Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Review Exercises - Page 645: 48

Answer

Quadrant III or Third Quadrant.

Work Step by Step

We know that tangent is positive only in the first and third quadrant and cosine is negative only in the second and third quadrant. Thus, both conditions are satisfied only if $\theta$ is in quadrant III.
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