If $$(1+sin\alpha)(1+sin\beta)(1+sin\gamma)=(1-sin\alpha)(1-sin\beta)(1-sin\gamma)$$ then each side is equal to

A

$$\pm cos \alpha cos\beta cos\gamma$$

B

$$\pm sin\alpha sin\beta sin\gamma$$

C

$$\pm sin\alpha cos\beta cos\gamma$$

D

$$\pm sin\alpha sin\beta cos\gamma$$