Polar graphs with animation

Rose
\[r=5sin(3\theta)\] \[r=5cos(3\theta)\]
\[r=sin(2\theta)\] \[r=cos(2\theta)\]

Limaçon
\[r=1 + 2cos(\theta)\] \[r=2 - sin(\theta)\]

Lemniscate
\[r^2=4cos(2\theta)\] \[r^2=sin(2\theta)\]



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