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Points of intersection with polar equations

  1. Mar 16, 2010 #1
    1. The problem statement, all variables and given/known data
    I have to find all of the points of intersection of the curves...

    r2 = sin(2θ)
    r2 = cos(2θ)

    3. The attempt at a solution

    sin(2θ) = cos(2θ)
    2sinθcosθ = cos2θ - sin2θ
    2sinθcosθ - cos2θ = -sin2θ
    cosθ(2sinθ - cosθ) = -sin2θ

    This is where I'm having a problem, I'm not sure what to do from here.
  2. jcsd
  3. Mar 16, 2010 #2


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    Homework Helper

    Why not just divide by cos2θ and solve tan2θ=1?
  4. Mar 16, 2010 #3
    Aww. Yep you're right, thanks. (Today is not a math day for me; I temporarily forgot how to factor earlier, haha)
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