Express the Sum or Difference as a Product of Sines $\sin ( 2 \theta ) - \sin ( 4 \theta )$

question 333

Multiple Choice

Express the sum or difference as a product of sines and/or cosines.
- $\sin ( 2 \theta ) - \sin ( 4 \theta )$

• A) \(2 \cos ( 2 \theta ) \cos ( 3 \theta )\)
• B) \(- 2 \sin \theta\)
• C) \(- 2 \sin \theta \cos ( 3 \theta )\)
• D) \(2 \sin ( 3 \theta ) \cos \theta\)

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Definitions:

Rationalisation

A defense mechanism in which controversial behaviors or feelings are justified and explained in a seemingly rational or logical manner to avoid the true explanation.

Unacceptable Behaviour

Actions or conduct deemed inappropriate or offensive in a given social context or by societal standards, warranting disapproval or correction.

False Excuse

A fabricated or insubstantial reason given to justify an action or decision.

Regression

A defense mechanism leading an individual to revert to an earlier stage of development in the face of unacceptable thoughts or impulses.