numpy.arcsin¶
- numpy.arcsin(x[, out]) = <ufunc 'arcsin'>¶
Inverse sine, element-wise.
Parameters: x : array_like
y-coordinate on the unit circle.
out : ndarray, optional
Array of the same shape as x, in which to store the results. See doc.ufuncs (Section “Output arguments”) for more details.
Returns: angle : ndarray
The inverse sine of each element in x, in radians and in the closed interval [-pi/2, pi/2]. If x is a scalar, a scalar is returned, otherwise an array.
Notes
arcsin is a multivalued function: for each x there are infinitely many numbers z such that . 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}.
References
Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions, 10th printing, New York: Dover, 1964, pp. 79ff. http://www.math.sfu.ca/~cbm/aands/
Examples
>>> np.arcsin(1) # pi/2 1.5707963267948966 >>> np.arcsin(-1) # -pi/2 -1.5707963267948966 >>> np.arcsin(0) 0.0