Use the Fundamental Identities to Find the Value of the Trigonometric

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
- $2 \cos ^ { 2 } 75 ^ { \circ } - 1$

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