Documentation/Calc Functions/SINH

    From The Document Foundation Wiki


    Function name:

    SINH

    Category:

    Mathematical

    Summary:

    Calculates the hyperbolic sine (sinh) of a hyperbolic angle expressed in radians.

    Syntax:

    SINH(Number)

    Returns:

    Returns a real number that is the hyperbolic sine 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 sine is to be calculated.

    • If Number is non-numeric, then SINH reports a #VALUE! error.

    Additional details:

    The formula for the hyperbolic sine of x is:

    [math]\displaystyle{ \sinh(x)~=~\frac{e^x-e^{-x}}{2} }[/math]

    The figure below illustrates the function SINH.

    SINH function

    Examples:

    Formula Description Returns
    =SINH(0) Hyperbolic sine of 0. 0
    =SINH(D1) where cell D1 contains the number -2. Hyperbolic sine of -2. −3.62686040784702
    =ASINH(SINH(3)) The hyperbolic sine of 3 radians is taken and then the inverse hyperbolic sine of that value is calculated. 3

    Related LibreOffice functions:

    ASINH

    COSH

    COTH

    CSCH

    SECH

    TANH

    ODF standard:

    Section 6.16.56, part 2

    Related (or similar) Excel functions:

    SINH