Solve the Equation in the Interval [0°, 360°) $$2 \cos ^ { 3 } \theta = \cos \theta$$

question 101

Multiple Choice

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

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

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Definitions:

Correlation

A statistical measure that represents the extent to which two or more variables fluctuate together.

Causal Explanations

Statements or analysis that identify reasons or causes for certain phenomena.

Slippery Slope Fallacy

A logical fallacy that assumes a relatively small first step leads to a chain of related events culminating in some significant effect.

Warranted Arguments

Arguments that are justified or backed up by substantial evidence or reason.