Question

draw the angle in standard position. state the quadrant in which the angle lies. work the exercise without converting to degrees.
$\frac{pi}{3}$
choose the correct graph below.
a.
b.
c.
d.

Explanation:

Step1: Recall angle range for quadrants in radians

Angles between $0$ and $\frac{\pi}{2}$ are in the first - quadrant.

Step2: Analyze the given angle

The given angle is $\frac{\pi}{3}$, and since $0<\frac{\pi}{3}<\frac{\pi}{2}$.

Answer:

The angle $\frac{\pi}{3}$ lies in the first - quadrant. The correct graph is the one where the terminal side of the angle in standard position lies in the first quadrant. Without seeing the exact details of the graphs A, B, C, D, but based on the angle's position, the graph with the terminal side in the first quadrant is the correct one. If we assume graph C has the terminal side in the first quadrant, then the answer is C.