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Use the Product-To-Sum Formulas to Write the Expression Below as a Sum

Question 66

Multiple Choice

Use the product-to-sum formulas to write the expression below as a sum or difference.
sin⁡(8θ) cos⁡(6θ) \sin ( 8 \theta ) \cos ( 6 \theta )


A) 12(cos⁡(2θ) +cos⁡(14θ) ) \frac { 1 } { 2 } ( \cos ( 2 \theta ) + \cos ( 14 \theta ) )
B) 12(sin⁡(2θ) +cos⁡(14θ) ) \frac { 1 } { 2 } ( \sin ( 2 \theta ) + \cos ( 14 \theta ) )
C) 12(sin⁡(14θ) +sin⁡(2θ) ) \frac { 1 } { 2 } ( \sin ( 14 \theta ) + \sin ( 2 \theta ) )
D) 12(cos⁡(2θ) −cos⁡(14θ) ) \frac { 1 } { 2 } ( \cos ( 2 \theta ) - \cos ( 14 \theta ) )
E) 12(sin⁡(14θ) −sin⁡(2θ) ) \frac { 1 } { 2 } ( \sin ( 14 \theta ) - \sin ( 2 \theta ) )

Correct Answer:

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