Find the Exact Value of the Expression $\sin \left( \sin ^ { - 1 } \frac { 2 } { 3 } + \cos ^ { - 1 } \frac { 1 } { 3 } \right)$

question 307

Multiple Choice

Find the exact value of the expression.
- $\sin \left( \sin ^ { - 1 } \frac { 2 } { 3 } + \cos ^ { - 1 } \frac { 1 } { 3 } \right)$

• A) \(\frac { 2 + 2 \sqrt { 10 } } { 9 }\)
• B) \(\frac { 2 \sqrt { 3 } + 2 \sqrt { 10 } } { 9 }\)
• C) \(\frac { 2 \sqrt { 6 } } { 5 }\)
• D) \(\frac { 2 \sqrt { 3 } } { 5 }\)

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