Polar Graphs

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Last updated 12:22 AM on 3/9/25
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16 Terms

1
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cardioid equation (sine)

r = a(1±sin θ)

2
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cardioid equation (cosine)

r = a(1±cos θ)

3
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cardioid graph

1 passes through pole

<p>1 passes through pole</p>
4
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limacon equation (sine)

r = a ± b sin θ

5
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limacon equation (cosine)

r = a ± b cos θ

6
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limacon graph (a>b)

0 passes through pole

<p>0 passes through pole</p>
7
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limacon graph (a

2 passes through pole

<p>2 passes through pole</p>
8
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rose curve equation (sine)

r = a sin (nθ)

9
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rose curve equation (cosine)

r = a cos (nθ)

10
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rose curve graph (n = 3,5,7...)

n petals

<p>n petals</p>
11
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rose curve graph (n = 2,4,6...)

2n petals

<p>2n petals</p>
12
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lemniscate equation (sine)

r² = a² sin (2θ)

13
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lemniscate equation (cosine)

r² = a² cos (2θ)

14
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lemniscate graph

chopper

<p>chopper</p>
15
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spiral equation

r = exp(aθ)

16
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spiral graph

ayahuasca

<p>ayahuasca</p>