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

metadata

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

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

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

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

console.log(Math.cosh(0));
// Expected output: 1

console.log(Math.cosh(1));
// Expected output: 1.543080634815244 (approximately)

console.log(Math.cosh(-1));
// Expected output: 1.543080634815244 (approximately)

console.log(Math.cosh(2));
// Expected output: 3.7621956910836314

Syntax

Math.cosh(x)

Parameters

• x
  • : A number.

Return value

The hyperbolic cosine of x.

Description

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

Examples

Using Math.cosh()

Math.cosh(-Infinity); // Infinity
Math.cosh(-1); // 1.5430806348152437
Math.cosh(-0); // 1
Math.cosh(0); // 1
Math.cosh(1); // 1.5430806348152437
Math.cosh(Infinity); // Infinity

Specifications

{{Specifications}}

Browser compatibility

{{Compat}}

See also

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