Polar equations

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Last updated 8:54 PM on 2/3/26
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16 Terms

1
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Sin2θ
2sinθcosθ
2
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Cos2θ
Cos^2θ - Sin^2θ

2Cos^2θ - 1

1 - 2sin^2θ
3
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Tan2θ
(2tanθ)/(1-tan^2θ)
4
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Cos(a + B)
cosAcosB - sinAsinB
5
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Cos (A - B)
cosAcosB + sinAsinB
6
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sin(A + B)
sinAcosB + cosAsinB
7
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sin(A - B)
sinACosB - cosAsinB
8
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Rose curve Graph
AcosNθ

AsinNθ
9
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How many petals does a rose curve have
if N is even double it

If N is odd keep it
10
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Limacons equations
A +/- Bsinθ

A +/- Bcosθ
11
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Inner Loop
a/b < 1
12
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Heart shaped
a/b = 1
13
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Dimpled
1 < a/b < 2
14
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Flat edge
a/b > 2
15
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Equations
x = rcosθ

Y = rsinθ
16
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4 diffrent ways to change one point
\+r , θ + 2pi

\+r , θ -2pi

\-r , θ + pi

\-r , θ - pi