Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 6 - Section 6.2 - More on Trigonometric Equations - 6.2 Problem Set - Page 333: 50


$\theta=86.4^o\approx 86^o$

Work Step by Step

$\;\;\;cos(\theta)=\frac{r^4}{R^4}$ At $\;\;\;\;\;r=2\;\;\;\;\;\;\;\;\;and\;\;\;\;\;\;\;\;\;\;R=4$ $cos(\theta)=\frac{r^4}{R^4}=\frac{16}{256}=\frac{1}{16}$ $cos(\theta)=\frac{1}{16}$ $\theta=cos^{-1}(\frac{1}{16})$ $\theta=86.4^o\approx 86^o$
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