Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Review Exercises - Page 135: 2c


Quadrant III

Work Step by Step

A negative angle measurement means the angle is measured from the positive x-axis going clockwise. Since $-\frac{\pi}{2}\approx -1.57$ and $-\pi \approx -3.14$, then$-2$ radians is between $-\frac{\pi}{2}$ and $-\pi$. $-\frac{\pi}{2}$ is the negative y-axis while $-\pi$ is the negative x-axis. Thus, $-2$ radians must be in Quadrant III.
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