Answer
See below.
Work Step by Step
$LHS=\frac{sin2\theta+sin4\theta}{cos2\theta+cos4\theta}
==\frac{2sin\frac{2\theta+4\theta}{2}cos\frac{2\theta-4\theta}{2}}{2cos\frac{2\theta+4\theta}{2}cos\frac{2\theta-4\theta}{2}}
=tan(3\theta)
=RHS$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Chapter Review - Review Exercises - Page 527: 43
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