Answer
$$\tan \theta=\frac{b}{a}.$$
Work Step by Step
We know that $\tan \theta=\frac{y}{x}$. This can also be thought of as $\frac{opposite}{adjacent}$ (recall SOH-CAH-TOA). Thus, we have:
$$\tan \theta=\frac{b}{a}.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 8 - Polar Coordinates; Vectors - Section 8.1 Polar Cordinates - 8.1 Assess Your Understanding - Page 591: 3
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