Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.3 Properties of the Trigonometric Functions - 5.3 Assess Your Understanding - Page 418: 31


$\text{Quadrant IV}$

Work Step by Step

$P= (x,y) \text{ is the point on the unit circle corresponding to } \theta$ We have: $\cos{\theta} = x>0 $ $\tan{\theta} = \dfrac{y}{x} <0$ With $x\gt 0 \text{ and } \tan{\theta}\lt 0$, then $y<0$ Note that points in Quadrant IV have $y\lt 0 \text{ and } x\gt 0$ Thus, $\theta \in \text{Quadrant IV}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.