Simplify the Expression $1 - 2 \sin ^ { 2 } 2 x$

Multiple Choice

Simplify the expression.
- $1 - 2 \sin ^ { 2 } 2 x$

A) $\frac { 1 } { 2 } \sin 16 x$
B) $\cos 8 x$
C) $\cos 4 x$
D) $2 \sin 4 x$