Answer
See explanations.
Work Step by Step
Step 1. $LHS=sin(2x)=2sin(x)cos(x)$
Step 2. $RHS=2cot(x)sin^2x=2(\frac{cos(x)}{sin(x)})sin^2x=2sin(x)cos(x)$
Step 3. Since $LHS=RHS$, we verified the identity.
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 9 - Section 9.6 - Conic Sections in Polar Coordinates - Exercise Set - Page 1032: 57
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