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Question:

Find the general solution: cos4x = cos2x

Solution:

cos4x = cos2x ⇒ 2cos²2x - cos2x = 0 ⇒ cos2x = 0, 1 ⇒ 2x = 2nπ ± π/3, 2nπ ⇒ x = nπ ± π/6, nπ