Trigonometry (11th Edition) Clone

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

Chapter 3 - Radian Measure and the Unit Circle - Section 3.4 Linear and Angular Speed - 3.4 Exercises - Page 130: 11


$\theta=2\pi$ radians

Work Step by Step

Step 1: The formula to be used here is $w=\frac{\theta}{t}$. Step 2: After substituting the values provided by the question into this formula, the equation becomes $\frac{2\pi}{3}=\frac{\theta}{3}$ Step 3: Multiplying both sides by $3$, $\frac{2\pi}{3}\times3=\frac{\theta}{3}\times3$ Step 4: Simplifying, $\theta=2\pi$ radians.
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