# atan2() function in Python

atan2(y, x) returns value of atan(y/x) in radians. The atan2() method returns a numeric value between – and representing the angle of a (x, y) point and positive x-axis. Syntax :
atan2(y, x)
Parameter :
(y, x) - Both must be a numeric value.
Returns :
Returns atan(y / x), in radians.
The double value is  from polar coordinate (r, theta). 
TypeError :
Returns a TypeError if anything other than float is passed.
Code #1 :
 # Let's find the slope when X # and Y co-ordinates are given    # imports math  import math   # X and Y are co-ordinates X = 2; Y = 2   # slope in radians  theta1 = math.atan2(Y, X)    # print the Slope in radians print(theta1)

Output :
atan2(-0.5, -0.5): -2.356194490192345
atan2(1.2, 1.5): 0.6747409422235526
atan2(1.2, -1.5): 2.4668517113662407

Code #2 :

Output :
0.16514867741462683
0.5880026035475675
0.40489178628508343
0.4636476090008061

Code #3 : Program demonstrating the error
 # Python3 program to demonstrate the   # TypeError in atan() method    # importing math  import math   y, x = 3, 6  # when integer values are passed  # it returns a TypeError theta = math.atan2([y], [x])  print(theta)

Output :
Traceback (most recent call last):
File "/home/622586ab389561bcdbfff258aca01e65.py", line 9, in
theta = math.atan2([y],[x])
TypeError: a float is required

Practical Application : This function is used to find the slope in radians when Y and X co-ordinates are given. Code #4 :
 # Let's find the slope when X # and Y co-ordinates are given    # imports math  import math   # X and Y are co-ordinates X = 2; Y = 2   # slope in radians  theta1 = math.atan2(Y, X)    # print the Slope in radians print(theta1)

Output :
0.7853981633974483


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