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$\cos x\cos 2x = \cos 3x$

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Add and subtract like terms

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Q.

\cos x\cos 2x = \cos 3x

Apply Cosine Angle Addition Formula: Use the cosine angle addition formula, $\cos(A + B) = \cos(A)\cos(B) - \sin(A)\sin(B)$ , to express $\cos(3x)$ in terms of $\cos(x)$ and $\cos(2x)$ . $\newline$ $\cos(3x) = \cos(2x + x)$ $\newline$ $= \cos(2x)\cos(x) - \sin(2x)\sin(x)$
Express $\cos(3x)$ in terms: Compare the given equation $\cos(x)\cos(2x) = \cos(3x)$ with the expanded form. $\newline$ $\cos(x)\cos(2x) = \cos(2x)\cos(x) - \sin(2x)\sin(x)$

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