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JavaScript | Math.sinh() function
  • Last Updated : 13 Aug, 2019

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: This function accepts a single parameter p is a number for which the value of hyperbolic sine is going to be calculated.

    Returns: 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:

  • Example 1:
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    <script>
      // Printing hyperbolic sine of some numbers
      // taken as parameter of Math.sinh() function.
      document.write(Math.sinh(0) + "<br>");
      document.write(Math.sinh(1) + "<br>");
      document.write(Math.sinh(5) + "<br>");
      document.write(Math.sinh(22) + "<br>");
      document.write(Math.sinh(-2) + "<br>");
      document.write(Math.sinh(4));
    </script>

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    Output:

    0
    1.1752011936438014
    74.20321057778875
    1792456423.065796
    -3.626860407847019
    27.28991719712775
  • Example 2: >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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    <script>
      // complex number can not be calculated as 
      //the hyperbolic sine.
      document.write(Math.sinh(1 + 2i));
    </script>

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    Output:

    Error: Invalid or unexpected token
  • Example 3: 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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    <script>
      // 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.
      document.write(Math.sinh("geeksforgeeks") + "<br>");
      document.write(Math.sinh("gfg"));
    </script>

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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.

  • Example 1:
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    <script>
      // Printing hyperbolic sine of some numbers from 0 to 9
      // taken as parameter of Math.sinh() function.
      for (i = 0; i < 10; i++) {
        document.write(Math.sinh(i) + "<br>");
      }
    </script>

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    Output:

    0
    1.1752011936438014
    3.626860407847019
    10.017874927409903
    27.28991719712775
    74.20321057778875
    201.71315737027922
    548.3161232732465
    1490.4788257895502
    4051.54190208279

Supported Browsers: The browsers supported by JavaScript Math.sinh() function are listed below:

  • Google Chrome
  • Internet Explorer
  • Firefox
  • Opera
  • Safari

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