Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.5 - Graphs of Sine and Cosine Functions - Concept and Vocabulary Check - Page 595: 6

Answer

$$\frac{1}{2}, \\ \frac{2\pi}{3}$$

Work Step by Step

Please note that the graph of $y=A \cos Bx$ has amplitude $|A|$ and period $\frac{2\pi }{B}$. So the amplitude of $y=\frac{1}{2} \cos 3x$ is $|\frac{1}{2}|=\frac{1}{2}$ and its period is $\frac{2\pi }{3}$.
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