Answer
$\sin$ 30$^{\circ}$ = $\frac{1}{2}$
$\tan$ 30$^{\circ}$ = -$\frac{\sqrt3}{3}$
$\sec$ 30$^{\circ}$ = -$\frac{2\sqrt3}{3}$
Work Step by Step
We use the reference angle to determine the trigonometric functions.
$\theta$$^{1}$ = 180$^{\circ}$ - 150$^{\circ}$
$\theta$$^{1}$ = 30$^{\circ}$
$\sin$ 30$^{\circ}$ = $\frac{1}{2}$
$\tan$ 30$^{\circ}$ = $\frac{1}{-\sqrt3}$ = -$\frac{\sqrt3}{3}$
$\sec$ 30$^{\circ}$ = $\frac{2}{-\sqrt3}$ = -$\frac{2\sqrt3}{3}$
