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: 51


The polar equation of $x=7$ that expresses $r$ in terms of $\theta $ is $r=\frac{7}{\cos \theta }$.

Work Step by Step

The relation between polar coordinates and rectangular coordinate $x$ can be expressed as below: $x=r\cos \theta $ (2) Substitute the value of $x\ $ from equation (2) into equation (1) to get, $\begin{align} & x=7 \\ & r\cos \theta =7 \\ & r=\frac{7}{\cos \theta } \end{align}$
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