Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.3 Properties of the Trigonometric Functions - 5.3 Assess Your Understanding - Page 418: 82



Work Step by Step

Since $\cot{\theta}= \dfrac{\cos{\theta}}{\sin{\theta}}$ Then, $\dfrac{\cos{20^{\circ}}}{\sin{20^{\circ}}} = \cot{20^{\circ}}$ Therefore, $\cot{20^{\circ}} - \dfrac{\cos{20^{\circ}}}{\sin{20^{\circ}}} = \cot{20^{\circ}} - \cot{20^{\circ}} = \boxed{0}$
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