files/en-us/web/javascript/reference/global_objects/math/atanh/index.md

metadata

title: Math.atanh()
short-title: atanh()
slug: Web/JavaScript/Reference/Global_Objects/Math/atanh
page-type: javascript-static-method
browser-compat: javascript.builtins.Math.atanh
sidebar: jsref

The Math.atanh() static method returns the inverse hyperbolic tangent of a number. That is,

{{InteractiveExample("JavaScript Demo: Math.atanh()")}}

console.log(Math.atanh(-1));
// Expected output: -Infinity

console.log(Math.atanh(0));
// Expected output: 0

console.log(Math.atanh(0.5));
// Expected output: 0.549306144334055 (approximately)

console.log(Math.atanh(1));
// Expected output: Infinity

Syntax

Math.atanh(x)

Parameters

• x
  • : A number between -1 and 1, inclusive.

Return value

The inverse hyperbolic tangent of x. If x is 1, returns {{jsxref("Infinity")}}. If x is -1, returns -Infinity. If x is less than -1 or greater than 1, returns {{jsxref("NaN")}}.

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

Specifications

{{Specifications}}

Browser compatibility

{{Compat}}

See also

• Polyfill of Math.atanh in core-js
• es-shims polyfill of Math.atanh
• {{jsxref("Math.acosh()")}}
• {{jsxref("Math.asinh()")}}
• {{jsxref("Math.cosh()")}}
• {{jsxref("Math.sinh()")}}
• {{jsxref("Math.tanh()")}}