Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 4 - Review Exercises - Page 186: 56

Answer

Amplitude=3 Period$=\pi$ sec Frequency$=\frac{1}{\pi}$ cycles per second

Work Step by Step

We first need to compare $s(t)=3\cos2 t$ with the standard form of the equation $s(t)=a \cos wt$ where $a$ represents the amplitude and $w$ represents the angular speed. Comparing the two equations, we find that $a=3$. This means that the amplitude is 3 inches. By comparison, we also find that $w=2$. $w$ can be used to find the period through the formula: Period$=\frac{2\pi}{w}$ Period$=\frac{2\pi}{2}$ Period$=\pi$ sec Since frequency is the reciprocal of period, Frequency$=\frac{1}{\pi}$ cycles per second
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.