acosh

Inverse hyperbolic cosine

Syntax

Y = acosh(X)

Description

Y = acosh(X) returns the inverse hyperbolic cosine for each element of X.

The acosh 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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Graph of Inverse Hyperbolic Cosine Function

Graph the inverse hyperbolic cosine function over the domain .

x = 1:pi/40:pi; plot(x,acosh(x)), grid on 

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Inverse Hyperbolic Cosine

The inverse hyperbolic cosine can be defined as

${\mathrm{cosh}}^{-1}\left(z\right)=\mathrm{log}\left[z+{\left({z}^{2}-1\right)}^{1/2}\right].$