Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Section 8.2 Polar Equations and Graphs - 8.2 Assess Your Understanding - Page 606: 15

Answer

$y=\sqrt 3x$ line passing the pole with an angle of $\frac{\pi}{3}$ to the polar axis. See graph.

Work Step by Step

1. Use the formula $tan\theta=\frac{y}{x}$, we have $\theta=\frac{\pi}{3}\rightarrow \frac{y}{x}=tan\frac{\pi}{3}=\sqrt 3$, or $y=\sqrt 3x$ 2. We can identify the above equation as a line passing the pole with an angle of $\frac{\pi}{3}$ to the polar axis. 3. See graph.
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