Find the Exact Value of the Expression, If Possible $\tan ^ { - 1 } \left[ \tan \left( \frac { 3 \pi } { 5 } \right) \right]$

question 305

Multiple Choice

Find the exact value of the expression, if possible. Do not use a calculator.
- $\tan ^ { - 1 } \left[ \tan \left( \frac { 3 \pi } { 5 } \right) \right]$

• A) \(- \frac { 2 \pi } { 5 }\)
• B) \(\frac { 3 \pi } { 5 }\)
• C) \(- \frac { 3 \pi } { 5 }\)
• D) \(\frac { 2 \pi } { 5 }\)

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Definitions:

A Need

A requirement essential for an organism's survival, such as food, water, shelter, or warmth.

Drive-Reduction Theory

A theory of motivation suggesting that behavior is driven by the desire to reduce internal tension caused by unmet biological needs.

Internal Tension

A state of mental or emotional strain arising from conflicting needs, desires, or external pressures.

A Drive

An internal motivated state that compels a person towards a specific behavior or goal.