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: 17

Answer

Refer to the graph below.
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Work Step by Step

RECALL: The graph of the function $y=a\cdot \cos{x}$: (1) has a period of $2\pi$ and an amplitude of $|a|$; and (2) involves a reflection about the x-axis of the parent function $y=\cos{x}$ when $a \lt 0$. The given function has a period of $2\pi$ and since $a=-1$, its amplitude is $1$, and it involves a reflection about the x-axis of the parent function $y=\cos{x}$. To graph the given function, perform the following steps: (1) Create a table of values. (refer to the table below) (2) Plot each point then connect them using a sinusoidal curve with an amplitude of $1$ Refer to the graph in the answer part above.
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