Question

How do you convert `y = 3` to polar form?

Answer 1

`r=3csctheta`

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 `y=3` is equivalent to

`rsintheta=3` or

`r=3/sintheta` or `r=3csctheta`