Question

unit trigonometry progress. the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. what is the reference angle for -202°? 158° 22° 68° -22°

Explanation:

Step1: Find the coterminal positive angle

To find the coterminal positive angle of \(-202^{\circ}\), we add \(360^{\circ}\). So, \(- 202^{\circ}+360^{\circ}=158^{\circ}\).

Step2: Determine the reference angle

Since \(158^{\circ}\) is in the second quadrant (\(90^{\circ}<158^{\circ}<180^{\circ}\)), the formula for the reference angle \(\theta_{r}\) of an angle \(\theta\) in the second quadrant is \(\theta_{r}=180^{\circ}-\theta\). Substituting \(\theta = 158^{\circ}\), we get \(\theta_{r}=180^{\circ}-158^{\circ}=22^{\circ}\).

Answer:

\(22^{\circ}\)