numpy.arcsin() in Python

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

Parameters :

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

Return :

An array with inverse sine 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 
# arcsin() function 
  
import numpy as np 
  
in_array = [0, 1, 0.3, -1] 
print ("Input array : \n", in_array) 
  
arcsin_Values = np.arcsin(in_array) 
print ("\nInverse Sine values : \n", arcsin_Values) 

Output :

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

Inverse Sine values : 
 [ 0.          1.57079633  0.30469265 -1.57079633]

Code #2 : Graphical representation

# Python program showing 
# Graphical representation of  
# arcsin() function 
  
import numpy as np 
import matplotlib.pyplot as plt 
  
in_array = np.linspace(-np.pi, np.pi, 12) 
out_array1 = np.sin(in_array) 
out_array2 = np.arcsin(in_array) 
  
print("in_array : ", in_array) 
print("\nout_array with sin : ", out_array1) 
print("\nout_arraywith arcsin : ", out_array1) 
  
# red for numpy.arcsin() 
plt.plot(in_array, out_array1, 
            color = 'blue', marker = "*") 
              
plt.plot(in_array, out_array2, 
            color = 'red', marker = "o") 
              
plt.title("blue : numpy.sin() \nred : numpy.arcsin()") 
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 sin :  [ -1.22464680e-16  -5.40640817e-01  -9.09631995e-01  -9.89821442e-01
  -7.55749574e-01  -2.81732557e-01   2.81732557e-01   7.55749574e-01
   9.89821442e-01   9.09631995e-01   5.40640817e-01   1.22464680e-16]

out_arraywith arcsin :  [ -1.22464680e-16  -5.40640817e-01  -9.09631995e-01  -9.89821442e-01
  -7.55749574e-01  -2.81732557e-01   2.81732557e-01   7.55749574e-01
   9.89821442e-01   9.09631995e-01   5.40640817e-01   1.22464680e-16]
RuntimeWarning: invalid value encountered in arcsin
  out_array2 = np.arcsin(in_array)

References :
https://docs.scipy.org/doc/numpy-dev/reference/generated/numpy.arcsin.html#numpy.arcsin
.

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