Answer
Undefined.
Work Step by Step
As $\frac{3\pi}{2}$ is along the $-y$ axis, $tan(\frac{3\pi}{2})$ is undefined.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 6 - The Circular Functions and Their Graphs - Test - Page 650: 11
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