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Consider the identity for \(\cos(A + B)\).
  1. By setting \(A = B = \theta\), derive the double-angle formula for cosine: \(\cos 2\theta = 2\cos^2 \theta - 1\).
  2. Using the result from part (1) or otherwise, express \(\cos 3\theta\) in terms of \(\cos \theta\).

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