1. In a tri ABC the median AD and the altitude AM divides the angle A in three equal parts.Show that \Delta (cos A/3.sin2A/3) = 3a3 /128R .
2. In a \Delta abc the lengths of the bisectors of the angles A, B and c are x,y and z respectively. Show that 1/x cos A/2 + 1/y cos B/2 + 1/z cos C/2 = 1/a + 1/b +1/c
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