jax.numpy.arcsin

jax.numpy.arcsin(x, /)

Compute element-wise inverse of trigonometric sine of input.

JAX implementation of numpy.arcsin.

Parameters:

x (ArrayLike) – input array or scalar.

Returns:

An array containing the inverse trigonometric sine of each element of x in radians in the range [-pi/2, pi/2], promoting to inexact dtype.

Return type:

Array

Note

• jnp.arcsin returns nan when x is real-valued and not in the closed interval [-1, 1].

• jnp.arcsin follows the branch cut convention of numpy.arcsin for complex inputs.

See also

• jax.numpy.sin(): Computes a trigonometric sine of each element of input.

• jax.numpy.arccos() and jax.numpy.acos(): Computes the inverse of trigonometric cosine of each element of input.

• jax.numpy.arctan() and jax.numpy.atan(): Computes the inverse of trigonometric tangent of each element of input.

Examples

>>> x = jnp.array([-2, -1, -0.5, 0, 0.5, 1, 2])
>>> with jnp.printoptions(precision=3, suppress=True):
...   jnp.arcsin(x)
Array([   nan, -1.571, -0.524,  0.   ,  0.524,  1.571,    nan], dtype=float32)

For complex-valued inputs:

>>> with jnp.printoptions(precision=3, suppress=True):
...   jnp.arcsin(3+4j)
Array(0.634+2.306j, dtype=complex64, weak_type=True)