$Sin A + Sin B = 2 Sin \frac{A + B}{2} . Cos \frac{A - B}{2}$ $Sin A - Sin B = 2 Cos \frac{A + B}{2} . Sin \frac{A - B}{2}$ $Cos A + Cos B = 2 Cos \frac{A + B}{2} . Cos \frac{A - B}{2}$ $Cos A - Cos B = -2 Sin \frac{A + B}{2} . Sin \frac{A - B}{2}$
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