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

    Related (or similar) Excel functions:

    CSCH since v.2013.