Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.3 The Unit Circle and Circular Functions - 3.3 Exercises - Page 117: 39

Answer

$\sin 3.8\approx-0.6$

Work Step by Step

For any real number $s$ represented by a directed arc on the unit circle, $\sin s=y\quad \cos s=x \quad \displaystyle \tan s=\frac{y}{x} (x\neq 0)$ ------------- The point on the unit circle (see below) representing $s=3.8$ is highlighted, as is its $y$-coordinate, $\sin s$. Using the given grid, $\sin 3.8\approx-0.6$
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