The Excel ATANH Function

Related Functions:

Inverse Hyperbolic Tangent

The atanh function returns the inverse hyperbolic tangent. Therefore,

ATANH( TANH( z ) ) = z

The equation used to calculate the inverse hyperbolic tangent is:

Further information on the inverse hyperbolic functions can be found on Wikipedia

Function Description

The Excel Atanh function calculates the inverse hyperbolic tangent of a supplied number.

The syntax of the function is:

ATANH( number )

Where the number argument is a real number, between (but not equal to) -1 and 1, that you want to calculate the inverse hyperbolic tangent of.

Column B of the following spreadsheet shows the Excel Atanh Function, used to calculate the inverse hyperbolic tangent of three different values:

Formulas:

Results:

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

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

Common Errors

#NUM!	-	Occurs if the supplied number is ≤ -1 or ≥ 1.
#VALUE!	-	Occurs if the supplied number argument is not recognized as a numeric value.