Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.4 Trigonometric Functions - Exercises - Page 30: 14

Answer

$\frac{\pi}{3}$, $\frac{5\pi}{3}$

Work Step by Step

$\sec t=\frac{1}{\cos t}=2$ $\implies \cos t=\frac{1}{2}$ From Figure 22, we find that $\cos \frac{\pi}{3}=\cos \frac{5\pi}{3}=\frac{1}{2}$ Therefore, the required angles are $ \frac{\pi}{3}$ and $\frac{5\pi}{3}$.
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