Express the Product as a Sum Containing Only Sines or Cosines

Express the product as a sum containing only sines or cosines.
- $\sin ( 4 \theta ) \cos ( 2 \theta )$

A) $\sin \cos \left( 8 \theta ^ { 2 } \right)$
B) $\frac { 1 } { 2 } [ \sin ( 6 \theta ) + \sin ( 2 \theta ) ]$
C) $\frac { 1 } { 2 } [ \sin ( 6 \theta ) + \cos ( 2 \theta ) ]$
D) $\frac { 1 } { 2 } [ \cos ( 6 \theta ) - \cos ( 2 \theta ) ]$

Correct Answer:

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