Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 4 - Section 4.2 - Amplitude, Reflection, and Period - 4.2 Problem Set - Page 203: 4

Answer

See below.

Work Step by Step

The period of the graph will be $\frac{2\pi}{B}$, thus if $0\lt B\lt1$, the period of $\sin Bx$ will be larger than of $\sin x$ and if $B\gt1$, the period of $\sin Bx$ will be smaller than of $\sin x$.
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