Python Program for atan2() Function

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

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.