Determine a pair of coterminal angles (in radian measure) to the angle $\frac { \pi } { 2 }$.
A) $\frac { 3 \pi } { 2 } , - \frac { \pi } { 2 }$
B) $\frac { 5 \pi } { 2 } , \frac { 3 \pi } { 2 }$
C) $\frac { 7 \pi } { 2 } , - \frac { \pi } { 2 }$
D) $\frac { 5 \pi } { 2 } , - \frac { 3 \pi } { 2 }$
E) $\frac { 5 \pi } { 2 } , - \frac { \pi } { 2 }$

Question

Quizplus · Accepted Answer

Coterminal angles are angles that share the same initial and terminal sides but differ in the number of rotations. Adding or subtracting $2\pi$ radians (360 degrees) from an angle gives a coterminal angle. For $\frac{\pi}{2}$, adding $2\pi$ gives $\frac{\pi}{2} + 2\pi = \frac{5\pi}{2}$, and subtracting $2\pi$ gives $\frac{\pi}{2} - 2\pi = -\frac{3\pi}{2}$.

Determine a Pair of Coterminal Angles (In Radian Measure) to the Angle