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

question 189

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:

Unconditioned Response

In classical conditioning, it's the automatic, natural reaction to an unconditioned stimulus without prior learning or conditioning.

Behaviorist

A supporter of the behavioral approach in psychology, emphasizing behavioral analysis and modification rather than internal or cognitive states.

Thoughts And Feelings

Refer to internal cognitive and affective states that are subjective and can influence behavior and perception.

Physical Events

Occurrences in the natural world that involve matter and energy, observable through the senses or scientific instruments.