Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.2 - Trigonometric Functions: The Unit Circle - Exercise Set - Page 550: 101



Work Step by Step

Since $\pi \lt t \lt \frac{3\pi }{2}$, the point lies in the third quarter of the unit circle, so we have $\sin t \lt 0$ and $\cos t \lt 0$. Thus,$$\tan t = \frac{\sin t }{\cos t }\gt 0, \qquad \cot t =\frac{\cos t}{\sin t} \gt 0.$$
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