Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Review Exercises - Page 189: 1



Work Step by Step

In the standard equation $y=a \sin bx$, $a$ is the amplitude while $b$ can be used to find the period. In the equation $y=4 \sin 2x$, $a=4$ while $b=2$. Since $a=4$, this means that the amplitude is 4. Now we use $b$ to find the period using the formula: Step 1: Period$=\frac{2\pi}{b}$ Step 2: Period$=\frac{2\pi}{2}$ Step 3: Period$=\pi$ Therefore, we know that the amplitude is 4 while the period is $\pi$. This means that Option B is true.
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