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Polar Equations
Polar Equations
16
Mathematics
11th Grade
04/16/2012
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Cards

Term
x=
 Definition
rcosΘ
Term
y=
 Definition
rsinΘ
Term
r^2=
 Definition
x^2+y^2
Term
tanΘ=
 Definition
y/x
Term
r=#
 Definition
circle with that radius
Term
Θ=π/4
 Definition
linear line.
Term
rsinΘ=#
 Definition
horizontal line
Term
rcosΘ=#
 Definition
verticle line
Term
r=#sinΘ
 Definition

Steps:

Solve for r and make a table.

 Plot points
Term

r=a+-bsinΘ

r=a+-bcosΘ

 Definition
Cardiods
Term
r=a+-bsinΘ
r=a+-bcosΘ
a=b
 Definition
cardiod
Term

r=a+-bsinΘ
r=a+-bcosΘ

a<b

 Definition
limacon=loopacon
Term
r=a+-bsinΘ
r=a+-bcosΘ
a>b
 Definition
Limacon flat
Term

r=asin(nΘ)

r=acos(nΘ)
n-> even 2*n petals
n -> odd n=# of petals
a= length

 Definition
Rose
Term

r^2=a^2sin(2Θ)

r^2=a^2cos(2Θ)

 Definition
Lemniseates: propellers
Term
Θ in exponient
 Definition
spirals
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