Hello, I'm having a problem involving polar coordinates and writing an equation using rectangular coordinates. Here are the directions and the problem:
The letters r and θ represent polar coordinates. Write each equation using rectangular coordinates (x,y).
I attempted to work on the problem, but I eventually got stuck. Here is my attempt:
r = (3)/[3-cos(θ)]
r[3-cos(θ)] = 3
3r - rcos(θ) = 3
[3r - rcos(θ)]2 = 32
9r2 - 6r2cos(θ) + r2cos(θ) = 9
9r2 - 5r2cos(θ) = 9
After that, I'm not exactly sure on what I need to do. I would turn the r2 into x2 + y2, but I'm not sure what to do with the 5r2cos(θ).