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:

// 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)); 

Output:

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

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.
// complex number can not be calculated as the hyperbolic sine.

console.log(Math.sinh(1 + 2i));
Output:
```
Error: Invalid or unexpected token
```

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.

// 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")); 

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.

// 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>"; 
} 

Output:

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

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