Definition:Inverse Sine/Complex/Definition 1

Definition

Let $z \in \C$ be a complex number.

The inverse sine of $z$ is the multifunction defined as:

$\sin^{-1} \paren z := \set {w \in \C: \sin \paren w = z}$

where $\sin \paren w$ is the sine of $w$.

Also see

• Equivalence of Definitions of Complex Inverse Sine Function

• Definition:Complex Arcsine