If $$\tan\theta=\frac{\sin\alpha-\cos\alpha}{\sin\alpha+\cos\alpha}$$ then $$\sin\alpha+\alpha$$ is

A

$$\pm\sqrt{2}\sin\theta$$

B

$$\pm\sqrt{2}\cos\theta$$

C

$$\pm\frac{1}{\sqrt{2}}\sin\theta$$

D

$$\pm\frac{1}{\sqrt{2}}\cos\theta$$