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

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 $2x$ is the angle $\theta$ in this context, making the expression equivalent to $2 \sin(2 \cdot 2x)$.

Simplify the Expression 4sin⁡2xcos⁡2x4 \sin 2 x \cos 2 x4sin2xcos2x A) 12sin⁡16x\frac { 1 } { 2 } \sin 16 x21​sin16x

Simplify the Expression $4 \sin 2 x \cos 2 x$ A) $\frac { 1 } { 2 } \sin 16 x$