Answer
$T=2\pi$
Work Step by Step
For a function of the form $\cos{(ax+b)}+c$, the period $(T)$ is given by:
$$T=\dfrac{2\pi}{a}$$
For $\cos{\left(x+\dfrac{2\pi}{3}\right)}-2$, $a=1$
$T=\dfrac{2\pi}{1} = 2\pi$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 1: Functions - Section 1.3 - Trigonometric Functions - Exercises 1.3 - Page 28: 22
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