Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.4 Graphs of the Sine and Cosine Functions* - 5.4 Assess Your Understanding - Page 432: 62

Answer

$y=\pm 4\sin(2\pi x)$

Work Step by Step

Amplitude=$|A|=4$ $\implies A=\pm4$ Period $T=\frac{2\pi}{\omega}=1\implies\omega=\frac{2\pi}{1}=2\pi$ Hence, $y=A\sin(\omega x)=\pm 4\sin(2\pi x)$
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