Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.2 - Trigonometric Functions of Real Numbers - 5.2 Exercises - Page 417: 44

Answer

Graphical approximation: $\approx 0.9$ Calculator: $\approx 0.88345$

Work Step by Step

(negative direction = clockwise) The terminal point of t=$-5.2 $is in quadrant I. For a point on the unit circle, the x-coordinate is $=\cos t$, the y-coordinate is $\sin t$, We estimate (see image below) $\sin(-5.2)\approx 0.9$ while the calculator shows $\sin(-5.2)\approx$0.88345465572 :
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