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Express the Product as a Sum Containing Only Sines or Cosines

Question 1

Multiple Choice

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


A) 12[cos(2θ) +cos(6θ) ]\frac { 1 } { 2 } [ \cos ( 2 \theta ) + \cos ( 6 \theta ) ]
B) cos2(6θ2) \cos ^ { 2 } \left( 6 \theta ^ { 2 } \right)
C) 12[cos(6θ) cos(2θ) ]\frac { 1 } { 2 } [ \cos ( 6 \theta ) - \cos ( 2 \theta ) ]
D) 12[cos(6θ) sin(2θ) ]\frac { 1 } { 2 } [ \cos ( 6 \theta ) - \sin ( 2 \theta ) ]

Correct Answer:

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