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## Homework Statement

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

r

^{2}= sin(2θ)

r

^{2}= cos(2θ)

## The Attempt at a Solution

sin(2θ) = cos(2θ)

2sinθcosθ = cos

^{2}θ - sin

^{2}θ

2sinθcosθ - cos

^{2}θ = -sin

^{2}θ

cosθ(2sinθ - cosθ) = -sin

^{2}θ

This is where I'm having a problem, I'm not sure what to do from here.