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

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Answer 1 · 2016-02-25T05:37:26

$3r=3sectheta-2tanthetasectheta$

To convert the equation $2y=−3x^2+3x$ into a polar equation, we should use $y=rcostheta$ and $x=rsintheta$ .

Putting these, the equation becomes

$2rsintheta=-3r^2cos^2theta+3rcostheta$ dividing by $r$ and transposing

or $3rcos^2theta=3costheta-2sintheta$

or $3r=3sectheta-2tanthetasectheta$

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