How do you convert the polar equation $r=5/(4costheta-2sintheta)$ into rectangular form?

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Answer 1 · 2016-10-28T14:10:57

$4x-2y=5$

The relation between polar coordinated $(r,theta)$ and Cartesian rectangular coordinates $(x,y)$ is given by

$x=rcostheta$ and $y=rsintheta$

Hence $r=5/(4costheta-2sintheta)$

$hArr4rcostheta-2rsintheta=5$

or $4x-2y=5$

How do you convert the polar equation r=5/(4costheta-2sintheta)r=5/(4costheta-2sintheta) into rectangular form?