iarray.IArray.arcsin#

IArray.arcsin()#

Trigonometric inverse sine, element-wise.

The inverse of sin so that, if \(y = \sin(x)\), then \(x = \arcsin(y)\).

Parameters

iarr(self) (IArray container) – y-coordinate on the unit circle.

Returns

angle – A lazy expression that must be evaluated via out.eval(), which will compute the inverse sine of each element in \(x\), in radians and in the closed interval \(\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]\).

Return type

iarray.Expr

Notes

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 \(\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]\).

References

np.arcsin