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: 71

Answer

(a) See graph. (b) function $y1$ has a period $\pi$ and function $y2$ has a period $2\pi$, (c) $cos(sin(x))\gt sin(cos(x))$

Work Step by Step

(a) See the graphs of the two functions in the figure. (b) Based on the graphs, function y1 has a period-1 of $\pi$ and function y2 has a period-2 of $2\pi$ (c) From the graph, it can be seen that the red curve is always above the purple curve meaning $y1\gt y2$ which gives the inequality $cos(sin(x))\gt sin(cos(x))$
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