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


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 arccotangent of 6 (0.168).


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