Consider the curves $S_{1}and{S}_2$  where  $S_1:{\sin }^{-1}x={\cos }^{-1}y$  and $S_2:{\tan }^{-1}x={\cot }^{-1}y$ , then which of the following statement(s) is/are true?

Area bounded by $S_1$  with the coordinate axes is  $\frac{\pi }{4}$

Equation of tangent drawn from point $(\frac{1}{2},\frac{\sqrt{3}}{2})$  to $S_1$ is  $x+\sqrt{3}y=2.$

Number of tangents that can be drawn from (-1,2) to $S_2$ is 1.

$S_{1}and{S}_2$  intersect exactly at 2 points