Convert x^3 -y^3 = 6xy into polar equation

  • Thread starter Thread starter Seung Tai Kang
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Seung Tai Kang

Homework Statement


Convert x3 -y3 = 6xy into polar equation.

Homework Equations


x=rcosθ
y=rsinθ
x2 +y2 = r2

The Attempt at a Solution


r3cos3θ - r3sin3θ = 6r2sinθcosθ

r(cos2θ/sinθ - sin2θ/cosθ) = 6

r(cosθcotθ -sinθtanθ) =6
r = 6/(cosθcotθ - sinθtanθ)
 
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It looks correct to me.
 

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