Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.5 The Chain Rule - 2.5 Exercises - Page 160: 87

Answer

$θ°$ =$(\frac{\pi}{180})θ$ $rad$ $\frac{d}{dθ}(sinθ°)$ = $\frac{d}{dθ}(sin{\frac{\pi{θ}}{180}})$ $\frac{d}{dθ}(sinθ°)$ = ${\frac{\pi}{180}}(cos{\frac{\pi{θ}}{180}})$ $\frac{d}{dθ}(sinθ°)$ = ${\frac{\pi}{180}}(cosθ°)$

Work Step by Step

$θ°$ =$(\frac{\pi}{180})θ$ $rad$ $\frac{d}{dθ}(sinθ°)$ = $\frac{d}{dθ}(sin{\frac{\pi{θ}}{180}})$ $\frac{d}{dθ}(sinθ°)$ = ${\frac{\pi}{180}}(cos{\frac{\pi{θ}}{180}})$ $\frac{d}{dθ}(sinθ°)$ = ${\frac{\pi}{180}}(cosθ°)$
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