Find the Exact Value of the Expression Using the Provided $\tan ( \mathrm { s } - \mathrm { t } )$

question 240

Multiple Choice

Find the exact value of the expression using the provided information.
-Find $\tan ( \mathrm { s } - \mathrm { t } )$ given that $\sin \mathrm { s } = - \frac { 3 \sqrt { 13 } } { 13 }$ , with $\mathrm { s }$ in quadrant $\mathrm { IV }$ , and $\sin \mathrm { t } = - \frac { \sqrt { 10 } } { 10 }$ , with $\mathrm { t }$ in quadrant IV.

• A) \(- \frac { 11 } { 9 }\)
• B) \(\frac { 11 } { 3 }\)
• C) \(- \frac { 11 } { 3 }\)
• D) \(- \frac { 7 } { 9 }\)

---

Definitions:

Correlation

A statistical measure that expresses the extent to which two variables change together, and thus how well one variable predicts the other.

Regression

A statistical method for examining the relationship between a dependent variable and one or more independent variables.

Degrees Freedom

The number of independent values or quantities which can be assigned to a statistical distribution without violating any constraints.

F-ratio Equation

A formula used in statistical analysis to compare variances among sample means in an ANOVA test, expressed as the ratio of between-group variance to within-group variance.