Find the measure of the reference angle q ¢ given q = 1398°.
A)228 °
B)318 °
C)138 °
D)42 °
E)48 °

Question

Quizplus · Accepted Answer

The reference angle $ q' $ for an angle $ q $ measured in degrees is found by first finding the equivalent angle between 0° and 360°. For $ q = 1398° $, we reduce this by subtracting 360° multiples until it falls within the 0° to 360° range: $ 1398° - 3(360°) = 318° $. The reference angle is then found by considering the angle's position in the standard position. Since 318° lies in the fourth quadrant, its reference angle $ q' $ is $ 360° - 318° = 42° $.

Find the Measure of the Reference Angle Q ¢ Given