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: 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:

<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> 

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.
<script>

  // complex number can not be calculated as

  //the hyperbolic sine.

  document.write(Math.sinh(1 + 2i));

</script>
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.

<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> 

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:

<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> 

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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