JavaScript | Math.sinh() function

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

Math.sinh(p)

    Parameter:

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

  • It returns the calculated value of the hyperbolic sine of the number.

Examples:

Input:
Math.sinh(0)
Output: 0

Explanation:
Here formula for calculating hyperbolic sine of any number is : The number e is a mathematical constant having an approximate value equal to 2.718.



  e^p-e^-^p/2

 = e^0-e^-^0/2

 = 1-1/2

 = 0

In the same way hyperbolic sine of any number can be calculated just after replacing p with the desired number.

Input:
Math.sinh(15)
Output: 1634508.6862359024

Explanation:
Here same as above calculation, when we put 15 instead of p then the value becomes as output shown above.
Let’s see some JavaScript code:

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// Printing hyperbolic sine of some numbers
// taken as parameter of Math.sinh() function.
console.log(Math.sinh(0));
console.log(Math.sinh(1));
console.log(Math.sinh(5));
console.log(Math.sinh(22));
console.log(Math.sinh(-2));
console.log(Math.sinh(4));

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Output:

> 0
> 1.1752011936438014
> 74.20321057778875
> 1792456423.065796
> -3.626860407847019
> 27.28991719712775

    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 sine.
    console.log(Math.sinh(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.sinh("geeksforgeeks"));
    console.log(Math.sinh("gfg"));

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    Output:

    > NaN
    > NaN

    Application:

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

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    Output:

    > 0
    > 1.1752011936438014
    > 3.626860407847019
    > 10.017874927409903
    > 27.28991719712775
    > 74.20321057778875
    > 201.71315737027922
    > 548.3161232732465
    > 1490.4788257895502
    > 4051.54190208279


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