How do you convert $3 y = 2 x - 2$ $3y= 2x-2$ into a polar equation?

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How do you convert $3 y = 2 x - 2$ $3y= 2x-2$ into a polar equation?

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Answer 1 · 2016-06-16T18:32:58

$2 r cos θ - 3 r sin θ - 2 = 0 .$ $2rcostheta-3rsintheta-2=0.$

Explanation:

To convert a cartesian eqn. into a polar one, the following formulas are used ; $x = r cos θ, y = r sin θ .$ $x=rcostheta, y=rsintheta.$

Using these, given eqn. becomes, $3 r sin θ = 2 r cos θ - 2,$ $3rsintheta=2rcostheta-2,$ or, $2 r cos θ - 3 r sin θ - 2 = 0 .$ $2rcostheta-3rsintheta-2=0.$

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How do you convert $3 y = 2 x - 2$ $3y= 2x-2$ into a polar equation?

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