Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.4 - Trigonometric Functions of Any Angle - Concept and Vocabulary Check - Page 575: 4

Answer

If $\theta $ lies in quadrant III, tangent and cotangent are positive.

Work Step by Step

The values of all the trigonometric ratios are positive in quadrant I. Sine and cosecant are positive in quadrant II and the remaining functions are negative. Tangent and cotangent are positive in quadrant III and the remaining functions are negative. Cosine and secant are positive in quadrant IV and the remaining functions are negative. Thus, if $\theta $ lies in quadrant III, tangent and cotangent are positive.
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