Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - Review Exercises - Page 744: 76

Answer

$$y = 3$$

Work Step by Step

$$\eqalign{ & r = 3\csc \theta \cr & r = 3\left( {\frac{1}{{\sin \theta }}} \right) \cr & {\text{Multiply both sides of the equation by }}\sin \theta \cr & r\sin \theta = 3 \cr & {\text{Convert to rectangular form, using }}y = r\sin \theta \cr & y = 3 \cr & {\text{The equation represents a horizontal line}}{\text{.}} \cr & {\text{Graph}} \cr} $$
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