JavaScript | Math.acosh() function

The Math.acosh() function is an inbuit function in JavaScript which is used to get hyperbolic arc-cosine of a number.
The hyperbolic arc-cosine is known with many names such as hyperbolic inverse cosine and acosh.It is inverse of the hyperbolic cosine function i.e, The inverse hyperbolic cosine of any value say x is the value y for which the hyperbolic cosine of y is x.

if y = acosh(x)
then x = cosh(y)

For all x≥1,
we have acosh(x)=ln(x+√ x²-1 )

Syntax:

Math.acosh(x)

Parameters:

• Here x is a number whose hyperbolic arc-cosine is going to be calculated.

Return value:

• It returns the hyperbolic arc-cosine of the given number.If the number is less than 1, it return NaN i.e, not a number.

Browser Support:

• Here 2nd column contain int values which are version of the corresponding browser.
  

  Feature	Basic support
  Chrome	38
  Edge	Yes
  Firefox	25
  Internet Explorer	No
  Opera	25
  Safari	8
  Android webview	Yes
  Chrome for Android	Yes
  Edge mobile	Yes
  Firefox for Android	25
  Opera Android	Yes
  iOS Safari	8

Examples:

Input: Math.acosh(1)

Output: 0

Explanaition:
Here output 0 is the hyperbolic arc-cosine of a number 1.

Input: Math.acosh(2)

Output: 1.3169578969248166

Input: Math.acosh(3)

Output: 1.7627471740390859

Let\’s see JavaScripts program:

Output:

> 1.3169578969248166
> 0
> 1.7627471740390859
> 2.993222846126381

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 arc-cosine. console.log(Math.acosh(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.acosh("geeksforgeeks")); console.log(Math.acosh("gfg"));

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   Output:

   > NaN
   > NaN
   

Application:

• Whenever we need to get a get hyperbolic arc-cosine of a number that time we can take help of Math.acosh() function in JavaScript.
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  // Here different values is being used for getting // hyperbolic cosine function's values. console.log(Math.acosh(5)); console.log(Math.acosh(12));

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  Output:

  > 2.2924316695611777
  > 3.176313180591656
  

Kanchan_Ray

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