I'm trying to express the polar rose as an implicit function:(adsbygoogle = window.adsbygoogle || []).push({});

r(t)=sin t

x = sin t * cos t

y = sin^2 t

Since sin t * cos t = (1/2) * sin 2t and sin^2 t = (1/2) * (1-cos 2t)

(2x)^2 + (1-2y)^2 = 1

4x^2 -4y + 4y^2 = 0

When I plot this, Maple plots a circle, where have I gone wrong?

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# Polar rose

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