Solve the Equation for Solutions in the Interval [0, 2 $$\sqrt { 2 } \cos 2 x = 1$$

question 103

Multiple Choice

Solve the equation for solutions in the interval [0, 2 π) .
- $$\sqrt { 2 } \cos 2 x = 1$$

• A) \(\varnothing\)
• B) \(\left\{ 0 , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 } \right\}\)
• C) \(\left\{ \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \right\}\)
• D) \(\left\{ \frac { \pi } { 8 } , \frac { 9 \pi } { 8 } , \frac { 7 \pi } { 8 } , \frac { 15 \pi } { 8 } \right\}\)

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Definitions:

Neuroticism

A personality trait characterized by emotional instability, anxiety, moodiness, worry, and a tendency toward negative emotional states.

Extraversion

a personality trait that involves being outgoing, energetic, and sociable, and deriving energy from interactions with others.

Conscientiousness

A dimension of personality that involves being disciplined, organized, and responsible for one's actions.

Cluster A

A classification within the Diagnostic and Statistical Manual of Mental Disorders (DSM), referring to personality disorders characterized by odd, eccentric thinking or behavior; includes paranoid, schizoid, and schizotypal personality disorders.