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cot(3pi/2-(x/2))<=sqrt(3) inequation

A inequation with variable

The solution

You have entered [src]
   /3*pi   x\      ___
cot|---- - -| <= \/ 3 
   \ 2     2/         
$$\cot{\left(- \frac{x}{2} + \frac{3 \pi}{2} \right)} \leq \sqrt{3}$$
cot(-x/2 + (3*pi)/2) <= sqrt(3)
Rapid solution [src]
  /   /             2*pi\                        \
Or|And|0 <= x, x <= ----|, And(x <= 2*pi, pi < x)|
  \   \              3  /                        /
$$\left(0 \leq x \wedge x \leq \frac{2 \pi}{3}\right) \vee \left(x \leq 2 \pi \wedge \pi < x\right)$$
((0 <= x)∧(x <= 2*pi/3))∨((pi < x)∧(x <= 2*pi))
Rapid solution 2 [src]
    2*pi              
[0, ----] U (pi, 2*pi]
     3                
$$x\ in\ \left[0, \frac{2 \pi}{3}\right] \cup \left(\pi, 2 \pi\right]$$
x in Union(Interval(0, 2*pi/3), Interval.Lopen(pi, 2*pi))