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

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Answer 1 · 2016-10-20T09:07:11

$y+2=0$

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

$x=rcostheta$ and $y=rsintheta$ or $r^2=x^2+y^2$

Hence $r=-2csctheta$ can be written as

$r=-2/sintheta$

or $rsintheta=-2$

or $y=-2$

or $y+2=0$

How do you convert r=-2cscΘr=-2cscΘ to rectangular form?