Evaluate the Expression $\cot \theta$ , Given That $\csc \theta = - \frac { 3 } { 2 }$

question 150

Multiple Choice

Evaluate the expression.
-Find $\cot \theta$ , given that $\csc \theta = - \frac { 3 } { 2 }$ and $\theta$ is in quadrant III.

• A) \(- \frac { \sqrt { 5 } } { 3 }\)
• B) \(\frac { \sqrt { 5 } } { 2 }\)
• C) \(- \frac { 3 \sqrt { 5 } } { 5 }\)
• D) \(- \frac { 2 \sqrt { 5 } } { 5 }\)

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Definitions:

SSR

Sum of Squares due to Regression, measuring the variation explained by the regression model in statistics.

SST

The total sum of squares in a dataset, representing the overall variation from the mean, and used in various statistical analyses to compute variance.

Multiple Regression

A statistical procedure that utilizes a variety of explanatory variables to predict the behavior of a dependent variable.

P-value

The probability of obtaining observations as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming the null hypothesis is true.