Find All Solutions of the Following Equation in the Interval $2 \cos ^ { 3 } x = 2 \cos x$

question 19

Multiple Choice

Find all solutions of the following equation in the interval [0,2π) .​ $2 \cos ^ { 3 } x = 2 \cos x$ ​

• A) \(0 , \frac { \pi } { 2 } , 2 \pi , \frac { 3 \pi } { 4 }\)
• B)​ \(0 , \frac { \pi } { 2 } , 3 \pi , \frac { 3 \pi } { 2 }\)
• C)​ \(0 , \frac { \pi } { 3 } , \pi , \frac { 2 \pi } { 3 }\)
• D)​ \(0 , \frac { \pi } { 4 } , \pi , \frac { 2 \pi } { 3 }\)
• E)​ \(0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 }\)

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Definitions:

Control Orientation

involves a focus on regulating behaviors or processes to conform to standards or objectives, often through oversight and enforcement mechanisms.

Curvilinear Relationship

A type of relationship between two variables where the change in one variable is not constant with respect to the change in the other variable, often depicted as a curved line on a graph.

Moderate Amount

A quantity or level that is considered to be within a reasonable or acceptable range.

Handle Pressure

The ability to maintain composure, think clearly, and perform effectively in stressful situations.