Find the cartesian equation for the curve r=csctheta
The Attempt at a Solution
I understand how to get the answer, by changing it to r=1/sin, and then rsin=1, and then since y=rsin, then y=1.
What I'm not understanding is the relationship between y=1 an r=csc. I thought that when you convert to a cartesian equation, it's supposed to either look the same when graphed or be able to be used to plot the r and theta coordinates onto a polar plane. But y=1 translates to r=1 on a polar plane, and r=csc is nothing like that?? What am I not understanding here?