JavaScript | Math.tanh() function

Math.tanh() is an inbuilt function in JavaScript which is used to calculate the value of hyperbolic tangent of a number.
Syntax:

Math.tanh(p)

Parameter:

  • Here the parameter p is a number for which the value of hyperbolic tangent is going to be calculated.
  • Return value:

  • It returns the calculated value of the hyperbolic tangent of the number.
  • Examples:

    Input:
    Math.tanh(0)
    Output:
    0

    Explanation:
    Here formula for calculating hyperbolic tangent of any number is : The number e is a mathematical constant having an approximate value equal to 2.718.
     tanh(p) = sinh(p)/cosh(p) = e^p-e^-p/e^p+e^-p = e^0-e^-0/e^0+e^-0 = 0
    In the same way hyperbolic tangent of any number can be calculated just after replacing p with the desired number.



    Input:
    Math.tanh(18)
    Output:
    0.9999999999999996

    Explanation:
    Here same as above calculation, when we put 18 instead of p then the value becomes as output shown above.
    Let’s see some JavaScript code:

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    // Printing hyperbolic tangent of some numbers
    // taken as paramter of Math.tanh() function.
    console.log(Math.tanh(0));
    console.log(Math.tanh(1));
    console.log(Math.tanh(5));
    console.log(Math.tanh(22));
    console.log(Math.tanh(-2));
    console.log(Math.tanh(4));

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    Output:

    > 0
    > 0.7615941559557649
    > 0.9999092042625951
    > 1
    > -0.9640275800758169
    > 0.999329299739067

    Errors and Exceptions:
    1. It is an error case because complex number can not be taken as the parameter of the function only integer value can be taken as the parameter.

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    // complex number can not be calculated as the hyperbolic tangent.
    console.log(Math.tanh(1 + 2i));

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    Output:

    Error: Invalid or unexpected token

    2. Other than integer nothing is accepted as the parameter of the function that is why here string as the parameter gives NaN i.e, not a number.

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    // Any string value as the parameter of the function
    // gives NaN i.e, not a number
    // because only number can be used as the parameters.
    console.log(Math.tanh("geeksforgeeks"));
    console.log(Math.tanh("gfg"));

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    Output:

    > NaN
    > NaN

    Application:

  • Its practical application is that whenever we need to find the value of the hyperbolic tangent of a number that time we take the help of Math.tanh() function in JavaScript.
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    // Printing hyperbolic tangent of some numbers from 0 to 9
    // taken as paramter of Math.tanh() function.
    for (i = 0; i < 10; i++) {
        console.log(Math.tanh(i));
        +"<br>";
    }

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    Output:

    > 0
    > 0.7615941559557649
    > 0.9640275800758169
    > 0.9950547536867305
    > 0.999329299739067
    > 0.9999092042625951
    > 0.9999877116507956
    > 0.9999983369439447
    > 0.9999997749296758
    > 0.999999969540041


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