1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


    User Avatar
    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)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook