Math.cosh()

The Math.cosh() function returns the hyperbolic cosine of a number, that can be expressed using the constant e:

Math.cosh(x)=ex+e-x2\mathtt{\operatorname{Math.cosh(x)}} = \frac{e^x + e^{-x}}{2}

Syntax

Math.cosh(x)

Parameters

x
A number.

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

Polyfill

This can be emulated with the help of the Math.exp() function:

Math.cosh = Math.cosh || function(x) {
  return (Math.exp(x) + Math.exp(-x)) / 2;
}

or using only one call to the Math.exp() function:

Math.cosh = Math.cosh || function(x) {
  var y = Math.exp(x);
  return (y + 1 / y) / 2;
};

Specifications

Specification Status Comment
ECMAScript 2015 (6th Edition, ECMA-262)
The definition of 'Math.cosh' in that specification.
Standard Initial definition.
ECMAScript 2017 Draft (ECMA-262)
The definition of 'Math.cosh' in that specification.
Draft  

Browser compatibility

Feature Chrome Firefox (Gecko) Internet Explorer Opera Safari
Basic support 38 25 (25) No support 25 7.1
Feature Android Chrome for Android Firefox Mobile (Gecko) IE Mobile Opera Mobile Safari Mobile
Basic support No support No support 25.0 (25) No support No support 8

See also

Document Tags and Contributors

 Contributors to this page: fscholz, Mingun, realityking, oztro, fred.wang
 Last updated by: fscholz,