Use the Half-Angle Formula to Simplify the Given Expression $$\sqrt { \frac { 1 + \cos 16 x } { 2 } }$$

question 44

Multiple Choice

Use the half-angle formula to simplify the given expression.
$$\sqrt { \frac { 1 + \cos 16 x } { 2 } }$$

• A) \(\cos 32 x\)
• B) \(\cos 8 x\)
• C) \(\cos 16 x\)
• D) \(\cos 64 x\)
• E) \(\cos 4 x\)

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Definitions:

Hopelessness Depression

A form of depression characterized by a negative outlook and a belief that one is powerless to change one's situation.

Pessimistic Attributions

A cognitive style in which individuals habitually assume the worst will happen or believe that negative events are unavoidable and caused by stable, internal factors.

Interacting Effectively

The skill of engaging with others in a way that is positive, productive, and conducive to achieving desired outcomes.

Depressive Symptoms

Manifestations of depression, including persistent sadness, lack of interest, changes in appetite, and feelings of worthlessness.