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    Math.asinh()

    This is a new technology, part of the ECMAScript 2015 (ES6) standard .
    This technology's specification has been finalized, but check the compatibility table for usage and implementation status in various browsers.

    Summary

    The Math.asinh() function returns the hyperbolic arcsine of a number, that is

    Math.asinh(x)=arsinh(x)= the unique ysuch thatsinh(y)=x\mathtt{\operatorname{Math.asinh}(x)} = \operatorname{arsinh}(x) = \text{ the unique } \; y \; \text{such that} \; \sinh(y) = x

    Syntax

    Math.asinh(x)

    Parameters

    x
    A number.

    Description

    Because asinh() is a static method of Math, you always use it as Math.asinh(), rather than as a method of a Math object you created (Math is not a constructor).

    Examples

    Example: Using Math.asinh()

    Math.asinh(1);  // 0.881373587019543
    Math.asinh(0);  // 0
    

    Polyfill

    We have arsinh(x)=ln(x+x2+1)\operatorname {arsinh} (x) = \ln \left(x + \sqrt{x^{2} + 1} \right) and so this can be emulated by the following function:

    Math.asinh = Math.asinh || function(x) {
      if (x === -Infinity) {
        return x;
      } else {
        return Math.log(x + Math.sqrt(x * x + 1));
      }
    };
    

    Specifications

    Specification Status Comment
    ECMAScript 2015 (6th Edition, ECMA-262)
    The definition of 'Math.asinh' in that specification.
    Standard 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: fscholz, fred.wang, kchapelier, Mingun, realityking
    Last updated by: Mingun,