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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

FeatureChromeEdgeFirefoxInternet ExplorerOperaSafari
Basic support38 Yes25 No258
FeatureAndroid webviewChrome for AndroidEdge mobileFirefox for AndroidOpera AndroidiOS SafariSamsung Internet
Basic support Yes Yes Yes25 Yes8 ?

See also

Document Tags and Contributors

 Last updated by: wbamberg,