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Express the Product as a Sum Containing Only Sines or Cosines

Question 10

Multiple Choice

Express the product as a sum containing only sines or cosines.
- cos11θ2cosθ2\cos \frac { 11 \theta } { 2 } \cos \frac { \theta } { 2 }


A) 14cos2(5θ) \frac { 1 } { 4 } \cos ^ { 2 } ( 5 \theta )
B) 14[cos(6θ) sin(4θ) ]\frac { 1 } { 4 } [ \cos ( 6 \theta ) - \sin ( 4 \theta ) ]
C) 12[cos(2θ) +cos(3θ) ]\frac { 1 } { 2 } [ \cos ( 2 \theta ) + \cos ( 3 \theta ) ]
D) 12[cos(3θ) sin(2θ) ]\frac { 1 } { 2 } [ \cos ( 3 \theta ) - \sin ( 2 \theta ) ]

Correct Answer:

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