Find the Exact Value of the Given Expression Using a Sum

question 32

Multiple Choice

Find the exact value of the given expression using a sum or difference formula. $\sin 165 ^ { \circ }$

• A) \(\frac { - \sqrt { 3 } - 1 } { 2 \sqrt { 2 } }\)
• B) \(\frac { - \sqrt { 3 } + 1 } { 2 \sqrt { 2 } }\)
• C) \(\frac { \sqrt { 3 } - 1 } { 2 \sqrt { 2 } }\)
• D) \(\frac { \sqrt { 3 } + 1 } { 2 \sqrt { 2 } }\)

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Definitions:

Equality of Variances

A condition in statistics where different samples have similar variances, important in certain statistical tests, like the ANOVA test.

Independent Samples T-Test

A statistical test used to compare the means from two different groups of samples to see if there is a significant difference between them.

Statistically Significant Difference

A measurement indicating that an observed effect or difference in a study is unlikely to have occurred by chance.

Two Independent Groups

In statistical analysis, two groups of subjects that are randomly assigned and do not influence each other.