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Trig question
Posted:
Sep 29, 2008 11:26 AM


For any n>0, consider the angles A1 = pi/2n, A2 = 2pi/2n, .., An = npi/2n.
Do there exist integers m1, m2, .., mn, not all equal to zero, such that m1*Sin(A1) + m2*Sin(A2) + .. + mn*Sin(An) = 0?



