# 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)```

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