Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.1 Radian Measure - 3.1 Exercises - Page 100: 91

Answer

(a) $5\pi$ radians (b) $\frac{8\pi}{3}$ radians

Work Step by Step

(a) Since 1 circular orbit is equal to $2\pi$ radians, $2.5$ orbits are equal to $2.5\times2\pi=5\pi$ radians. (b) Since 1 circular orbit is equal to $2\pi$ radians, $\frac{4}{3}$ orbits are equal to $\frac{4}{3}\times2\pi=\frac{8\pi}{3}$ radians.
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