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Arc Tangent Squared

  1. Mar 24, 2010 #1
    1. The problem statement, all variables and given/known data
    tan(2x) - 3 cot (2x) = 0


    2. Relevant equations

    Trigonometry Knowledge.

    3. The attempt at a solution

    tan(2x) - 3cot(2x) = 0
    tan(2x) - 3/tan(2x) = 0

    [tan(2x)]^2 - 3 = 0

    [tan(2x)]^2 = 3


    Is there such thing as Arc Tangent thats squared??
     
  2. jcsd
  3. Mar 24, 2010 #2

    vela

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    Sure. Why not?
     
  4. Mar 24, 2010 #3
    so [arctan(3)]^2 = arctan(3) * arctan(3)

    ?
     
  5. Mar 24, 2010 #4

    vela

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    What you wrote is true, but it has nothing to do with how you'd solve the problem.

    Try setting u=tan 2x, so your equation becomes u2=3. Then solve for u, and then solve for x.
     
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