Answer
2
Work Step by Step
To find exact value of $\csc (-330)^{\circ}$, let's find its reference angle first. As $ (-330)^{\circ}$ terminates in quadrant I,
The reference angle = $ 360^{\circ} - 330^{\circ} $ = $30^{\circ}$
As $ (-330)^{\circ}$ terminates in quadrant I, its $\csc$ will be positive. Therefore by reference angle theorem-
$\csc (-330)^{\circ}$ = $\csc 30^{\circ}$
= 2
