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: 2d

Answer

Quadrant I

Work Step by Step

A positive angle measurement means the angle is measured from the positive x-axis going counterclockwise. Since $2\pi \approx 6.28$ and $2.5\pi=\frac{5\pi}{2} \approx 7.85$, then$7$ radians is between $2\pi$ and $\frac{5\pi}{2}$. $2\pi$ is the positive x-axis while $\frac{5\pi}{2}$ is the positive y-axis. Thus, $7$ radians must be in Quadrant I.
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