Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.4 Graphs of the Sine and Cosine Functions - 6.4 Assess Your Understanding - Page 410: 78



Work Step by Step

The general formula for average rate of change from $x$ to $y$ is $\frac{f(y)-f(x)}{y-x}.$ Hence here: $\frac{\cos(2\cdot\frac{\pi}{2})-\cos(2\cdot 0)}{\frac{\pi}{2}-0} \\=\frac{\cos{\pi}-\cos{0}}{\frac{\pi}{2}} \\=\frac{-1-1}{\frac{\pi}{2}} \\=\frac{-4}{\pi}$
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