Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Review - Exercises - Page 464: 56

Answer

(a) $\frac{\pi}{2}$ and $\frac{\pi}{2}$ (b) $0$ (c) In phase. (d) see graph.

Work Step by Step

(a) Based on the definition of phase $b$ in a standard equation $y=a\cdot sin(kt-b)$, we can identify the phase for $y_1$ as $b_1=\frac{\pi}{2}$ and for $y_2$ as $b_2=\frac{\pi}{2}$ (b) The phase difference between the curves can be found as $b_1-b_2=0$ (c) The curves are in phase because the phase difference is zero. (d) We can sketch both curves on the same axes as shown in the figure.
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.