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: 75



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: $\frac{\sin(\frac{\pi}{2})-\sin(0)}{\frac{\pi}{2}-0}=\frac{1-0}{\frac{\pi}{2}}=\frac{2}{\pi}.$
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