In the previous article, we have discussed Python Program for atan() Function

**atan2() Function in Python:**

The arc tangent of y/x in radians is returned by the math.atan2() method. In this equation, x and y are the coordinates of a point (x,y).

The value returned is between PI and -PI. (where PI=22/7)

**Syntax:**

math.atan2(y, x)

**Parameters:**

**y:** This is required. It is a number (cartesian y coordinate). Indicates whether the number is positive or negative.

**x:** This is required. It is a number (cartesian x coordinate). Indicates whether the number is positive or negative.

**Return Value:**

Returns a float representing the arc tangent of y/x in radians between PI and -PI.

**Note:** If we pass non-numeric values to the atan2 function, it will return TypeError as output.

**Examples:**

**Example1:**

**Input:**

Given y coordinate = 2 Given x coordinate = 4

**Output:**

The result after applying atan2() function on above given y and x coordinates { 2 , 4 } = 0.4636476090008061

**Example2:**

**Input:**

Given y coordinate = 1 Given x coordinate = 3

**Output:**

The result after applying atan2() function on above given y and x coordinates { 1 , 3 } = 0.3217505543966422

## Program for atan2() Function in Python

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

**Approach:**

- Import math module using the import keyword.
- Give the list as static input and store it in a variable.
- Give the y-coordinate as static input and store it in another variable.
- Give the x-coordinate as static input and store it in another variable.
- Apply math.atan2() function to the given y-coordinate and the x-coordinate to get the value of arc tangent of given y-coordinate/x-coordinate in radians.
- Store it in another variable.
- Print the above result which is the result after applying math.atan2() function.
- Give the number as static input and store it in another variable.
- Apply math.atan2() function to the given list element and above-given number and print it.
- The Exit of Program.

**Below is the implementation:**

# Import math module using the import keyword. import math # Give the list as static input and store it in a variable. gvn_lst = [1, -2, 4, 0] # Give the y-coordinate as static input and store it in another variable. gvn_ycoordinte = 2 # Give the x-coordinate as static input and store it in another variable. gvn_xcoordinte = 4 # Apply math.atan2() function to the given y-coordinate and the x-coordinate # to get the value of arc tangent of given the y-coordinate/x-coordinate in radians. # Store it in another variable. fnl_rslt = math.atan2(gvn_ycoordinte, gvn_xcoordinte) # Print the above result which is the result after applying math.atan2() function. print("The result after applying atan2() function on above given y and x coordinates {", gvn_ycoordinte, ",", gvn_xcoordinte, "} = ", fnl_rslt) # Give the number as static input and store it in another variable. gvn_numb3 = 2 # Apply math.atan2() function to the given list element and above given number # and print it. print("The result after applying atan2() function on the given list element gvn_lst[1] and above given number = ", math.atan2( gvn_lst[1], gvn_numb3))

**Output:**

The result after applying atan2() function on above given y and x coordinates { 2 , 4 } = 0.4636476090008061 The result after applying atan2() function on the given list element gvn_lst[1] and above given number = -0.7853981633974483

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

**Approach:**

- Import math module using the import keyword.
- Give the list as user input using list(),map(),input(),and split() functions.
- Store it in a variable.
- Give y-coordinate and x-coordinate respectively as user input using int(), map(), input(), and split() functions.
- Store them in two separate variables.
- Apply math.atan2() function to the given y-coordinate and the x-coordinate to get the value of arc tangent of given y-coordinate/x-coordinate in radians.
- Store it in another variable.
- Print the above result which is the result after applying math.atan2() function.
- Give the number as user input using the int(input()) function and store it in another variable.
- Apply math.atan2() function to the given list element and above-given number and print it.
- The Exit of Program.

**Below is the implementation:**

# Import math module using the import keyword. import math # Give the list as user input using list(),map(),input(),and split() functions. # Store it in a variable. gvn_lst = list(map(int, input( 'Enter some random List Elements separated by spaces = ').split())) # Give y-coordinate and x-coordinate respectively as user input using # int(), map(), input(), and split() functions. gvn_ycoordinte, gvn_xcoordinte = map(int, input( "Enter two random numbers separated by spaces = ").split()) # Apply math.atan2() function to the given y-coordinate and the x-coordinate # to get the value of arc tangent of given the y-coordinate/x-coordinate in radians. # Store it in another variable. fnl_rslt = math.atan2(gvn_ycoordinte, gvn_xcoordinte) # Print the above result which is the result after applying math.atan2() function. print("The result after applying atan2() function on above given y and x coordinates {", gvn_ycoordinte, ",", gvn_xcoordinte, "} = ", fnl_rslt) # Give the number as user input using the int(input()) function and # store it in another variable. gvn_numb3 = int(input("Enter some random number = ")) # Apply math.atan2() function to the given list element and above given number # and print it. print("The result after applying atan2() function on the given list element gvn_lst[2] and above given number = ", math.atan2( gvn_lst[2], gvn_numb3))

**Output:**

Enter some random List Elements separated by spaces = 4 5 2 1 0 Enter two random numbers separated by spaces = 1 3 The result after applying atan2() function on above given y and x coordinates { 1 , 3 } = 0.3217505543966422 Enter some random number = 2 The result after applying atan2() function on the given list element gvn_lst[2] and above given number = 0.7853981633974483

Know all about Mathematical Functions in Python by going through our Python Mathematical Methods Examples well explained step by step.