Find the Exact Value Of $\sin 2 x$ Given That $\sec x = \frac { 3 } { 2 } , \quad \csc y = 3$

Multiple Choice

Find the exact value of $\sin 2 x$ given that $\sec x = \frac { 3 } { 2 } , \quad \csc y = 3$
, 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) $\frac { 3 \sqrt { 5 } } { 2 }$