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atanh

Inverse hyperbolic tangent

Syntax

Y = atanh(X)

Description

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

Y = atanh(X) returns the inverse hyperbolic tangent for each element of X.

Examples

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Graph of Inverse Hyperbolic Tangent Function

Graph the inverse hyperbolic tangent over the domain $-1 < x < 1$.

x = -0.99:0.01:0.99;
plot(x,atanh(x)), grid on

More About

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Inverse Hyperbolic Tangent

The inverse hyperbolic tangent can be defined as

tanh1(z)=12log(1+z1z).

See Also

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Introduced before R2006a

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