Solve the Equation for Exact Solutions $$- \sin ^ { - 1 } ( 4 x ) = \frac { \pi } { 4 }$$

Solve the equation for exact solutions.
- $$- \sin ^ { - 1 } ( 4 x ) = \frac { \pi } { 4 }$$

A) $\left\{ - \frac { \sqrt { 2 } } { 2 } \right\}$

B) $\{ 0 \}$

C) $\left\{ - \frac { \sqrt { 2 } } { 8 } \right\}$

D) $\left\{ \frac { \sqrt { 2 } } { 8 } \right\}$