Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.2 Define General Angles and Use Radian Measure - 13.2 Exercises - Skill Practice - Page 863: 14


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Work Step by Step

Let x be the angle measure from the diagram. The standard position is drawn from the x-axis clockwise. However since the rotation of the terminal side of the angle is counterclockwise, our angle is positive. This gives: $$360 + 180 \leq x \leq 360 + 180 + 90\\540 \leq x \leq 630$$ The only positive angle measure that is between those values is 570 degrees. Hence, the correct answer is C.
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