JavaScript Math atanh()

atanh() Syntax

The syntax of the Math.atanh() method is:

Math.atanh(number)

Here, atanh() is a static method. Hence, we are accessing the method using the class name, Math.

atanh() Parameter

The atanh() method takes a single parameter:

• number - between -1 and 1 whose hyperbolic arctangent is to be calculated

Math.atanh() Return Value

The atanh() method returns:

• hyperbolic arctangent of the argument number
• NaN (Not a Number) if the argument is either non-numeric or greater than 1 or less than -1

Example 1: JavaScript Math.atanh() with argument between -1 and 1

In the above example,

• Math.atanh(0) - computes the hyperbolic arctangent of 0
• Math.atanh(0.5) - computes the hyperbolic arctangent of 0.5

Note: Hyperbolic arctangent i.e, atanh(number) is a unique number 'x' in the range [-1, 1] such that tanh(x) = number.

Example 2: Math.atanh() for Argument not in the Range -1 to 1

The atanh() method returns NaN because both the arguments 2 and -4 are not in the range -1 and 1.

Example 3: Math.atanh() for Arguments -1 and 1

The atanh() method returns:

• Infinity - if the argument is 1
• -Infinity - if the argument is -1

Example 4: Math.atanh() with Non-Numeric Arguments

In the above example, we have tried to calculate the hyperbolic arctangent of the string "Harry". Hence, we get NaN as the output.

Recommended readings:

• JavaScript Math tanh()
• JavaScript Math.atan()
• JavaScript Math asinh()