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.

CSCH function

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:

COSH

COTH

SECH

SINH

TANH

ODF standard:

Section 6.16.24, part 2

Equivalent Excel functions:

CSCH