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}




A number.

Return value

The hyperbolic cosine of the given number.


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).


Using Math.cosh()

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


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;


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

Browser compatibility

Update compatibility data on GitHub
ChromeEdgeFirefoxInternet ExplorerOperaSafariAndroid webviewChrome for AndroidFirefox for AndroidOpera for AndroidSafari on iOSSamsung InternetNode.js
coshChrome Full support 38Edge Full support 12Firefox Full support 25IE No support NoOpera Full support 25Safari Full support 8WebView Android Full support YesChrome Android Full support YesFirefox Android Full support 25Opera Android Full support YesSafari iOS Full support 8Samsung Internet Android Full support Yesnodejs Full support 0.12


Full support  
Full support
No support  
No support

See also

Document Tags and Contributors

Last updated by: mdnwebdocs-bot,