JavaScript | Math.cosh() function

Math.cosh() is an inbuilt function in JavaScript which is used to calculate the value of hyperbolic cosine of a number.

Syntax:

Math.cosh(p)

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

    Returns: It returns the calculated value of hyperbolic cosine of the number.

Examples:

Input  : Math.cosh(0)
Output : 1

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

 \frac{e^{p} + e^{-p}}{2} = \frac{e^{0} + e^{-0}}{2}

 =\frac{1+1}{2}
 = 1

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

Input  :Math.cosh(12)
Output :81377.39571257407

Explanation:
Here same as above calculation, when we put 12 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 cosine of some numbers
      // taken as paramter of Math.cosh() function.
      document.write(Math.cosh(0) + "<br>");
      document.write(Math.cosh(1) + "<br>");
      document.write(Math.cosh(0) + "<br>");
      document.write(Math.cosh(22) + "<br>");
      document.write(Math.cosh(-2) + "<br>");
      document.write(Math.cosh(4));
    </script>

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    Output:

     1
     1.5430806348152437
     1
     1792456423.065796
     3.7621956910836314
     27.308232836016487
    
  • Example 2: Errors and Exceptions, 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 cosine.
      document.write(Math.cosh(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.cosh("geeksforgeeks") + "<br>");
      document.write(Math.cosh("gfg"));                 
    </script>

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    Output:

    NaN
    NaN
    
  • Application: Its practical application is that whenever we need to find the value of hyperbolic cosine of a number that time we take the help of Math.cosh() function in JavaScript.
    Example:

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    <script>
      // Printing hyperbolic cosine of some numbers from 0 to 9
      // taken as paramter of Math.cosh() function.
      for (i = 0; i < 10; i++) {
          document.write(Math.cosh(i) + "<br>");
      }
    </script>

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    Output:

    1
    1.5430806348152437
    3.7621956910836314
    10.067661995777765
    27.308232836016487
    74.20994852478785
    201.7156361224559
    548.317035155212
    1490.479161252178
    4051.5420254925943

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

    • Google Chrome 38.0
    • Internet Explorer 12.0
    • Firefox 25.0
    • Opera 25.0
    • Safari 8.0


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