Answer
Please see below.
Work Step by Step
We verify as follows:
$$\frac{2\tan x}{1+\tan ^2x}=2\tan x \cos ^2x= 2\frac{\sin x }{\cos x}\cos ^2 x=2\sin x \cos x= \sin 2x = \frac{1}{\csc 2x}$$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 5 - Mid-Chapter Check Point - Page 684: 17
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