Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.3 - Definition I: Trigonometric Functions - 1.3 Problem Set - Page 33: 79

Answer

a. $QII , QIII$

Work Step by Step

$\cos{\theta} = \dfrac{x}{r}$ $\because r = \sqrt{x^2+y^2} \hspace{20pt} \therefore$ It is always positive. $\therefore$ For $\cos{\theta}$ to be negative, $x$ must be negative. $x$ is negative in $QII$ and $QIII$ $\therefore \theta $ could terminate in $\boxed{QII , QIII }.$
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