Factor;then Use Fundamental Identities to Simplify the Expression Below and Determine

question 44

Multiple Choice

Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.​ $\cot ^ { 2 } \alpha - \cot ^ { 2 } \alpha \cos ^ { 2 } \alpha$

• A)​ \(\cos ^ { 2 } \alpha\)
• B)​ \(\sin ^ { 2 } \left( \frac { \pi } { 2 } - \alpha \right)\)
• C)​ \(1 - \sin ^ { 2 } \alpha\)
• D)​ \(\cot ^ { 2 } \alpha\)
• E)​ \(\frac { 1 } { \sec ^ { 2 } \alpha }\)

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Definitions:

Coefficient of Determination

A statistic that indicates the proportion of the variance in the dependent variable predictable from the independent variable(s).

Correlation

A quantitative measure that indicates the extent to which two or more variables fluctuate together.

Correlation Coefficient

A numerical measure that quantifies the degree to which two variables are related, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).

One-tailed Hypothesis

A hypothesis test that considers either a decrease or an increase in a specific direction, focusing on one end of the probability distribution.