Find the Exact Value of the Expression, If Possible $\sin \left( \tan ^ { - 1 } \frac { x } { \sqrt { 2 } } \right)$

question 335

Multiple Choice

Find the exact value of the expression, if possible. Do not use a calculator.
- $\sin \left( \tan ^ { - 1 } \frac { x } { \sqrt { 2 } } \right)$

• A) \(\frac { x \sqrt { x ^ { 2 } + 2 } } { x ^ { 2 } + 2 }\)
• B) \(\frac { x \sqrt { x ^ { 2 } - 2 } } { x ^ { 2 } - 2 }\)
• C) \(x \sqrt { x ^ { 2 } + 2 }\)
• D) \(\frac { \sqrt { x ^ { 2 } + 2 } } { x ^ { 2 } + 2 }\)

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