Find the Exact Value of the Composition $\tan \left( 2 \tan ^ { - 1 } ( 2 ) \right)$

question 225

Multiple Choice

Find the exact value of the composition.
- $\tan \left( 2 \tan ^ { - 1 } ( 2 ) \right)$

• A) \(- \frac { 4 } { 3 }\)
• B) \(\frac { 2 } { 3 }\)
• C) \(- \frac { 2 } { 3 }\)
• D) \(\frac { 4 } { 3 }\)

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Definitions:

Cognitive Ability

The capacity to perform mental processes related to learning, problem-solving, decision-making, and similar intellectual tasks.

Aristotle

An ancient Greek philosopher and polymath whose work spans a range of disciplines including physics, metaphysics, poetry, theater, music, logic, rhetoric, politics, ethics, biology, and zoology.

Plato

An ancient Greek philosopher who founded the Academy in Athens and contributed significantly to Western philosophy and metaphysics.

Cognitive Psychology

The branch of psychology focused on understanding mental processes such as perception, memory, thought, and problem solving.