Documentation/Calc Functions/SECH
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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:
[math]\displaystyle{ \text{sech}(x)~=~\frac{1}{\cosh(x)}~=~\frac{2}{e^x+e^{-x}} }[/math]
The figure below illustrates the function SECH.
Examples:
| Formula | Description | Returns |
|---|---|---|
| =SECH(1) | Hyperbolic secant of 1. | 0.648054273663885 |
| =SECH(D1) where cell D1 contains the number -2. | Hyperbolic secant of -2. | 0.26580222883408 |
Related LibreOffice functions:
ODF standard:
Related (or similar) Excel functions:
SECH since v.2013.