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

Name: 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=2 a cotθ y=2 a sin ^2θ Sketch the curve.
Uploaded: 2023-07-18T16:28:18-08:00
Duration: 2 min 53 s
Channel: Adi S
Description: 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=2 a cotθ y=2 a sin ^2θ Sketch the curve.

Question

Bradley Duda · Accepted Answer

1. In the given figure, we have a circle with radius $a$ and center at $(0, a)$. Let $O$ be the

Question

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 $$ x=2 a \cot \theta \quad y=2 a \sin ^{2} \theta $$ Sketch the curve.

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