Find the Exact Value of the Expression $\left( \sin 60 ^ { \circ } \right) ^ { 2 } - \left( \cos 60 ^ { \circ } \right) ^ { 2 }$

Multiple Choice

Find the exact value of the expression. $\left( \sin 60 ^ { \circ } \right) ^ { 2 } - \left( \cos 60 ^ { \circ } \right) ^ { 2 }$

A) $\frac { 3 } { 4 }$

B) $\frac { 1 } { 2 }$

C) $\frac { \sqrt { 3 } } { 4 }$

D) $\frac { 3 } { 2 }$

E) $\frac { 1 } { 4 }$