Express the Product as a Sum Containing Only Sines or Cosines

question 388

Multiple Choice

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) \(\frac { 1 } { 2 } [ \sin ( 3 \theta ) - \sin ( 2 \theta ) ]\)

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Definitions:

Respiration

The process of inhaling oxygen and exhaling carbon dioxide, essential for life.

Digestion

The breakdown of food into smaller components that can be absorbed and assimilated into the body.

Vomiting

The forceful expulsion of stomach contents through the mouth.

Enteric

Relating to or occurring in the intestines.