# Get the Trigonometric inverse sin in Python

The arcsin is a multivalued function: for each x there are infinitely many numbers z such that sin(z) = x. The convention is to return the angle z whose real part lies in [-pi/2, pi/2]. For real-valued input data types, arcsin always returns real output. For each value that cannot be expressed as a real number or infinity, it yields nan and sets the invalid floating point error flag. For complex-valued input, arcsin is a complex analytic function that has, by convention, the branch cuts [-inf, -1] and [1, inf] and is continuous from above on the former and from below on the latter. The inverse sine is also known as asin or sin^{-1}.

To find the Trigonometric inverse sine, use the numpy.arcsin() method in Python Numpy. The method returns the sine of each element of the 1st parameter x. This is a scalar if x is a scalar. The 1st parameter, x is y-coordinate on the unit circle. The 2nd and 3rd parameters are optional.

The 2nd parameter is an ndarray, A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or None, a freshly-allocated array is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs. The 3rd parameter is the condition is broadcast over the input. At locations where the condition is True, the out array will be set to the ufunc result. Elsewhere, the out array will retain its original value.

## Steps

At first, import the required library −

import numpy as np

Get the Trigonometric inverse sine. Finding arcsin for pi/2 −

print("\nResult...",np.arcsin(1))


Finding arcsin for -pi/2 −

print("\nResult...",np.arcsin(-1))

Finding arcsin for 0 −

print("\nResult...",np.arcsin(0))


Finding arcsin for 0.3 −

print("\nResult...",np.arcsin(0.3))

## Example

import numpy as np

# The arcsin is a multivalued function: for each x there are infinitely many numbers z such that sin(z) = x. The convention is to return the angle z whose real part lies in [-pi/2, pi/2].

print("Get the Trigonometric inverse sine...")

# finding arcsin for pi/2
print("\nResult...",np.arcsin(1))

# finding arcsin for -pi/2
print("\nResult...",np.arcsin(-1))

# finding arcsin for 0
print("\nResult...",np.arcsin(0))

# finding arcsin for 0.3
print("\nResult...",np.arcsin(0.3))

## Output

Get the Trigonometric inverse sine...

Result... 1.5707963267948966

Result... -1.5707963267948966

Result... 0.0

Result... 0.3046926540153975