Simpson's Formulas/Sine by Sine

Theorem

 * $\sin \alpha \sin \beta = \dfrac {\map \cos {\alpha - \beta} - \map \cos {\alpha + \beta} } 2$

where $\sin$ denotes sine and $\cos$ denotes cosine.

Also see

 * Simpson's Formula for Cosine by Cosine
 * Simpson's Formula for Sine by Cosine
 * Simpson's Formula for Cosine by Sine