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: 33


$\text{Quadrant II}$

Work Step by Step

$P= (x,y) \text{ is the point on the unit circle corresponding to } \theta$. $\sec{\theta} = \dfrac{1}{x}<0 \hspace{20pt} \therefore x<0$ We have: $\sin{\theta} = y >0$ Note that points in Quadrant II have $y\gt 0 \text{ and } x\lt 0$. Thus, $\theta \in \text{Quadrant II}$.
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