Trigonometry (10th Edition)

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

Chapter 3 - Review Exercises - Page 131: 66a

Answer

$F(0)=0$ This means that the fraction of the moon's face illuminated by the sun is zero.

Work Step by Step

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