Find the reference angle $\theta ^ { \prime }$ .
$\theta = 11.8$
A) $\theta ^ { \prime } = 2 \pi + 11.8$
B) $\theta ^ { \prime } = 2 \pi - 11.8$
C) $\theta ^ { \prime } = 4 \pi - 11.8$
D) $\theta ^ { \prime } = 4 \pi + 11.8$
E) $\theta ^ { \prime } = 11.8 - 2 \pi$

Question

Find the reference angle $\theta ^ { \prime }$ . 
 $\theta = 11.8$  
A) $\theta ^ { \prime } = 2 \pi + 11.8$  
B) $\theta ^ { \prime } = 2 \pi - 11.8$
C) $\theta ^ { \prime } = 4 \pi - 11.8$
D) $\theta ^ { \prime } = 4 \pi + 11.8$
E) $\theta ^ { \prime } = 11.8 - 2 \pi$

Quizplus · Accepted Answer

The reference angle is found by subtracting the angle from the nearest multiple of $2\pi$. Since $11.8$ is greater than $2\pi$, we use $4\pi - 11.8$.

Find the Reference Angle θ′\theta ^ { \prime }θ′ θ=11.8\theta = 11.8θ=11.8

Find the Reference Angle $\theta ^ { \prime }$ $\theta = 11.8$