## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 6 - Section 6.3 - Polar Coordinates - Exercise Set - Page 743: 62

#### Answer

The rectangular equation is, $y=\sqrt{3}x$

#### Work Step by Step

Using, $\tan \theta =\frac{y}{x}$, we will convert the given polar equation to the rectangular equation. Therefore, \begin{align} & \tan \frac{\pi }{3}=\frac{y}{x} \\ & y=\tan \frac{\pi }{3}x \\ & y=\sqrt{3}x \end{align} And the graph is shown above.

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