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.
- $\sin ( 4 \theta ) \sin ( 6 \theta )$

• A) \(\sin ^ { 2 } \left( 24 \theta ^ { 2 } \right)\)
• B) \(\frac { 1 } { 2 } [ - \cos ( 2 \theta ) - \cos ( 10 \theta ) ]\)
• C) \(\frac { 1 } { 2 } [ \cos ( 2 \theta ) - \cos ( 10 \theta ) ]\)
• D) \(\frac { 1 } { 2 } [ \cos ( 10 \theta ) - \sin ( 2 \theta ) ]\)

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Definitions:

Delusions

False beliefs held with strong conviction despite superior evidence to the contrary, often observed in psychiatric conditions like schizophrenia.

Evidence

Information or facts presented in support of an assertion, claim, or case, often used to prove or disprove something.

Socially Withdrawn

A behavior characterized by a significant reduction in social interaction and preference for solitude.

Bizarre Behavior

Actions that are extremely unusual or significantly atypical, often indicative of a psychiatric condition or psychological distress.