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: 13

Answer

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

Work Step by Step

The given graph shows the function $y=\sin{2x}$ As shown in the graph, the period is $2\pi$ To evaluate the period of $\sin{x}$, we note that the graph of $\sin{x}$ is compressed by 2. So, the period of $\sin{x}=\frac{2\pi}{2}=\pi$
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