Prosthaphaeresis Formulas/Sine plus Sine

Theorem

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

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

Also reported as
This result is also sometimes reported as:


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