Answer
quadrant IV.
Work Step by Step
1. Given $cos\theta\gt0$, we have $x\gt0$ and $\theta$ in quadrant I or IV,
2. Given $tan\theta\lt0$, we have $\theta$ in quadrant II or IV,
3. Thus $\theta$ is in quadrant IV.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 5 - Trigonometric Functions - Chapter Review - Review Exercises - Page 459: 44
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