How do you convert $r=2csctheta$ to rectangular form?

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Answer 1 · 2016-05-24T06:25:49

$y=2$

To convert polar coordinates $(r,theta)$ to rectangular coordinates $(x,y)$ the relation is

$x=rcostheta$ , $y=rsintheta$ , $r^2=x^2+y^2$

Hence $r=2csctheta$ is equivalent to

$r=2/sintheta=2/(y/r)$ or

$r=2r/y$ or $y=2$

How do you convert r=2csctheta r=2csctheta to rectangular form?