Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - Test - Page 562: 6

Answer

(a) $30^\circ$ (b) $80^\circ$ (c) $ 90^\circ$

Work Step by Step

The angle $\theta$ we are looking for is the positive angle of the terminal line with the x-axis: (a) $390^\circ=360^\circ+30^\circ$, thus $\theta=30^\circ$ (b) For $-80^\circ$, $\theta=80^\circ$ (c) $810^\circ=720^\circ+90^\circ$, thus $\theta=90^\circ$
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