Use Identities to Find the Exact Value $\sin 4 x$ A) $\cos ^ { 3 } x - 3 \sin ^ { 2 } x \cos x$

Multiple Choice

Use Identities to find the exact value.
Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.
- $\sin 4 x$

A) $\cos ^ { 3 } x - 3 \sin ^ { 2 } x \cos x$
B) $1 - 8 \sin ^ { 2 } x \cos ^ { 2 } x$
C) $4 \sin x \cos ^ { 3 } x - 4 \sin ^ { 3 } x \cos x$
D) $3 \sin x - 4 \sin ^ { 3 } x$