asech

Inverse hyperbolic secant

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Syntax

Y = asech(X)

Description

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

The asech function 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 Script

Graph the inverse hyperbolic secant over the domain $0.01 \le x \le 1$.

x = 0.01:0.001:1;
plot(x,asech(x))
grid on
xlabel('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

sech−1(x)=cosh−1(1x)=log(1x+1x2−1).

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

Tall Array Support

This function fully supports tall arrays. For more information, see Tall Arrays.

See Also

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Introduced before R2006a

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