Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 115: 75


$d=r(1-\cos \frac{\theta}{2})$

Work Step by Step

Step 1: $d$ is the difference between $r$ and $h$. Step 2: $d=r-h$ Step 3: Since $h=r\cos \frac{\theta}{2}$, $d=r-h=r-(r\cos \frac{\theta}{2})=r(1-\cos \frac{\theta}{2})$
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