Solve Question 6th:

6. Given $f\left(x\right)=\sqrt{\frac{8}{1-x}}+\frac{8}{1+x} and g\left(x\right) \frac{4}{f\left(\sin x\right)}+\frac{4}{f\left(\cos x\right)}$ then g(x) is 

(A) periodic with period$\mathrm{\pi }$/2            (B) periodic with period $\mathrm{\pi }$
(C) periodic with period 2$\mathrm{\pi }$          (D) aperiodic