Question

for each point on the unit circle, select the angle that corresponds to it. click each dot on the image to select an answer. choices: \\(\frac{pi}{4}\\), \\(\frac{5pi}{6}\\), \\(\frac{4pi}{7}\\), \\(\frac{7pi}{4}\\)

Explanation:

Step1: Match Point A to angle

Point A is in the first quadrant (x>0, y>0). $\frac{\pi}{4}$ is between $0$ and $\frac{\pi}{2}$, so it corresponds to Point A.

Step2: Match Point B to angle

Point B is in the second quadrant (x<0, y>0). $\frac{5\pi}{6}$ is between $\frac{\pi}{2}$ and $\pi$, so it corresponds to Point B.

Step3: Match Point C to angle

Point C is in the fourth quadrant (x>0, y<0). $\frac{7\pi}{4}$ is between $\frac{3\pi}{2}$ and $2\pi$, so it corresponds to Point C.
(Note: $\frac{4\pi}{7}$ is in the second quadrant, so it is not used here.)

Answer:

• Point A: $\frac{\pi}{4}$
• Point B: $\frac{5\pi}{6}$
• Point C: $\frac{7\pi}{4}$