How do you convert $r= 45 / (5sin(t)+36cos(t))$ into cartesian form?

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Answer 1 · 2016-09-01T01:39:07

$5y+36x=45$

The relation between Cartesian coordinates $(x,y)$ and polar coordinates $(r,t)$ is given by $x=rcos(t)$ and $y=rsin(t)$ .

Hence, $r=45/(5sin(t)+36cos(t))$

$hArr5rsin(t)+36rcos(t)=45$ or

$5y+36x=45$

How do you convert r= 45 / (5sin(t)+36cos(t)) r= 45 / (5sin(t)+36cos(t)) into cartesian form?