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Trig equation

  1. Jul 21, 2012 #1
    1. The problem statement, all variables and given/known data

    Solve, finding all solutions in [0, 2pi)


    2. Relevant equations

    sqrt (cot x) = (3)^(1/4)

    3. The attempt at a solution

    [sqrt (cot x) = (3)^(1/4)]^4 =

    sqrt [cot^2 x = 3] =

    cot x = +/- sqrt (3)

    x = pi/6, 5pi/6, 7pi/6, 11pi/6

    the answer choices to this problem only have two angles each, so two of the angles I derived aren't necessary
     
  2. jcsd
  3. Jul 21, 2012 #2
    Since the original problem has (cot x), the solution can't include the values corresponding to cot x = -√3.
     
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