Math,Polar coordinates problem, help?
two equations r=1+cosθ and r=1-cosθ on the same coordinate system
a) give the coordinates of the points of intersection
b)Algebraically find the points of intersection by solving the equation 1-cosθ=1+cosθ
c)How does this compare to your answer in (a)?
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It seems to me that they are the same cardioid curve but gone round in opposite directions, and so they intersect everywhere.