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    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.


    The Math.tanh() function returns the hyperbolic tangent of a number, that is

    tanhx=sinhxcoshx=ex-e-xex+e-x=e2x-1e2x+1\tanh x = \frac{\sinh x}{\cosh x} = \frac {e^x - e^{-x}} {e^x + e^{-x}} = \frac{e^{2x} - 1}{e^{2x}+1}




    A number.


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


    Example: Using Math.tanh()

    Math.tanh(0);        // 0
    Math.tanh(Infinity); // 1
    Math.tanh(1);        // 0.7615941559557649


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

    Math.tanh = Math.tanh || function(x) {
      if (x === Infinity) {
        return 1;
      } else if (x === -Infinity) {
        return -1;
      } else {
        return (Math.exp(x) - Math.exp(-x)) / (Math.exp(x) + Math.exp(-x));

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

    Math.tanh = Math.tanh || function(x) {
      if (x === Infinity) {
        return 1;
      } else if (x === -Infinity) {
        return -1;
      } else {
        var y = Math.exp(2 * x);
        return (y - 1) / (y + 1);


    Specification Status Comment
    ECMAScript 6 (ECMA-262)
    The definition of 'Math.tanh' 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:, Mingun, realityking, fscholz, kchapelier
    Last updated by: Mingun,