Solve the Equation on the Interval $$0 \leq \theta < 2 \pi$$

question 150

Multiple Choice

Solve the equation on the interval $$0 \leq \theta < 2 \pi$$
- $\cot \left( 2 \theta - \frac { \pi } { 2 } \right) = 1$

• A) \(\frac { \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 9 \pi } { 4 }\), and \(\frac { 13 \pi } { 4 }\)
• B) \(\frac { 3 \pi } { 8 } , \frac { 7 \pi } { 8 } , \frac { 11 \pi } { 8 }\), and \(\frac { 15 \pi } { 8 }\)
• C) \(\frac { 3 \pi } { 8 }\)
• D) \(\frac { 3 \pi } { 8 } , \frac { 7 \pi } { 8 }\)

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Definitions:

Independent Variable

In research, an independent variable is the variable that is manipulated or controlled by the researcher to study its effect on a dependent variable.

Dependent Variable

In experimental and statistical research, the outcome variable that is measured to assess the effect of the independent variable.

P Value

A statistical measure that helps researchers determine whether their hypotheses are correct; it represents the probability of observing the obtained results, or more extreme, by chance if the null hypothesis of a study is true.

Statistically Significant

A term used to describe a result in data analysis that is unlikely to have occurred by chance alone, indicating a true effect or relationship.