## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 5 - Section 5.1 - Verifying Trigonometric Identities - Exercise Set - Page 658: 4

#### Answer

$\cot (-x) \sin x=-\cos x$

#### Work Step by Step

We need to prove the identity $\cot (-x) \sin x=-\cos x$ Since, $\cot x=\dfrac{\cos x}{\sin x}$ Then, we have $\cot (-x) \sin x=-\cot x \sin x$ $=- \dfrac{\cos x}{\sin x} \times \sin x$ $=-\cos x$ which is the left hand side. Thus, the identity has been proved.

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