Trigonometry 7th Edition

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

Chapter 2 - Section 2.2 - Calculators and Trigonometric Functions of an Acute Angle - 2.2 Problem Set - Page 73: 95

Answer

II quadrant.

Work Step by Step

We know that $\sin\theta = \frac{y}{R}$ and $\cos\theta = \frac{x}{R}$, where $R$ is always $R>0$. So if $\sin\theta$ is positive. It means that $y>0$. It's true for I and II quadrants. $\cos\theta$ is negative сonsequently $x<0$. It's right for II and III quadrants. Both conditions are true only for II quadrant.
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