Find the reference angle $\theta ^ { \prime }$ for the given angle $\theta$.
$\theta = 312 ^ { \circ }$
A) $138 ^ { \circ }$
B) $- 222 ^ { \circ }$
C) $58 ^ { \circ }$
D) $48 ^ { \circ }$
E) $38 ^ { \circ }$

Question

Quizplus · Accepted Answer

The reference angle is the acute angle formed with the x-axis. For $\theta = 312^\circ$, the reference angle is $360^\circ - 312^\circ = 48^\circ$.

Find the Reference Angle θ′\theta ^ { \prime }θ′ For the Given Angle

Find the Reference Angle $\theta ^ { \prime }$ For the Given Angle