## Algebra 2 Common Core

Published by Prentice Hall

# Chapter 14 - Trigonometric Identities and Equations - 14-1 Trigonometric Identities - Practice and Problem-Solving Exercises - Page 908: 16

#### Answer

$$1$$

#### Work Step by Step

The cotangent of the angle $\theta$ is the same as the reciprocal of the tangent of the angle $\theta$ . Therefore $$\tan\theta \times \cot\theta =\tan\theta \times \frac{1}{\tan\theta}=1.$$

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