Simplify the expression.
-$$\cos ^ { 2 } 4 x - \sin ^ { 2 } 4 x$$
A) $\cos 8 x$
B) $2 \sin 4 x$
C) $\frac { 1 } { 2 } \sin 16 x$
D) $\cos 4 x$

Name: Simplify the expression. -\[\cos ^ { 2 } 4 x - \sin ^ { 2 } 4 x\] A) $\cos 8 x$ B) $2 \sin 4 x$ C) $\frac { 1 } { 2 } \sin 16 x$ D) $\cos 4 x$
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Quizplus · Accepted Answer

This expression can be simplified using the trigonometric identity $\cos^2 \theta - \sin^2 \theta = \cos 2\theta$. Applying this identity with $\theta = 4x$, we get $\cos 8x$.

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Simplify the Expression $\cos ^ { 2 } 4 x - \sin ^ { 2 } 4 x$