University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.3 - Trigonometric Functions - Exercises - Page 27: 14

Answer

The period of $\sin{x}$ is $4\pi$

Work Step by Step

The given graph shows the function: $y=\sin{\frac{x}{2}}$ As shown in the graph, the period of the graph is: $2\pi$ To evaluate the period of $\sin{x}$, we note that $\sin{x}$ is stretched by 2. Thus, the new period is: $\sin{x}=2\pi\times2=4\pi$
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