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

Multiple Choice

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

A) $\frac { x \sqrt { 2 } } { 2 }$
B) $\frac { x \sqrt { x ^ { 2 } - 2 } } { x ^ { 2 } - 2 }$
C) $\times \sqrt { 2 }$
D) $\frac { \sqrt { x ^ { 2 } + 2 } } { x ^ { 2 } + 2 }$