Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 4 - Graphs of the Circular Functions - Section 4.1 Graphs of the Sine and Cosine Functions - 4.1 Exercises - Page 143: 12

Answer

A

Work Step by Step

Comparing $y=3\sin x$ with the standard form of the sin function $y=a\sin bx$, we find that $a=3$ while $b=1$. This means that the amplitude is 3 while the period is $\frac{2\pi}{b}=\frac{2\pi}{1}=2\pi$. Therefore, we need to find a sin graph whose amplitude is 3 and whose period is $2\pi$. Such a graph is found in option A.
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