Find the Exact Value Of $\sin 2 x$ Given That $\sec x = 3 / 2 , \csc y = 3$

Multiple Choice

Find the exact value of $\sin 2 x$ given that $\sec x = 3 / 2 , \csc y = 3$ , and x and y are in quadrant I

A) $\frac { \sqrt { 5 } } { 9 }$

B) $\frac { 4 \sqrt { 5 } } { 3 }$

C) $\frac { 3 \sqrt { 5 } } { 9 }$

D) $\frac { 4 \sqrt { 5 } } { 9 }$

E) $\frac { 3 \sqrt { 5 } } { 2 }$