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R = asinθ
Circle

R = a
Circle

R = 4cosθ
circle

R = 6
Circle

R = a ± asinθ
Cardioid

R = 5-5sinθ
Cardioid

R = asin(2θ)
4-Leaf Rose

R = asin(3θ)
3-Leaf Rose

R = 5sin(2θ)
4-Leaf Rose

R = sin(3θ)
3-Leaf Rose

R = a ± bsinθ
Limaçon

R = 2 ± 1sinθ
Limaçon

R = 5 ± 7sinθ
Limaçon (with extra loop)

R² = a² sin(2θ)
Lemniscate

R² = sin2θ
Lemniscate
