Find an angle between $0$ and $2 \pi$That is coterminal with each angle given.
a. $\frac { 17 \pi } { 2 }$
b. $- \frac { 15 \pi } { 4 }$
c. $85 \pi$

A) $\pi / 2 , \pi / 4 , \pi$
B) $m / 2 , - \pi / 4,0$
C) $3 \pi / 2 , \pi / 4 , \pi$
D) $\pi , 3 \pi / 4 , \pi / 2$
E) $- \pi / 2 , - \pi / 4 , - \pi$

Question

Find an angle between $0$ and $2 \pi$That is coterminal with each angle given.
a. $\frac { 17 \pi } { 2 }$
b. $- \frac { 15 \pi } { 4 }$
c. $85 \pi$

A) $\pi / 2 , \pi / 4 , \pi$ 
B) $m / 2 , - \pi / 4,0$ 
C) $3 \pi / 2 , \pi / 4 , \pi$ 
D) $\pi , 3 \pi / 4 , \pi / 2$ 
E) $- \pi / 2 , - \pi / 4 , - \pi$

Quizplus · Accepted Answer

An angle coterminal with $\theta$ is an angle that has the same terminal side as $\theta$. To find an angle coterminal with an angle greater than $2\pi$, subtract $2\pi$ repeatedly until the result is between $0$ and $2\pi$. To find an angle coterminal with an angle less than $0$, add $2\pi$ repeatedly until the result is between $0$ and $2\pi$.a. $\frac { 17 \pi } { 2 } = \frac { 17 \pi } { 2 } - 2\pi = \frac { \pi } { 2 }$b. $- \frac { 15 \pi } { 4 } = - \frac { 15 \pi } { 4 } + 2\pi = \frac { \pi } { 4 }$c. $85 \pi = 85 \pi - 84(2\pi) = \pi$

Find an Angle Between 000 And 2π2 \pi2π That Is Coterminal with Each Angle Given

Find an Angle Between $0$ And $2 \pi$ That Is Coterminal with Each Angle Given