**cmath.atanh() Method in Python:**

The cmath.atanh() method returns the complex number’s inverse hyperbolic tangent.

There are two types of branch cuts:

- Extends along the real axis from 1 to ∞, and is continuous from below.
- Extends along the real axis from -1 to -∞, and is continuous from above.

**Syntax:**

cmath.atanh(x)

**Parameters**

**x:** This is Required. It is a number used to calculate the inverse hyperbolic arctangent of

**Return Value:**

Returns a complex value that represents the complex number’s inverse hyperbolic tangent.

**Examples:**

**Example1:**

**Input:**

Given Complex Number = 3-4j

**Output:**

The given complex number's (3-4j) inverse hyperbolic tangent value = (0.1175009073114339-1.4099210495965755j)

**Example2:**

**Input:**

Given realpart = 5 Given imaginary part = 3

**Output:**

The given complex number's (5+3j) inverse hyperbolic tangent value = (0.14694666622552977+1.4808695768986575j)

**Note:** The above input format is for dynamic input.

## cmath.atanh() Method with Examples in Python

### Method #1: Using Built-in Functions (Static Input)

**Approach:**

- Import cmath module(for complex number operations) using the import keyword.
- Give the complex number as static input and store it in a variable.
- Pass the given complex number as an argument to the cmath.atanh() method that returns the given complex number’s inverse hyperbolic tangent value.
- Store it in another variable.
- Print the inverse hyperbolic tangent value of the given complex number.
- The Exit of the Program.

**Below is the implementation:**

# Import cmath module(for complex number operations) using the import keyword. import cmath # Give the complex number as static input and store it in a variable. complexnumb = 3-4j # Pass the given complex number as an argument to the cmath.atanh() method that # returns the given complex number's inverse hyperbolic tangent value. # Store it in another variable. rslt = cmath.atanh(complexnumb) # Print the inverse hyperbolic tangent value of the given complex number. print("The given complex number's", complexnumb, "inverse hyperbolic tangent value = ") print(rslt)

**Output:**

The given complex number's (3-4j) inverse hyperbolic tangent value = (0.1175009073114339-1.4099210495965755j)

### Method #2: Using Built-in Functions (User Input)

**Approach:**

- Import cmath module(for complex number operations) using the import keyword.
- Give the real part and imaginary part of the complex number as user input using map(), int(), split().
- Store it in two variables.
- Using a complex() function convert those two variables into a complex number and store it in a variable.
- Pass the given complex number as an argument to the cmath.atanh() method that returns the given complex number’s inverse hyperbolic tangent value.
- Store it in another variable.
- Print the inverse hyperbolic tangent value of the given complex number.
- The Exit of the Program.

**Below is the implementation:**

# Import cmath module(for complex number operations) using the import keyword. import cmath # Give the real part and imaginary part of the complex number as user input # using map(), int(), split(). # Store it in two variables. realnumb, imaginarynumb = map(int, input( 'Enter real part and complex part of the complex number = ').split()) # Using a complex() function convert those two variables into a complex number. complexnumb = complex(realnumb, imaginarynumb) # Pass the given complex number as an argument to the cmath.atanh() method that # returns the given complex number's inverse hyperbolic tangent value. # Store it in another variable. rslt = cmath.atanh(complexnumb) # Print the inverse hyperbolic tangent value of the given complex number. print("The given complex number's", complexnumb, "inverse hyperbolic tangent value = ") print(rslt)

**Output:**

Enter real part and complex part of the complex number = 5 3 The given complex number's (5+3j) inverse hyperbolic tangent value = (0.14694666622552977+1.4808695768986575j)