# The Excel ACOTH Function

Related Function:
COTH Function
Hyperbolic Arccotangent

The hyperbolic arccotangent is the inverse of the hyperbolic cotangent. Therefore,

ACOTH( COTH( x ) ) = x

The equation used to calculate the hyperbolic arccotangent is:

Further information on the inverse hyperbolic functions is provided on Wikipedia.

## Function Description

The Excel Acoth function calculates the hyperbolic arccotangent (coth) of a supplied value.

Note: the Acoth function was only introduced in Excel 2013 and so is not available in earlier versions of Excel.

The syntax of the function is:

ACOTH( number )

Where the number argument is the value that you want to calculate the hyperbolic arccotangent of. This must be less than -1 or greater than +1.

## Acoth Function Examples

The following spreadsheet shows the Excel Acoth Function, used to calculate the hyperbolic arccotangent of three different values:

Formulas:
A
1=ACOTH( -5 )
2=ACOTH( 1.1 )
3=ACOTH( 2 )
Results:
A
1-0.202732554
21.522261219
30.549306144

For further details and examples of the Excel Acoth function, see the Microsoft Office website.

## Acoth Function Errors

If you get an error from the Excel Acoth function, this is likely to be one of the following:

Common Errors
 #NUM! - Occurs if the supplied number is between -1 and +1 (inclusive). #VALUE! - Occurs if the supplied number argument is not recognized as a numeric value.