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Express the Product as a Sum Containing Only Sines or Cosines

Question 129

Multiple Choice

Express the product as a sum containing only sines or cosines.
- sin⁡(4θ) sin⁡(6θ) \sin ( 4 \theta ) \sin ( 6 \theta )


A) sin⁡2(24θ2) \sin ^ { 2 } \left( 24 \theta ^ { 2 } \right)
B) 12[−cos⁡(2θ) −cos⁡(10θ) ]\frac { 1 } { 2 } [ - \cos ( 2 \theta ) - \cos ( 10 \theta ) ]
C) 12[cos⁡(2θ) −cos⁡(10θ) ]\frac { 1 } { 2 } [ \cos ( 2 \theta ) - \cos ( 10 \theta ) ]
D) 12[cos⁡(10θ) −sin⁡(2θ) ]\frac { 1 } { 2 } [ \cos ( 10 \theta ) - \sin ( 2 \theta ) ]

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