Choose the One Alternative That Best Completes the Statement or Answers

question 202

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Express the product as a sum containing only sines or cosines.
- $$\sin \frac { \theta } { 2 } \cos \frac { 5 \theta } { 2 }$$

• A) \(\frac { 1 } { 4 } \sin \cos ( 5 \theta )\)
• B) \(\frac { 1 } { 4 } [ \cos ( 6 \theta ) - \sin ( 4 \theta ) ]\)
• C) \(\frac { 1 } { 2 } [ \cos ( 3 \theta ) + \sin ( 2 \theta ) ]\)
• D) \(\frac { 1 } { 2 } [ \sin ( 3 \theta ) - \sin ( 2 \theta ) ]\)