#### Answer

There is no angle $\theta$ such that $sin~\theta = 3$
Therefore, $sin^{-1}~3$ is not defined

#### Work Step by Step

Let $\theta = sin^{-1}~3$
Then: $sin~\theta = 3$
However: $-1 \leq sin~\theta \leq~1$, for all angles $\theta$
There is no angle $\theta$ such that $sin~\theta = 3$
Therefore, $sin^{-1}~3$ is not defined