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 190: 33

Answer

Refer to the graph below.
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Work Step by Step

RECALL: The function $y=a \cdot \cos{(bx)}$ has: period = $\frac{2\pi}{|b|}$. amplitude = $|a|$ The given function has $a=3$ and $b=2$. Thus, the given function has: period = $\frac{2\pi}{2}=\pi$ amplitude = $|3|=3$ One period of this function is in the interval $[0, \pi]$. Divide this interval into four equal parts to obtain the key x-values $0, \frac{\pi}{4}, \frac{\pi}{2}, \frac{3\pi}{4}$. To graph the given function, perform the following steps: (1) Create a table of values using the key x-values listed above. (Refer to the table below.) (2) Plot each point from the table of values then connect them using a sinusoidal curve. (Refer to the graph in the answer part above.)
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