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.

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.