Question

which angle has its terminal side on the positive y - axis?

a. \\( \frac { 3 \pi } { 2 } \\) radians
b. \\( 2 \pi \\) radians
c. \\( \frac { \pi } { 2 } \\) radians
d. \\( \pi \\) radians

Explanation:

Step1: Recall quadrantal angles

Quadrantal angles have terminal sides on axes. Positive y-axis corresponds to $\frac{\pi}{2}$ radians.

Step2: Check options

Option C is $\frac{\pi}{2}$ radians, matching the required angle.

Answer:

C. $\frac{\pi}{2}$ radians