JEE Math Practice Question

If A = $$\left[ {\begin{matrix} 1 & {\sin \theta } & 1 \\ { - \sin \theta } & 1 & {\sin \theta } \\ { - 1} & { - \sin \theta } & 1 \\ \end{matrix} } \right]$$; then for all $$\theta $$ $$ \in $$ $$\left( {{{3\pi } \over 4},{{5\pi } \over 4}} \right)$$, det (A) lies in the interval :

1. A.$$\left( {{3 \over 2},3} \right]$$
2. B.$$\left( {0,{3 \over 2}} \right]$$
3. C.$$\left[ {{5 \over 2},4} \right)$$
4. D.$$\left( {1,{5 \over 2}} \right]$$