Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.8 - Applications of Trigonometric Functions - Exercise Set - Page 637: 21


Amplitude $=5$ ; $ f= \dfrac{1}{4}$ and Period $=4$

Work Step by Step

Amplitude, $|A|=|5|=5$ Given: $\omega =\dfrac{\pi}{2}$ and $ f=\dfrac{\omega}{2 \pi}$ So, $ f=\dfrac{\omega}{2 \pi}=\dfrac{\dfrac{\pi}{2}}{2 \pi}=\dfrac{1}{4}$ Now, period, $ P=\dfrac{2 \pi}{\omega}=\dfrac{2 \pi}{\dfrac{\pi}{2}}=4$ Hence, Amplitude $=5$ ; $ f= \dfrac{1}{4}$ and Period $=4$
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