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: 34


$\text{Quadrant II}$

Work Step by Step

$P= (x,y) \text{ is the point on the unit circle corresponding to } \theta$. Since $\csc{\theta} = \dfrac{1}{y}>0, \text{ then } y>0$ We also know that $\cos{\theta} = x<0$ 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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