arcsin(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])

Notes

arcsin is a multivalued function: for each x there are infinitely many numbers :None:None:`z` such that $sin(z) = x$ . The convention is to return the angle :None:None:`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 :None:None:`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 :None:None:`asin` or sin^{-1}.

Parameters

x : array_like

:None:None:`y`-coordinate on the unit circle.

out : ndarray, None, or tuple of ndarray and None, optional

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.

where : array_like, optional

This condition is broadcast over the input. At locations where the condition is True, the :None:None:`out` array will be set to the ufunc result. Elsewhere, the :None:None:`out` array will retain its original value. Note that if an uninitialized :None:None:`out` array is created via the default out=None , locations within it where the condition is False will remain uninitialized.

**kwargs :

For other keyword-only arguments, see the ufunc docs <ufuncs.kwargs> .

Returns

angle : ndarray

The inverse sine of each element in x, in radians and in the closed interval [-pi/2, pi/2] . This is a scalar if x is a scalar.

Inverse sine, element-wise.

See Also

arccos

arctan

arctan2

cos

emath.arcsin

sin

tan

Examples

This example is valid syntax, but we were not able to check execution

>>> np.arcsin(1)     # pi/2
1.5707963267948966

This example is valid syntax, but we were not able to check execution

>>> np.arcsin(-1)    # -pi/2
-1.5707963267948966

This example is valid syntax, but we were not able to check execution

>>> np.arcsin(0)
0.0

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

numpy.ma.core.arccos numpy.ma.core.arcsin numpy.ma.core.sin

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