Documentation/Calc Functions/ATANH
TDF LibreOffice Document Liberation Project Community Blogs Weblate Nextcloud Redmine Ask LibreOffice Donate
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:
[math]\displaystyle{ \operatorname{artanh}(x) = \frac{1}{2}~ \ln\left (\dfrac{1+x}{1-x}\right ) }[/math]
The figure below illustrates the function ATANH.
Examples:
| Formula | Description | Returns |
|---|---|---|
| =ATANH(0) | Inverse hyperbolic tangent of 0. | 0 |
| =ATANH(TANH(4)) | Inverse hyperbolic tangent of hyperbolic tangent of 4. | 3.99999999999999 |
| =ATANH(D1) where cell D1 contains the number 0.5. | Inverse hyperbolic tangent of 0.5. | 0.549306144334055 |
Related LibreOffice functions:
ODF standard:
Related (or similar) Excel functions:
ATANH