Find the Exact Value of the Expression $$\tan ^ { - 1 } \left[ \tan \left( \frac { 6 \pi } { 7 } \right) \right]$$

question 262

Multiple Choice

Find the exact value of the expression. Do not use a calculator.
- $$\tan ^ { - 1 } \left[ \tan \left( \frac { 6 \pi } { 7 } \right) \right]$$

• A) \(- \frac { 6 \pi } { 7 }\)
• B) \(\frac { \pi } { 7 }\)
• C) \(- \frac { \pi } { 7 }\)
• D) \(\frac { 6 \pi } { 7 }\)

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Definitions:

Normally Distributed

Describes a data distribution shaped like a symmetrical bell curve, with mean, median, and mode all equal.

Parameters

Parameters are specific numerical or categorical boundaries set within a study or experiment that define the data to be collected or the conditions under which the study is conducted.

Degrees of Freedom

The number of independent values in a dataset that are free to vary when estimating statistical parameters or testing hypotheses.

Least Squares

A mathematical method used to find the best-fitting curve to a given set of points by minimizing the sum of the squares of the offsets ("the residuals") of the points from the curve.