Solve the Equation in the Interval $$\left[ 0 ^ { \circ } , 360 ^ { \circ } \right)$$

question 172

Multiple Choice

Solve the equation in the interval $$\left[ 0 ^ { \circ } , 360 ^ { \circ } \right)$$ ) . Give solutions to the nearest tenth, if necessary.
- $2 \cos ^ { 3 } \theta = \cos \theta$

• A) \(\left\{ 90 ^ { \circ } , 270 ^ { \circ } \right\}\)
• B) \(\left\{ 45 ^ { \circ } , 135 ^ { \circ } , 225 ^ { \circ } , 315 ^ { \circ } \right\}\)
• C) \(\varnothing\)
• D) \(\left\{ 45 ^ { \circ } , 90 ^ { \circ } , 135 ^ { \circ } , 225 ^ { \circ } , 270 ^ { \circ } , 315 ^ { \circ } \right\}\)

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Definitions:

Hypothalamus

A region of the brain below the thalamus; it directs several important bodily functions like temperature regulation and hunger.

Motor Area

A region of the brain involved in the planning, control, and execution of voluntary movements, primarily located in the precentral gyrus of the frontal lobe.

Frontal

Relating to the front part of something, especially the part of the brain located at the front of the head.

Hemiplegia

A condition resulting in weakness or paralysis on one side of the body, typically caused by brain damage.