Trigonometry (11th Edition) Clone

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

Chapter 4 - Graphs of the Circular Functions - Summary Exercises on Graphing Circular Functions - Page 181: 1


Refer to the graph below.

Work Step by Step

RECALL: The function $y=a \cdot \cos{(bx)}$ has: amplitude = $|a|$ period = $\frac{2\pi}{b}$ The given function has $a=2$ and $b=\pi$. Thus, the given function has: amplitude = $|2|=2$ period = $\frac{2\pi}{\pi}=2$ This means that one period of the given function is in the interval $[0, 2]$. Divide this interval into four equal parts to obtain the key x-values $0, 0.5, 1, 1.5, \text{ and } 2$. To graph the given function, perform the following steps: (1) Create a table of values substituting each of the key x-values listed above into the given function. (Refer to the table below.) (2) Plot each point from the table then connect them using a sinusoidal curve.whose amplitude is $2$.
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