Problem Statement:

http://i43.tinypic.com/1eoviw.png

General solution:

http://i43.tinypic.com/1z23h4z.png

Fourier series:

http://i43.tinypic.com/2md14k1.png

where $\displaystyle r_{1}=a$, $\displaystyle r_{2}=b$, $\displaystyle f_{1}(\theta)=sin(\theta)$, and $\displaystyle f_{2}(\theta)=2sin(\theta)cos(\theta)$.

By evaluating the Fourier series shown above, I determined that $\displaystyle a_{o}=b_{o}=a_{n}=b_{n}=c_{n}=d_{n}=0$.

Is this correct?