Answer
$r=\frac{12}{1-6sin\theta}$.
Work Step by Step
1. Based on the given direction and position of the directrix, we know the equation has a form
$r=\frac{ep}{1-e\ sin\theta}$,
2. With $e=6$ and $p=2$, we have $r=\frac{12}{1-6sin\theta}$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 9 - Analytic Geometry - Section 9.6 Polar Equations of Conics - 9.6 Assess Your Understanding - Page 704: 41
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