Find the Exact Value of the Expression $\sin 330 ^ { \circ } \sin 270 ^ { \circ }$

Multiple Choice

Find the exact value of the expression. Do not use a calculator.
- $\sin 330 ^ { \circ } \sin 270 ^ { \circ }$

A) $- \frac { \sqrt { 3 } } { 2 }$
B) $\frac { \sqrt { 3 } } { 2 }$
C) $- \frac { 1 } { 2 }$
D) $\frac { 1 } { 2 }$