Documentation/Calc Functions/ATANH/en

Function name:
ATANH

Category:
Mathematical

Summary:
Calculates the inverse hyperbolic tangent (artanh) of a real number, in radians.

Syntax:
ATANH(Number)

Returns:
Returns a real number that is the inverse hyperbolic tangent of Number in radians.

Arguments:
Number is a real number in the range (-1, 1), or a reference to a cell containing that number, whose inverse hyperbolic tangent is to be calculated.


 * If Number is non-numeric, then ATANH reports a #VALUE! error.
 * If Number lies outside the range (-1, 1), the ATANH reports an invalid argument error (Err:502).

Additional details:
The formula for the inverse hyperbolic tangent of x is:

$$\operatorname{artanh}(x) = \frac{1}{2}~ \ln\left (\dfrac{1+x}{1-x}\right )$$

The figure below illustrates the function ATANH.

Related LibreOffice functions:
ACOSH

ACOTH

ASINH

FISHER

TANH

ODF standard:
Section 6.16.11, Part 2

Equivalent Excel functions:
ATANH