Answer
Quadrant IV.
Work Step by Step
According to the picture, $\cos{\theta}\gt0$ in quadrants I and IV.
According to the picture, $\tan{\theta}\lt0$ in quadrants II and IV.
Hence it must be in Quadrant IV.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 6 - Trigonometric Functions - Chapter Review - Review Exercises - Page 435: 44
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