Consider the equation:

$\displaystyle \sum_{n=0}^\infty d_{n}P_{n}(x) \hspace{1mm} = \hspace{1mm} sin(x)$

where $\displaystyle P_{n}(x)$ is the Legende polynomial of degree n.

How can I find out the value of each $\displaystyle d_{1}, d_{2}, d_{3},...$?