Find the Exact Value of the Expression $\sec ^ { - 1 } ( \sqrt { 2 } )$

question 268

Multiple Choice

Find the exact value of the expression.
- $\sec ^ { - 1 } ( \sqrt { 2 } )$

• A) \(- \frac { 3 \pi } { 4 }\)
• B) \(\frac { \pi } { 4 }\)
• C) \(\frac { 3 \pi } { 4 }\)
• D) \(\frac { \pi } { 3 }\)

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Definitions:

Mean Square

The average of the squares of the differences between the observed and expected values, used in various statistical methods, such as ANOVA.

Main Effect

In analysis of variance, the direct influence of an independent variable on a dependent variable, discounting interactions with other variables.

Factor A

A variable manipulated or monitored to determine its effects on an outcome in an experiment.

Critical Value

A threshold value that separates the region where the null hypothesis is rejected from the region where it is not rejected, based on the chosen significance level.