## 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: 8

#### Answer

$\sin{\theta} \cot{\theta}=\cos\theta$ Refer to the step-by-step part below for the proof.

#### Work Step by Step

Work on the left hand side: Step 1: By definition, replace $\cot\theta$ with $\frac{\cos\theta}{\sin\theta}$ Hence, $\sin\theta\cot\theta=\sin\theta\times\frac{\cos\theta}{\sin\theta}$ Step 2: Cancel out $\sin\theta$ Hence, $\sin\theta\cot\theta=\cos\theta$

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