Determine two coterminal angles (one positive and one negative) for $\theta = \frac { 5 \pi } { 6 }$.

A) $\frac { 11 \pi } { 6 } , - \frac { 13 \pi } { 6 }$

B) $\frac { 19 \pi } { 6 } , - \frac { 17 \pi } { 6 }$

C) $\frac { 17 \pi } { 6 } , - \frac { 7 \pi } { 6 }$

D) $\frac { 13 \pi } { 6 } , - \frac { 7 \pi } { 12 }$

E) $\frac { 5 \pi } { 3 } , - \frac { 7 \pi } { 18 }$

Question

Determine two coterminal angles (one positive and one negative) for $\theta = \frac { 5 \pi } { 6 }$.

A) $\frac { 11 \pi } { 6 } , - \frac { 13 \pi } { 6 }$

B) $\frac { 19 \pi } { 6 } , - \frac { 17 \pi } { 6 }$

C) $\frac { 17 \pi } { 6 } , - \frac { 7 \pi } { 6 }$

D) $\frac { 13 \pi } { 6 } , - \frac { 7 \pi } { 12 }$

E) $\frac { 5 \pi } { 3 } , - \frac { 7 \pi } { 18 }$

Quizplus · Accepted Answer

To find coterminal angles, add or subtract $2\pi$ (or $\frac{12\pi}{6}$ in this case) to/from $\frac{5\pi}{6}$. Adding gives $\frac{17\pi}{6}$ and subtracting gives $-\frac{7\pi}{6}$.

Determine Two Coterminal Angles (One Positive and One Negative) For \theta