olymmath

VMO 1975 Problem 5

    Show that the sum of the (local) maximum and minimum values of the function tan(3x)tan3x\frac{tan(3x)}{tan^3x} on the interval (0,π2)\big(0, \frac{\pi }{2}\big) is rational.

    Dataset text AI-MO AoPS. Quoted with source.

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