Problem

Expand the expression \(\cos(3x)\) using the triple-angle formula.

Answer

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Answer

Therefore, the expansion of \(\cos(3x)\) will be \(4\cos^3(x) - 3\cos(x)\).

Steps

Step 1 ：We know that the triple-angle formula for cosine is \(\cos(3x) = 4\cos^3(x) - 3\cos(x)\).

Step 2 ：Therefore, the expansion of \(\cos(3x)\) will be \(4\cos^3(x) - 3\cos(x)\).

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