Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.3 - Polar Coordinates - Exercise Set - Page 743: 52


$r=\frac{3}{\sin \theta }$.

Work Step by Step

Rectangular equation is $y=3$ …… (I) The relation between polar coordinates and rectangular coordinate $y$ can be expressed as below: $y=r\sin \theta $ …… (II) Substitute values of $x\ $ from (II) in (I) to get $\begin{align} & y=3 \\ & r\sin \theta =3 \\ & r=\frac{3}{\sin \theta } \end{align}$ Hence the obtained polar expression is $r=\frac{3}{\sin \theta }$.
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