Documentation/Calc Functions/CSCH
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Function name:
CSCH
Category:
Mathematical
Summary:
Calculates the hyperbolic cosecant (csch) of a hyperbolic angle expressed in radians.
Syntax:
CSCH(Number)
Returns:
Returns a non-zero real number that is the hyperbolic cosecant of the specified hyperbolic angle.
Arguments:
Number is a non-zero real number, or a reference to a cell containing that number, that is the hyperbolic angle in radians whose hyperbolic cosecant is to be calculated.
- If Number is non-numeric, then CSCH reports a #VALUE! error.
- If Number is equal to 0, then CSCH reports a #NUM! error.
Additional details:
The formula for the hyperbolic cosecant of x is:
[math]\displaystyle{ \text{csch}(x)~=~\frac{1}{~\sinh(x)}~=~\frac{2}{e^x-e^{-x}} }[/math]
The figure below illustrates the function CSCH.
Examples:
| Formula | Description | Returns |
|---|---|---|
| =CSCH(1) | Hyperbolic cosecant of 1. | 0.850918128239321 |
| =CSCH(D1) where cell D1 contains the number -2. | Hyperbolic cosecant of -2. | −0.275720564771783 |
Related LibreOffice functions:
ODF standard:
Related (or similar) Excel functions:
CSCH since v.2013.