Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Section 5.1 - Verifying Trigonometric Identities - Exercise Set - Page 658: 2

Answer

$\cos x \csc x=\cot x$

Work Step by Step

We need to prove the identity $\cos x \csc x=\cot x$ Since, $\csc x=\dfrac{1}{\sin x}$ and $\cot x=\dfrac{\cos x}{\sin x}$ Then, we have $\cos x \times\dfrac{1}{\sin x}=\dfrac{\cos x}{\sin x}$ $=\cot x$ which is the left hand side. Thus, the identity has been proved.
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