Prove that among any four distinct numbers from the interval (0,pi/2) there are two, say, x and y such that 8 cos x cos y cos (x-y) + 1>4(cos^2 x + cos^2 y)
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Originally Posted by hooke Prove that among any four distinct numbers from the interval (0,pi/2) there are two, say, x and y such that 8 cos x cos y cos (x-y) + 1>4(cos^2 x + cos^2 y) I came up to this so far:
Originally Posted by hooke Prove that among any four distinct numbers from the interval (0,pi/2) there are two, say, x and y such that 8 cos x cos y cos (x-y) + 1>4(cos^2 x + cos^2 y) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . If you have four numbers between 0 and then at least two of them must be less than distance apart.
Originally Posted by Opalg . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . If you have four numbers between 0 and then at least two of them must be less than distance apart. Thanks again Opalg.
Last edited by hooke; Jun 15th 2011 at 06:43 AM.
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