Complete the identity.
-$8 \sin x \cos ^ { 3 } x + 8 \sin ^ { 3 } x \cos x =$ ?
A) $4 \sin 2 x$
B) $4 \cos 2 x$
C) $4 \sin x$
D) $4 \cos x$

Question

Quizplus · Accepted Answer

The given expression can be simplified using trigonometric identities. Factor out $8 \sin x \cos x$, we get $8 \sin x \cos x (\cos^2 x + \sin^2 x)$. Since $\cos^2 x + \sin^2 x = 1$, the expression simplifies to $8 \sin x \cos x$, which is $4(2 \sin x \cos x)$. The identity $2 \sin x \cos x = \sin 2x$ allows us to rewrite the expression as $4 \sin 2x$.

Complete the Identity 8sin⁡xcos⁡3x+8sin⁡3xcos⁡x=8 \sin x \cos ^ { 3 } x + 8 \sin ^ { 3 } x \cos x =8sinxcos3x+8sin3xcosx=

Complete the Identity $8 \sin x \cos ^ { 3 } x + 8 \sin ^ { 3 } x \cos x =$