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    helpless06's Avatar
    helpless06 Posts: 12, Reputation: 1
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    #1

    Nov 12, 2007, 11:14 AM
    Solve the equation
    |(cot^2)2x + 8 sqrt(-cot2x) - 3|=|(cot^2)2x - 8 sqrt(-cot2x) - 3|
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Nov 12, 2007, 12:16 PM
    I think this equation leads to either:

    (a) the midddle term is 0, so that -cot(2x) =0, or
    (b) the sum of the other two terms is 0, so that cot^2(2x)-3 = 0. This leads to two solutions, but since -cot(2x) must be positive (so that the middle term with the square root is valid) only one of those solutions is possible.

    From this you get a series of values for x that satisfy either (a) or (b). Can you go from there?

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