Question

find the reference angle for the given angle.
52°
a. 38°
b. 142°
c. 52°
d. 128°

Explanation:

Step1: Determine the quadrant

Since \(0^{\circ}<52^{\circ}<90^{\circ}\), the angle \(52^{\circ}\) is in the first quadrant.

Step2: Use the reference - angle formula for the first quadrant

For an angle \(\theta\) in the first quadrant (\(0 <\theta<90^{\circ}\)), the reference angle \(\theta_{r}=\theta\).

Answer:

C. \(52^{\circ}\)