$$\sin A + \sin B = $$

A

$$2 \sin \left(\frac{A-B}{2}\right) \cos \left(\frac{A+B}{2}\right)$$

B

$$2 \sin \left(\frac{A+B}{2}\right) \cos \left(\frac{A-B}{2}\right)$$

C

$$2 \sin \left(\frac{A+B}{2}\right) \sin \left(\frac{A+B}{2}\right)$$

D

$$2 \cos \left(\frac{A+B}{2}\right) \cos \left(\frac{A-B}{2}\right)$$