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Excel ACOTH Function

The ACOTH function returns the inverse hyperbolic cotangent of a number.

Note: The ACOTH function was introduced in Excel 2013. So, it is not available in earlier versions of Excel.

acoth function 1




  • number (required): The value for which you want to calculate the inverse hyperbolic cotangent. Note: The number must be less than -1 or greater than 1.

Return Value

The ACOTH function returns a numeric value.

Function Notes

  • The hyperbolic arccotangent is the inverse of the hyperbolic cotangent, so the result of =ACOTH(COTH(number)) is number itself.
  • ACOTH returns the #NUM! error if -1 ≤ number ≤ 1.
  • ACOTH returns the #VALUE! error if number is not numeric.


To calculate the inverse hyperbolic cotangent of the numbers listed in the table as shown below, please copy or enter the below formula in the top cell (D6) of the result list, and press Enter to get the result. Then select the result cell, and drag the fill handle (the small square in the lower-right corner of the selected cell) down to apply the formula to the below cells.


acoth function 2

Instead of a cell reference, you can type the actual number value in the formula as shown below.


Related functions

Excel ACOT Function

The ACOT function calculates the arccotangent (inverse cotangent) of a number, and returns an angle, in radians, in the range from 0 (zero) to π (pi).

Excel ACOSH Function

The ACOSH function returns inverse hyperbolic cosine of a number.

Excel ASINH Function

The ASINH function returns the inverse hyperbolic sine of a number.

Excel ATANH Function

The ATANH function returns the inverse hyperbolic tangent of a number.

Excel COSH Function

The COSH function returns the hyperbolic cosine of a number.

Excel COTH Function

The COTH function returns the hyperbolic cotangent of a hyperbolic angle.

Excel CSCH Function

The CSCH function returns the hyperbolic cosecant of an angle specified in radians.

Excel SECH Function

The SECH function calculates the hyperbolic secant of an angle in radians.

Excel SINH Function

The SINH function calculates the hyperbolic sine of a number.

Excel TANH Function

The TANH function calculates the hyperbolic tangent of a number.

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