Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.1 Graph Sine, Cosine, and Tangent Functions - 14.1 Exercises - Skill Practice - Page 913: 7

Answer

The graph is attached.

Work Step by Step

The given functions are sine and cosine functions in the form $y=asin(bx)$ and $y=acos(bx)$. Note, the only difference between sine and cosine functions is that, when not shifted, cosine functions are at their maximum amplitude at $x=0$, while sine functions are at $0$ at this point. Note, $\mid a\mid $ is the amplitude of the functions, and $\frac{2\pi}{b}$ is the period of these functions. Knowing this, we can create the graph.
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