Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 8 - Triangle Trigonometry and Polar Coordinates - Review Exercises and Problems for Chapter Eight - Page 350: 11

Answer

$$θ=\frac{\pi }{6}$$

Work Step by Step

To evaluate trigonometric functions without a calculator, it is necessary to use the unit circle. Doing this, we find that theta is: $$\cos \left(θ\right)=\frac{\sqrt{3}}{2} \\ θ=\frac{\pi }{6}$$
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