Find the reference angle $\theta ^ { \prime }$ .
$\theta = 5.3$
A) $\theta ^ { \prime } = \pi - 5.3$
B) $\theta ^ { \prime } = 5.3 - 2 \pi$
C) $\theta ^ { \prime } = \pi + 5.3$
D) $\theta ^ { \prime } = 2 \pi - 5.3$
E) $\theta ^ { \prime } = 2 \pi + 5.3$

Question

Find the reference angle $\theta ^ { \prime }$ .  
$\theta = 5.3$  
A) $\theta ^ { \prime } = \pi - 5.3$
B) $\theta ^ { \prime } = 5.3 - 2 \pi$
C) $\theta ^ { \prime } = \pi + 5.3$
D) $\theta ^ { \prime } = 2 \pi - 5.3$
E) $\theta ^ { \prime } = 2 \pi + 5.3$

Quizplus · Accepted Answer

The reference angle $\theta ^ { \prime }$ for an angle $\theta$ in radians is found by subtracting $\theta$ from $2\pi$ if $\theta$ is in the fourth quadrant, which is the case here since $5.3$ is between $\pi$ and $2\pi$.

Find the Reference Angle θ′\theta ^ { \prime }θ′ θ=5.3\theta = 5.3θ=5.3

Find the Reference Angle $\theta ^ { \prime }$ $\theta = 5.3$