Answer
$\theta$ does not exist.
Work Step by Step
RECALL:
The range of the sine functoin $y=\sin{x}$ is $[-1, 1]$.
$\theta=\sin^{-1}{2}$ means $\sin{\theta}=2$
Since the range of the sine function is onnly from -1 to 1, then no angle would have a sine value of $2$.
Thus, there is no angle $\theta$ such that $\sin{\theta} = 2$.
