Answer
- $\frac{4}{3}$
Work Step by Step
Given
$\sin\theta$ = -$\frac{3}{4}$
$\sin\theta$ and $\csc\theta$ are reciprocal to each other, therefore-
$\sin\theta \times \csc\theta$ = 1
or $\csc\theta$ = $\frac{1}{\sin\theta}$
= $\frac{1}{-3/4}$
= - $\frac{4}{3}$
