Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - 6.4 Translations of the Graphs of the Sine and Cosine Functions - 6.4 Exercises - Page 614: 40

Answer

see graph.

Work Step by Step

Given $y=cos(x+\frac{\pi}{3})$, we can find its period as $p=\frac{2\pi}{1}=2\pi$ and phase shift as $\frac{\pi}{3}$ to the left, see graph.
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