Solve the Equation in the Interval $[ 0,2 \pi )$ $2 \cos ^ { 2 } x + \sin x = 1$

question 11

Multiple Choice

Solve the equation in the interval $[ 0,2 \pi )$ . $2 \cos ^ { 2 } x + \sin x = 1$

• A) \(\frac { \pi } { 6 } , \frac { \pi } { 2 }\)
• B) \(\frac { \pi } { 6 } , \frac { \pi } { 3 }\)
• C) \(\frac { \pi } { 2 } , \frac { 7 \pi } { 6 }\)
• D) \(\frac { \pi } { 6 } , \frac { 11 \pi } { 6 }\)
• E) none

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Definitions:

Energy

The capacity to do work or to produce changes within a system, typically measured in joules or calories.

Sensation

The initial detection of stimulus energy (e.g., sound, light) by sensory organs and its conversion into neural signals.

Efferent Nervous System

Part of the nervous system responsible for carrying motor signals from the central nervous system to the body, controlling actions.

External Stimulation

External stimulation refers to any input from the environment that influences sensory receptors and can alter an individual's response or behavior.