sech

Hyperbolic secant

Syntax

Y = sech(X)

Description

example

Y = sech(X) returns the hyperbolic secant of the elements of X. The sech function operates element-wise on arrays. The function accepts both real and complex inputs. All angles are in radians.

Examples

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Create a vector and calculate the hyperbolic secant of each value.

X = [0 pi 2*pi 3*pi];
Y = sech(X)
Y = 1×4

    1.0000    0.0863    0.0037    0.0002

Plot the hyperbolic secant over the domain -2πx2π.

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

Input Arguments

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Input angles in radians, specified as a scalar, vector, matrix, or multidimensional array.

Data Types: single | double
Complex Number Support: Yes

More About

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Hyperbolic Secant

The hyperbolic secant of x is equal to the inverse of the hyperbolic cosine

sech(x)=1cosh(x)=2ex+ex.

In terms of the traditional secant function with a complex argument, the identity is

sech(x)=sec(ix).

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

See Also

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Introduced before R2006a