Documentation/Calc Functions/COSH
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Function name:
COSH
Category:
Mathematical
Summary:
Calculates the hyperbolic cosine (cosh) of a hyperbolic angle expressed in radians.
Syntax:
COSH(Number)
Returns:
Returns a real number in the range [1, ∞) that is the hyperbolic cosine 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 cosine is to be calculated.
- If Number is non-numeric, then COSH reports a #VALUE! error.
Additional details:
The formula for the hyperbolic cosine of x is:
[math]\displaystyle{ \cosh(x)~=~\frac{e^x+e^{-x}}{2} }[/math]
The figure below illustrates the function COSH.
Examples:
| Formula | Description | Returns |
|---|---|---|
| =COSH(0) | Hyperbolic cosine of 0. | 1 |
| =COSH(D1) where cell D1 contains the number -2. | Hyperbolic cosine of -2. | 3.76219569108363 |
| =ACOSH(COSH(3)) | The hyperbolic cosine of 3 radians is taken and then the inverse hyperbolic cosine of that value is calculated. Note that =ACOSH(COSH(-3)) also returns 3, because COSH is an even function. |
3 |
Related LibreOffice functions:
ODF standard:
Related (or similar) Excel functions:
COSH