Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.4 Using the Definitions of the Trigonometric Functions - 1.4 Exercises: 82

Answer

$\cot\theta=\frac{\cos\theta}{\sin\theta}$

Work Step by Step

1. Start by taking the reciprocal of both sides of the tangent equation $(\frac{\sin\theta}{\cos\theta})^{-1}=(\tan\theta)^{-1}$ $\frac{\cos\theta}{\sin\theta}=\frac{1}{\tan\theta}$ 2. One over tangent is a cotangent. That it is $\cot\theta=\frac{\cos\theta}{\sin\theta}$
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