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

metadata

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

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

$$𝙼𝚊𝚝𝚑.𝚝𝚊𝚗𝚑(𝚡)=tanh(x)=\frac{sinh(x)}{cosh(x)}=\frac{{\mathrm{e}}^x-{\mathrm{e}}^{-x}}{{\mathrm{e}}^x+{\mathrm{e}}^{-x}}=\frac{{\mathrm{e}}^{2x}-1}{{\mathrm{e}}^{2x}+1}\backslash mathtt\{\backslash operatorname\{Math.tanh\}(x)\}\; =\; \backslash tanh(x)\; =\; \backslash frac\{\backslash sinh(x)\}\{\backslash cosh(x)\}\; =\; \backslash frac\{\backslash mathrm\{e\}^x\; -\; \backslash mathrm\{e\}^\{-x\}\}\{\backslash mathrm\{e\}^x\; +\; \backslash mathrm\{e\}^\{-x\}\}\; =\; \backslash frac\{\backslash mathrm\{e\}^\{2x\}\; -\; 1\}\{\backslash mathrm\{e\}^\{2x\}+1\}$$

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

console.log(Math.tanh(-1));
// Expected output: -0.7615941559557649

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

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

console.log(Math.tanh(1));
// Expected output: 0.7615941559557649

Syntax

Math.tanh(x)

Parameters

• x
  • : A number.

Return value

The hyperbolic tangent of x.

Description

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

Examples

Using Math.tanh()

Math.tanh(-Infinity); // -1
Math.tanh(-0); // -0
Math.tanh(0); // 0
Math.tanh(1); // 0.7615941559557649
Math.tanh(Infinity); // 1

Specifications

{{Specifications}}

Browser compatibility

{{Compat}}

See also

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