Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.3 Polar Coordinates - Exercises - Page 617: 10


$r=2\csc \theta$ represents the horizontal line $y=2$.

Work Step by Step

We have $r=2\csc \theta\Longrightarrow r\sin\theta =2=y$. Also, $r=2\sec \theta\Longrightarrow r\cos\theta =2=x$. Since the horizontal line has the form $y=c$, then $r=2\csc \theta$ represents the horizontal line $y=2$.
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