---
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,

<!-- prettier-ignore-start -->
<math display="block">
  <semantics><mrow><mrow><mo lspace="0em" rspace="0.16666666666666666em">𝙼𝚊𝚝𝚑.𝚌𝚘𝚜𝚑</mo><mo stretchy="false">(</mo><mi>𝚡</mi><mo stretchy="false">)</mo></mrow><mo>=</mo><mo lspace="0em" rspace="0em">cosh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mfrac><mrow><msup><mi mathvariant="normal">e</mi><mi>x</mi></msup><mo>+</mo><msup><mi mathvariant="normal">e</mi><mrow><mo>−</mo><mi>x</mi></mrow></msup></mrow><mn>2</mn></mfrac></mrow><annotation encoding="TeX">\mathtt{\operatorname{Math.cosh}(x)} = \cosh(x) = \frac{\mathrm{e}^x + \mathrm{e}^{-x}}{2}</annotation></semantics>
</math>
<!-- prettier-ignore-end -->

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

```js interactive-example
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

```js-nolint
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()

```js
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`](https://github.com/zloirock/core-js#ecmascript-math)
- [es-shims polyfill of `Math.cosh`](https://www.npmjs.com/package/math.cosh)
- {{jsxref("Math.acosh()")}}
- {{jsxref("Math.asinh()")}}
- {{jsxref("Math.atanh()")}}
- {{jsxref("Math.sinh()")}}
- {{jsxref("Math.tanh()")}}