For each angle, state the quadrant and find the exact value of $\sin \theta$:

$225^{\circ}$
[1]
$330^{\circ}$
[1]
$120^{\circ}$.[1]

Question

For each angle, state the quadrant and find the exact value of $\sin \theta$: $225^{\circ}$ [1] $330^{\circ}$ [1] $120^{\circ}$.[1]

Accepted Answer

(a) Quadrant III; $\sin225^\circ=-\frac{\sqrt2}{2}$ (b) Quadrant IV; $\sin330^\circ=-\frac12$ (c) Quadrant II; $\sin120^\circ=\frac{\sqrt3}{2}$

Trigonometry