31. Prove that: sin 3x sin3x + cos 3x cos3x = cos3
2x.
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Prove sin3xsin3x+cos3xcos3x=cos32x.
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sin 3x = 3 sin x - 4 sin ^3 x sin ^3 x = 14 (3 sin x - sin 3x) Similarly, cos ^3 x = 1/4 (3 cos x + cos 3x) L.H.S. = 1/4 [ sin 3x (3 sin x - sin 3x) + cos
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