Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Section 5.5 - Trigonometric Equations - Exercise Set - Page 706: 155


The statement does not make sense.

Work Step by Step

We have to solve this equation: $\begin{align} & d=-4\cos \left( \frac{\pi }{3} \right)\times 2 \\ & d=-4\cos \left( \frac{2\pi }{3} \right) \\ & d=-4\cos \left( \pi -\frac{\pi }{3} \right) \\ & d=4\cos \frac{\pi }{3} \\ \end{align}$ Put $\cos \frac{\pi }{3}=\frac{1}{2}$ , $\begin{align} & d=4\times \frac{1}{2} \\ & d=2 \\ \end{align}$ Thus, to find the value, we do not have to solve the trigonometric equation; we can find the value of the trigonometric angle and simplify it arithmetically.
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