find the reference angle for the given angle.\n16) - 780°\na) 240°\nb) 120°\nc) 60°\nd) - 60°
find the reference angle for the given angle.\n16) - 780°\na) 240°\nb) 120°\nc) 60°\nd) - 60°
Answer
Explanation:
Step1: Find the positive coterminal angle
Add (360^{\circ}) multiple times to (-780^{\circ}). (-780^{\circ}+3\times360^{\circ}=-780^{\circ} + 1080^{\circ}=300^{\circ})
Step2: Determine the reference angle
Since (300^{\circ}) is in the fourth - quadrant ((270^{\circ}<300^{\circ}<360^{\circ})), the reference angle formula for an angle (\theta) in the fourth - quadrant is (360^{\circ}-\theta). Let (\theta = 300^{\circ}), then the reference angle (\alpha=360^{\circ}-300^{\circ}=60^{\circ})
Answer:
C. (60^{\circ})