Answer
- $\frac{1}{2}$
Work Step by Step
To find exact value of $\sin 210^{\circ}$, let's find its reference angle first. As $ 210^{\circ}$ terminates in quadrant III,
The reference angle = $ 210^{\circ} - 180^{\circ} $ = $30^{\circ}$
As $ 210^{\circ}$ terminates in quadrant III, its $\sin$ will be negative. Therefore by reference angle theorem-
$\sin 210^{\circ}$ = - $\sin30^{\circ}$
= - $\frac{1}{2}$