Question
Express the following as a sum or difference of two trigonometric functions : $2 \cos 4 \theta \cos 2 \theta$

Answer

$\begin{aligned}
& \text2 \cos 4 \theta \cos 2 \theta=\cos (4 \theta+2 \theta)+\cos (4 \theta-2 \theta) \\
& =\cos 6 \theta+\cos 2 \theta
\end{aligned}$

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