COTH function

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


Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.





Returns the hyperbolic cotangent of 2 (1.037).


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Applies To: Excel 2016, Excel 2013, Excel Online, Excel 2016 for Mac, Excel for Mac 2011

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