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cos(4x)≡1-2sin2(2x)=1-sin2(2x)-sin2(2x).

sin(2x)≡2sin(x)cos(x); sin2(2x)≡4(sin(x)cos(x))2.

cos(4x)≡1-sin2(2x)-4(sin(x)cos(x))2.

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