Answer
$x^2-6y-9=0$,
Parabola.
Work Step by Step
$r=\frac{3csc\theta}{csc\theta-1}$,
$r=\frac{3}{1-sin\theta}$,
$r=3+r\ sin\theta$,
$r^2=(3+r\ sin\theta)^2$,
$x^2+y^2=(3+y)^2$,
$x^2-6y-9=0$,
Parabola.
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: 36
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