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

question 221

Multiple Choice

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

• A) \(2 \sqrt { 5 }\)
• B) \(\frac { 2 \sqrt { 5 } } { 5 }\)
• C) \(\frac { 5 \sqrt { 2 } } { 2 }\)
• D) \(5 \sqrt { 2 }\)

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