Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - Section Project - Graphs and Limits of Trigonometric Functions - Page 90: c

Answer

Please see below.

Work Step by Step

The graph of $\sin x$ has been drawn by hand as the question wants. The slope of the tangent line at the point $(0,0)$ can be obtained via calculating $m=\frac{\Delta y}{\Delta x}$. Looking at the graph, we can visually estimate the slope of the tangent line:$$m \approx 1 .$$
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