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: 2



Work Step by Step

In the standard equation $y=-a \cos bx$, $a$ is the amplitude while $b$ can be used to find the period. In the equation $y=-3 \cos \frac{1}{2}x$, $a=3$ while $b=\frac{1}{2}$. Since $a=3$, this means that the amplitude is 3. Now we use $b$ to find the period using the formula: Step 1: Period$=\frac{2\pi}{b}$ Step 2: Period$=\frac{2\pi}{1/2}$ Step 3: Period$=2\pi \times 2$ Step 4: Period$=4\pi$ Therefore, we know that the amplitude is 3 while the period is $4\pi$. This means that Option D is the one among all the options that is false.
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