JavaScript Math.asinh() Method

The Math.asinh() method in JavaScript is used to calculate the inverse hyperbolic sine (also known as arcsinh) of a number. Mathematically, it calculates the value "y" such that sinh(y) = x, where x is the input value. The result is returned in radians.

The formula for the inverse hyperbolic sine function is −

asinh(x) = ln(x + &Sqrt;(x^2 + 1))

Here, "x" The input value for which we want to find the inverse hyperbolic sine.

Syntax

Following is the syntax of JavaScript Math.asinh() method −

Math.asinh(x)

Parameters

This method accepts only one parameter. The same is described below −

x: A numeric value.

Return value

This method returns the hyperbolic arcsine of the given number.

Example 1

In the following example, we are using the JavaScript Math.asinh() method to return the inverse hyperbolic sine of 1 and -1 −

<html>
<body>
<script>
   const result1 = Math.asinh(1);
   const result2 = Math.asinh(-1);
   document.write(result1, "<br>", result2);
</script>
</body>
</html>

Output

If we execute the above program, it returns 0.8813 and -0.8813.

Example 2

Here, we are calculating the inverse hyperbolic sine of 0 and -0 −

<html>
<body>
<script>
   const result1 = Math.asinh(0);
   const result2 = Math.asinh(-0);
   document.write(result1, "<br>", result2);
</script>
</body>
</html>

Output

If we execute the program, it returns 0 as result.

Example 3

If we provide Infinity and -Infinity as arguments, it returns Infinity and -Infinity, respectively −

<html>
<body>
<script>
   const result1 = Math.asinh(Infinity);
   const result2 = Math.asinh(-Infinity);
   document.write(result1, "<br>", result2);
</script>
</body>
</html>

Output

After executing the program, it returns Infinity and -Infinity, respectively.