# JavaScript | Math.atanh() function

• Last Updated : 16 Jun, 2020

The Math.atanh() function is an inbuilt function in JavaScript which is used to get hyperbolic arctangent of a number.
The hyperbolic arctangent is known by many names such as hyperbolic inverse tangent and atanh. It is inverse of the hyperbolic tangent function i.e, The inverse hyperbolic tangent of any value says x is the value y for which the hyperbolic tangent of y is x.

if y = atanh(x)
then x = tanh(y)

we have, Syntax:

Math.atanh(x)

Parameters:

• Here x is a number whose hyperbolic arctangent is going to be calculated.

Return value:

• It returns the hyperbolic arc-tangent of the given number.

Browser Support:

• Here 2nd column contain int values which are the version of the corresponding browser.
FeatureBasic support
Chrome38
EdgeYes
Firefox25
Internet ExplorerNo
Opera25
Safari8
Android webviewYes
Chrome for AndroidYes
Edge mobileYes
Firefox for Android25
Opera AndroidYes
iOS Safari8

Examples:

Input: Math.atanh(-1)
Output: -Infinity


Explanation:
Here output 0 is the hyperbolic arc-sine of a number 1.

Input: Math.atanh(0)
Output: 0

Input: Math.atanh(0.5)
Output: 0.5493061443340548

Input: Math.atanh(1)
Output: Infinity

Input: Math.atanh(1.2)
Output: NaN

Input: Math.atanh(-2.2)
Output: NaN


For values greater than 1 or less than -1, NaN i.e, not a number is returned.
Let’s see JavaScripts program:

 // Here different values is being used for// getting hyperbolic tangent function's values.console.log(Math.atanh(-1));console.log(Math.atanh(0));console.log(Math.atanh(0.5));console.log(Math.atanh(1));console.log(Math.atanh(1.2));console.log(Math.atanh(-2.2));

Output:

> 0
> 0.5493061443340548
> Infinity
> NaN
> NaN


Application:
Whenever we need to get a get hyperbolic arc-tangent of a number that time we can take help of Math.atanh() function in JavaScript.

 // Here different values is being used for getting// hyperbolic cosine function's values.console.log(Math.atanh(0.1));console.log(Math.atanh(22));

Output:

> 0.10033534773107558
> NaN

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