Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.2 - Trigonometric Functions: The Unit Circle - Exercise Set - Page 549: 83


a. $E(7)= 1$, $E(14)= 0$, $E(21) =-1$, $E(28)= 0$, $E(35)= 1$, oscillates in the interval of $[-1,1]$. b. $28\ days$

Work Step by Step

a. With the given function $E(t)=sin(\frac{\pi}{14}t)$, we have $E(7)=sin(\frac{\pi}{2})=1$, $E(14)=sin(\pi)=0$, $E(21)=sin(\frac{3\pi}{2})=-1$, $E(28)=sin(2\pi)=0$, $E(35)=sin(\frac{5\pi}{2})=1$ We can see that the function oscillates in the interval of $[-1,1]$. b. The period of the cycle can be found as $p=\frac{2\pi}{\pi/14}=28\ days$ as can be observed from $E(7)$ to $E(35)$ above.
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.