Precalculus (6th Edition)

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

Chapter 8 - Application of Trigonometry - Chapter 8 Test Prep - Review Exercises - Page 842: 92

Answer

$$\tan \theta = 1$$

Work Step by Step

$$\eqalign{ & y = x \cr & {\text{Use }}r\sin \theta = y{\text{ and }}r\cos \theta = x,{\text{ then}} \cr & r\sin \theta = r\cos \theta \cr & \sin \theta = \cos \theta \cr & {\text{Divide both sides by cos}}\theta \cr & \frac{{\sin \theta }}{{\cos \theta }} = \frac{{\cos \theta }}{{\cos \theta }} \cr & \tan \theta = 1 \cr} $$
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