sech

Hyperbolic secant

Syntax

Y = sech(X)

Description

The sech function operates element-wise on arrays. The function's domains and ranges include complex values. All angles are in radians.

Y = sech(X) returns an array the same size as X containing the hyperbolic secant of the elements of X.

Examples

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Graph of Hyperbolic Secant Function

Graph the hyperbolic secant over the domain .

x = -2*pi:0.01:2*pi; plot(x,sech(x)), grid on 

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Hyperbolic Secant

The hyperbolic secant of z is

$\text{sech}\left(z\right)=\frac{1}{\mathrm{cosh}\left(z\right)}.$