Documentation/Calc Functions/TANH
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Function name:
TANH
Category:
Mathematical
Summary:
Calculates the hyperbolic tangent (tanh) of a hyperbolic angle expressed in radians.
Syntax:
TANH(Number)
Returns:
Returns a real number in the range (-1, 1) that is the hyperbolic tangent of the specified hyperbolic angle.
Arguments:
Number is a real number, or a reference to a cell containing that number, that is the hyperbolic angle in radians whose hyperbolic tangent is to be calculated.
- If Number is non-numeric, then TANH reports a #VALUE! error.
Additional details:
The formula for the hyperbolic tangent of x is:
[math]\displaystyle{ \tanh(x)~=~\frac{\sinh(x)}{\cosh(x)}~=~\frac{e^x-e^{-x}}{e^x+e^{-x}} }[/math]
The figure below illustrates the function TANH.
Examples:
| Formula | Description | Returns |
|---|---|---|
| =TANH(0) | Hyperbolic tangent of 0. | 0 |
| =TANH(D1) where cell D1 contains the number -2. | Hyperbolic tangent of -2. | −0.964027580075817 |
| =ATANH(TANH(3)) | The hyperbolic tangent of 3 radians is taken and then the inverse hyperbolic tangent of that value is calculated. | 3 |
Related LibreOffice functions:
ODF standard:
Related (or similar) Excel functions:
TANH