Thomas' Calculus 13th Edition

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 27: 20

Answer

$T=2\pi$
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Work Step by Step

For a function of the form $\sin{(ax+b)}$, the period $(T)$ is given by: $$T=\dfrac{2\pi}{a}$$ For $\sin{\left(x+\dfrac{\pi}{6}\right)}$, $a=1$ $T=\dfrac{2\pi}{1} = 2\pi$
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