Solve the Equation for Exact Solutions $\sin ^ { - 1 } x + \tan ^ { - 1 } x _ { x } = 0$

Multiple Choice

Solve the equation for exact solutions.
- $\sin ^ { - 1 } x + \tan ^ { - 1 } x _ { x } = 0$

A) $\{ 0 \}$
B) $\left\{ - \frac { \sqrt { 3 } } { 4 } , \frac { \sqrt { 3 } } { 4 } \right\}$
C) $\{ 1 \}$
D) $\left\{ - \frac { \sqrt { 3 } } { 2 } , \frac { \sqrt { 3 } } { 2 } \right\}$