COTH function

This article describes the formula syntax and usage of the COTH 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.


Return the hyperbolic cotangent of a hyperbolic angle.



The COTH function syntax has the following arguments.

  • Number    Required.


  • The hyperbolic cotangent is an analog of the ordinary (circular) cotangent.
  • The absolute value of Number must be less than 2^27.
  • If Number is outside its constraints, COTH returns the #NUM! error value.
  • If Number is a non-numeric value, COTH returns the #VALUE! error value.
  • The following equation is used:
    COTH equation


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