math

prove alfa+Bita=90 degree,show the maximum value of cos alfa cos bita is 1/2.

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  1. that's alpha and beta.
    I'll use x and y for ease of typing.

    since the angles are complementary, cos(x) = sin(y)

    cos(x)*cos(y)
    = sin(y)*cos(y)
    = 1/2 sin(2y)

    since sin has maximum value of 1, ...

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    posted by Steve

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