Question

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

Answer 1

`y=2`

Explanation:

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`