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    Math.acosh()

    This is an experimental technology, part of the ECMAScript 6 (Harmony) proposal.
    Because this technology's specification has not stabilized, check the compatibility table for usage in various browsers. Also note that the syntax and behavior of an experimental technology is subject to change in future version of browsers as the spec changes.

    Summary

    The Math.acosh() function returns the hyperbolic arccosine of a number, that is

    x1,Math.acosh(x)=arcosh(x)= the unique y0such thatcosh(y)=x\forall x \geq 1, \mathtt{\operatorname{Math.acosh}(x)} = \operatorname{arcosh}(x) = \text{ the unique } \; y \geq 0 \; \text{such that} \; \cosh(y) = x

    Syntax

    Math.acosh(x)

    Parameters

    x
    A number.

    Description

    Because acosh() is a static method of Math, you always use it as Math.acosh(), rather than as a method of a Math object you created (Math is no constructor).

    Examples

    Example: Using Math.acosh()

    Math.acosh(-1); // NaN
    Math.acosh(0);  // NaN
    Math.acosh(0.5) // NaN
    Math.acosh(1);  // 0
    Math.acosh(2);  // 1.3169578969248166
    

    For values less than 1 Math.acosh() returns NaN.

    Polyfill

    For all x1x \geq 1, we have arcosh(x)=ln(x+x2-1)\operatorname {arcosh} (x) = \ln \left(x + \sqrt{x^{2} - 1} \right) and so this can be emulated with the following function:

    Math.acosh = Math.acosh || function(x) {
      return Math.log(x + Math.sqrt(x * x - 1));
    };
    

    Specifications

    Specification Status Comment
    ECMAScript 6 (ECMA-262)
    The definition of 'Math.acosh' in that specification.
    Release Candidate Initial definition.

    Browser compatibility

    Feature Chrome Firefox (Gecko) Internet Explorer Opera Safari
    Basic support 38 25 (25) Not supported 25 7.1
    Feature Android Chrome for Android Firefox Mobile (Gecko) IE Mobile Opera Mobile Safari Mobile
    Basic support Not supported Not supported 25.0 (25) Not supported Not supported iOS 8

    See also

    Document Tags and Contributors

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