设$$\triangle ABC$$的内角$$A,  B,  C$$所对的边$$a,  b,  c$$成等比数列，则$$\frac{\sin A+\cos A\tan C}{\sin B+\cos B\tan C}$$的取值范围是．
选项为:A:$$\left(0,  +\infty \right)$$  B:$$\left( 0,\frac{\sqrt{5}+1}{2} \right)$$  C:$$\left( \frac{\sqrt{5}-1}{2},\frac{\sqrt{5}+1}{2} \right)$$  D:$$\left( \frac{\sqrt{5}-1}{2},  +\infty \right)$$  请回答其中一个选项.