Documentation/Calc Functions/SECH/en

Function name:
SECH

Category:
Mathematical

Summary:
Calculates the hyperbolic secant (sech) of a hyperbolic angle expressed in radians.

Syntax:
SECH(Number)

Returns:
Returns a real number in the range (0, 1] that is the hyperbolic secant 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 secant is to be calculated.


 * If Number is non-numeric, then SECH reports a #VALUE! error.

Additional details:
The formula for the hyperbolic secant of x is:

$$\text{sech}(x)~=~\frac{1}{\cosh(x)}~=~\frac{2}{e^x+e^{-x}}$$

The figure below illustrates the function SECH.

Related LibreOffice functions:
COSH

COTH

CSCH

SINH

TANH

ODF standard:
Section 6.16.57, part2

Equivalent Excel functions:
SECH