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.

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

collapse all

Graph the inverse hyperbolic tangent over the domain .

x = -0.99:0.01:0.99; 
plot(x,atanh(x))
grid on
xlabel('x')
ylabel('y')

More About

collapse all

Inverse Hyperbolic Tangent

For real values x in the domain 1<x<1, the inverse hyperbolic tangent satisfies

tanh1(x)=12log(1+x1x).

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

Extended Capabilities

See Also

| | | | |

Introduced before R2006a