Solve the Equation for Solutions Over the Interval [ $$[ 0,2 \pi )$$

question 6

Multiple Choice

Solve the equation for solutions over the interval [ $$[ 0,2 \pi )$$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
- $$\sin \frac { x } { 2 } + \cos \frac { x } { 2 } = 0$$

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

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Definitions:

Cooperation

The act of working together towards a common goal or purpose.

Subliminal Perception

The process by which stimuli are perceived or absorbed without conscious awareness, potentially influencing attitudes or behaviors.

Conscious Awareness

The state of being aware of one's own existence, sensations, thoughts, surroundings, etc., typically through cognitive processes.

Stimulus

Anything that can elicit a physical or behavioral response in an organism.