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
.