Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Review Exercises - Page 131: 66b

Answer

$F(\frac{\pi}{2})=\frac{1}{2}$ This means that half of the moon's face illuminated by the sun.

Work Step by Step

$F(t)=\frac{1}{2}(1-\cos t)$ For $F(\frac{\pi}{2})$, the phase angle $t=\frac{\pi}{2}$. Substituting $t=\frac{\pi}{2}$ in the equation, $F(\frac{\pi}{2})=\frac{1}{2}(1-\cos \frac{\pi}{2})$ $F(\frac{\pi}{2})=\frac{1}{2}(1-0)$ $F(\frac{\pi}{2})=\frac{1}{2}(1)$ $F(\frac{\pi}{2})=\frac{1}{2}$ This means that half of the moon's face illuminated by the sun.
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