Documentation/Calc Functions/CSCH/en

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: $$\text{csch}(x)~=~\frac{1}{\sinh(x)}~=~\frac{2}{e^x-e^{-x}}$$

The figure below illustrates the function CSCH.

Related LibreOffice functions:
COSH

COTH

SECH

SINH

TANH

ODF standard:
Section 6.16.24, part 2

Equivalent Excel functions:
CSCH