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Points of intersection with polar equations

  • #1

Homework Statement


I have to find all of the points of intersection of the curves...

r2 = sin(2θ)
r2 = cos(2θ)


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.
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
Why not just divide by cos2θ and solve tan2θ=1?
 
  • #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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