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Express the Product as a Sum Containing Only Sines or Cosines

Question 168

Multiple Choice

Express the product as a sum containing only sines or cosines.
- cos⁡(5θ) cos⁡(4θ) \cos ( 5 \theta ) \cos ( 4 \theta )


A) 12[cos⁡(9θ) −cos⁡θ]\frac { 1 } { 2 } [ \cos ( 9 \theta ) - \cos \theta ]
B) 12[cos⁡θ+cos⁡(9θ) ]\frac { 1 } { 2 } [ \cos \theta + \cos ( 9 \theta ) ]
C) cos⁡2(20θ2) \cos ^ { 2 } \left( 20 \theta ^ { 2 } \right)
D) 12[cos⁡(9θ) −sin⁡θ]\frac { 1 } { 2 } [ \cos ( 9 \theta ) - \sin \theta ]

Correct Answer:

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