Definition:Inverse Sine/Complex/Arcsine

Definition
The principal branch of the complex inverse sine function is defined as:
 * $\arcsin^{-1} \left({z}\right) = \dfrac 1 i \ln \left({z + \sqrt{1 - z^2} }\right)$

Also see

 * Derivation of Complex Arcsine from Inverse Sine Multifunction