Given the inequality:
$$\operatorname{acot}{\left(x \right)} > 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\operatorname{acot}{\left(x \right)} = 0$$
Solve:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0
$$\operatorname{acot}{\left(0 \right)} > 0$$
pi
-- > 0
2
so the inequality is always executed