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What is the minimum value of (Sin2007x)(Cos2007x)?

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What is the minimum value of (Sin2007x)(Cos2007x)?

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  1. Let 2007x = y

    then we have sinycosy

    = sin2y / 2

    and the minimum of sin = -1

    so the minimum of sin2y / 2

    = -1/2 = -0.5 !

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