Question
Write $\cos 7 \theta \cos 3 \theta$ as sum and difference of angles.

Answer


$\begin{aligned} \cos 7 \theta \cos 3 \theta & =\frac{1}{2}[2 \cos 7 \theta \cos 3 \theta] \\ & =\frac{1}{2}[\cos (7 \theta+3 \theta)+\cos (7 \theta-3 \theta)] \\ & =\frac{1}{2}[\cos 10 \theta+\cos 4 \theta]\end{aligned}$

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