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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