Choose the One Alternative That Best Completes the Statement or Answers

question 191

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.
- $\sin ( 5 \theta ) \sin ( 2 \theta )$

• A) \(\frac { 1 } { 2 } [ \cos ( 7 \theta ) - \cos ( 3 \theta ) ]\)
• B) \(\frac { 1 } { 2 } [ \sin ( 7 \theta ) + \cos ( 3 \theta ) ]\)
• C) \(\frac { 1 } { 2 } [ \cos ( 3 \theta ) - \cos ( 7 \theta ) ]\)
• D) \(\sin ^ { 2 } \left( 10 \theta ^ { 2 } \right)\)

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Definitions:

DSM-5

The Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition, a comprehensive classification of mental disorders published by the American Psychiatric Association.

Mental Illness

A broad term for disorders that affect mood, thinking, and behavior, with varying degrees of impact on day-to-day functioning.

Discouraged

Feeling a loss of confidence or enthusiasm; disheartened.

Hopeless

A state of despair in which an individual feels that their situation is beyond improvement, often associated with depression.