Find the exact value of the expression using the provided information.
-$4 \sin 2 x \cos 2 x$
A) $\frac { 1 } { 2 } \sin 16 x$
B) $\cos 8 x$
C) $\cos 4 x$
D) $2 \sin 4 x$

Question

Quizplus · Accepted Answer

The expression $4 \sin 2x \cos 2x$ can be simplified using the double angle formula for sine, which is $\sin 2\theta = 2\sin\theta\cos\theta$. Applying this formula, we get $2 \sin 4x$, since $2x$ and $4x$ are the angles being doubled.

Find the Exact Value of the Expression Using the Provided 4sin⁡2xcos⁡2x4 \sin 2 x \cos 2 x4sin2xcos2x

Find the Exact Value of the Expression Using the Provided $4 \sin 2 x \cos 2 x$