numpy.arctan() in Python

numpy.arctan(x[, out]) = ufunc ‘arctan’) : This mathematical function helps user to calculate inverse tangent for all x(being the array elements).

Parameters :

array : [array_like]elements are in radians.
out   : [array_like]array of same shape as x.

Note :

2pi Radians = 360 degrees
The convention is to return the angle z whose real part lies in [-pi/2, pi/2].

Return :

An array with inverse tangent of x
for all x i.e. array elements. 

The values are in the closed interval [-pi/2, pi/2].

Code #1 : Working

# Python program explaining
# arctan() function

import numpy as np

in_array = [0, 1, 0.3, -1]
print ("Input array : \n", in_array)

arctan_Values = np.arctan(in_array)
print ("\nInverse Tangent values : \n",
                            arctan_Values)

Output :

Input array : 
 [0, 1, 0.3, -1]

Inverse Tangent values : 
 [ 0.          0.78539816  0.29145679 -0.78539816]

Code #2 : Graphical representation

# Python program showing
# Graphical representation
# of arctan() function

import numpy as np
import matplotlib.pyplot as plt

in_array = np.linspace(-np.pi, np.pi, 12)
out_array1 = np.tan(in_array)
out_array2 = np.arctan(in_array)

print("in_array : ", in_array)
print("\nout_array with tan : ", out_array1)
print("\nout_arraywith arctan : ", out_array1)

# red for numpy.arccos()
plt.plot(in_array, out_array1,
            color = 'blue', marker = "*")

plt.plot(in_array, out_array2,
            color = 'red', marker = "o")

plt.title("blue : numpy.tan() \nred : numpy.arctan()")
plt.xlabel("X")
plt.ylabel("Y")
plt.show()

Output :

in_array :  [-3.14159265 -2.57039399 -1.99919533 -1.42799666 -0.856798   -0.28559933
  0.28559933  0.856798    1.42799666  1.99919533  2.57039399  3.14159265]

out_array with tan :  [  1.22464680e-16   6.42660977e-01   2.18969456e+00  -6.95515277e+00
  -1.15406152e+00  -2.93626493e-01   2.93626493e-01   1.15406152e+00
   6.95515277e+00  -2.18969456e+00  -6.42660977e-01  -1.22464680e-16]

out_arraywith arctan :  [  1.22464680e-16   6.42660977e-01   2.18969456e+00  -6.95515277e+00
  -1.15406152e+00  -2.93626493e-01   2.93626493e-01   1.15406152e+00
   6.95515277e+00  -2.18969456e+00  -6.42660977e-01  -1.22464680e-16]