Answer
ellipse; see graph.
Work Step by Step
Step 1. Rewrite the equation as $r=\frac{2}{1+\frac{1}{2}sin\theta}$; we can identify $e=\frac{1}{2}$, which gives an ellipse.
Step 2. We can graph the polar equation as shown in the figure.
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 9 - Test - Page 1037: 17
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