NUM! error value.
  • If the absolute value of Number is less than 1, ACOT returns the #VALUE! error value.
  • This mathematical equation is used:
    Formula for hyperbolic arccotangent


The workbook below shows examples of this function. Inspect them, change existing formulas, or enter your own formulas to learn how the function works.

To work more in-depth with the example data in Excel, download the embedded workbook to your computer, and then open it in Excel.

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Applies to:
Excel 2013, Excel Online