A curve, called a witch of Maria Agnesi, consists of all possible positions of the point P

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A curve, called a witch of Maria Agnesi, consists of all possible positions of the point P in the figure. Show that parametric equations for this curve can be written as
x = 2a cot θ, y = 2a sin2θ
Sketch the curve.
A curve, called a witch of Maria Agnesi, consists of
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