This is machine translation

Translated by Microsoft
Mouseover text to see original. Click the button below to return to the English version of the page.

Note: This page has been translated by MathWorks. Click here to see
To view all translated materials including this page, select Country from the country navigator on the bottom of this page.


Hyperbolic secant


Y = sech(X)



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.


collapse all

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);
grid on

Input Arguments

collapse all

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

Data Types: single | double
Complex Number Support: Yes

More About

collapse all

Hyperbolic Secant

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


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


Extended Capabilities

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

See Also

| | |

Introduced before R2006a