# Math Help - Polar Coordinates Question

1. ## Polar Coordinates Question (Solved)

Um, how would one convert this rectangular equation into polar form:

(x+1)^2 + (y-4)^2 = 17

2. Put $x=\rho\cos\theta, \ y=\rho\sin\theta$. Then

$(\rho\cos\theta+1)^2+(\rho\sin\theta-4)^2=17$

$\rho^2(\cos^2\theta+\sin^2\theta)+2\rho\cos\theta-8\rho\sin\theta=0$

$\rho^2+2\rho(\cos\theta-4\sin\theta)=0$

3. Many thanks. I solved this problem differently, but I was checking to match up answers.

4. Then you should have given the answer first and asked others to check it. Many people will not simply give you the answer to a home work problem.

5. Well, it was actually to study before a test, but yes, if I do have similar problems, I will post up next time.