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Find all the numbers ‘a’ for which any root of the equation Sin 3x = a sin x + (4-2|a|) sin2 x is a root of the equation Sin 3x + Cos 2x = 1 + 2 Sinx Cos2x and any root of the latter equation is a root of the former.

Find all the numbers ‘a’ for which any root of the equation Sin 3x = a sin x + (4-2|a|) sin2 x is a root of the equation Sin 3x + Cos 2x = 1 + 2 Sinx Cos2x and any root of the latter equation is a root of the former.

Grade:12th pass

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