Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 5 - Section 5.3 - Trigonometric Graphs - 5.3 Exercises - Page 431: 86

Answer

a) period is $\pi/156$ b) maximum brightness is 10 and the minimum is 5.8

Work Step by Step

a) the period is found as the variable $k$ in the base function $f(t)=a\cdot cos(k(t-b))$ In this case one can see that it is $\pi$/156 b) The maximum brightness is determined by the vertical shift, 7.9 in this case, plus the amplitude, 2.1 in this case. $7.9+2.1=10$ The minimum brightness is determined by the vertical shift, 7.9 in this case, minus the amplitude, 2.1 in this case. $7.9-2.1=5.8$
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