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Find all values of 'a' for which every r...

Find all values of 'a' for which every root of the équation, `a cos 2x +|a| cos 4x+ cos 6x=1` is also a root of the equation, `sinx cos 2x=sin2x cos3x-1/2sin 5x`, and conversely, every root of the second equation is also a root of the first equation.

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