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 430: 84

Answer

a) period is $880\pi$ b) frequency is 0.00036

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 $800\pi$ b) The frequency is the inverse of the period $p=\frac{1}{f}$, so the frequency in this example is $\frac{1}{880\pi}$ or $\approx0.00036$
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