## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 9 - Section 9.6 - Conic Sections in Polar Coordinates - Exercise Set - Page 1030: 12

#### Answer

See graph and explanations.

#### Work Step by Step

Step 1. Compare the given equation $r=\frac{2}{1-sin\theta}$ with one of the standard forms. Step 2. We can identify $e=1, ep=2, p=2$; the conic is a parabola with directrix $y=-2$ Step 3. Based on the standard plot, with test values, we can graph the equation as shown in the figure.

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