Question

How do you write the polar equation `r=2csctheta` in rectangular form?

Answer 1

I found: `y=2`

Explanation:

I first rearranged the given equation:
`r=2csc(theta)`
`r=2/sin(theta)`
`rsin(theta)=2`

I then used the conversion formulae to change from polar to rectangular as follows:
`x=rcos(theta)`
`y=rsin(theta)`

Using the second of the above into our expression `rsin(theta)=2` we se that:
`y=2`