Math.atanh()

The Math.atanh() function returns the hyperbolic arctangent of a number, that is

x ( - 1 , 1 ) , Math.atanh ( x ) = arctanh ( x ) = the unique y such that tanh ( y ) = x \forall x \in \left( -1, 1 \right), \mathtt{\operatorname{Math.atanh}(x)} = \operatorname{arctanh}(x) = \text{ the unique } ; y ; \text{such that} ; \tanh(y) = x

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Syntax

Math.atanh(x)

Parameters

x

A number.

Return value

The hyperbolic arctangent of the given number.

Description

Because atanh() is a static method of Math, you always use it as Math.atanh(), rather than as a method of a Math object you created (Math is not a constructor).

Examples

Using Math.atanh()

Math.atanh(-2);  // NaN
Math.atanh(-1);  // -Infinity
Math.atanh(0);   // 0
Math.atanh(0.5); // 0.5493061443340548
Math.atanh(1);   // Infinity
Math.atanh(2);   // NaN

For values greater than 1 or less than -1, NaN is returned.

Specifications

Specification
ECMAScript Language Specification
# sec-math.atanh

Browser compatibility

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See also