Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Test - Page 138: 11

Answer

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Work Step by Step

Recall: (1) An angle and its reference angle either have the same trigonometric function values or differ only in signs. (2) $\tan{\theta} = \dfrac{y}{x}$ $\frac{3\pi}{2}$ is a special angle whose terminal side is the negative y-axis.. Note that the negative y-axis intersects the unit circle at the point $(0, -1)$. Therefore, $\tan{(\frac{3\pi}{2})}=\frac{-1}{0}$, which is undefined.
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