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 431: 11


$\text{Amplitude} = 2$ $\text{Period}=T= 2\pi$

Work Step by Step

Recall: For $y=A\sin{({\omega}x)}$, we have: $\text{Amplitude}=|A|$ and $\text{Period}=T=\frac{2\pi}{\omega}$ In $y=2\sin x$ we have $A=2$ and $\omega=1$, so Amplitude= $|A|=2$ Period $T=\frac{2\pi}{\omega}=\frac{2\pi}{1}=2\pi$
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