Documentation

asech

Inverse hyperbolic secant

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Syntax

Y = asech(X)

Description

Y = asech(X)returns the inverse hyperbolic secant for each element ofX.

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

Examples

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Open Live Script

Graph the inverse hyperbolic secant over the domain.

x = 0.01:0.001:1; plot(x,asech(x)) gridonxlabel('x') ylabel('y')

More About

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Inverse Hyperbolic Secant

For real values x in the domain 0 < x ≤ 1 , the inverse hyperbolic secant satisfies

双曲正割 − 1 ( x ) = cosh − 1 ( 1 x ) = log ( 1 x + 1 x 2 − 1 ) .

For complex numbers z = x + i y as well as real values in the regions − ∞ < z ≤ 0 and 1 ≤ z < ∞ , the callasech(z)returns complex results.

Extended Capabilities

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

See Also

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Introduced before R2006a

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