numpy.arctan() in Python
Last Updated :
07 Mar, 2024
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
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)
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Output :
Input array :
[0, 1, 0.3, -1]
Inverse Tangent values :
[ 0. 0.78539816 0.29145679 -0.78539816]
Code #2 : Graphical representation
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)
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()
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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]
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