Polar Graphs

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Last updated 1:28 AM on 5/4/26
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8 Terms

1
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Rose

r = sin(nθ) or r = cos(nθ)

2
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Same number of petals

odd n-value

3
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Double number of petals

even n-value

4
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Limaçons and cardioids

r = a + bsinθ or r = a + bcosθ

5
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a/b < 1

limacon with inner loop

6
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a/b = 1

cardioid (heart-shaped)

7
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1 < a/b < 2

dimpled limacon

8
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a/b ≥ 2

convex limacon