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sint<√2/2 inequation

A inequation with variable

The solution

You have entered [src]
           ___
         \/ 2 
sin(t) < -----
           2  
$$\sin{\left(t \right)} < \frac{\sqrt{2}}{2}$$
sin(t) < sqrt(2)/2
Rapid solution [src]
  /   /            pi\     /           3*pi    \\
Or|And|0 <= x, x < --|, And|x <= 2*pi, ---- < x||
  \   \            4 /     \            4      //
$$\left(0 \leq x \wedge x < \frac{\pi}{4}\right) \vee \left(x \leq 2 \pi \wedge \frac{3 \pi}{4} < x\right)$$
((0 <= x)∧(x < pi/4))∨((x <= 2*pi)∧(3*pi/4 < x))
Rapid solution 2 [src]
    pi     3*pi       
[0, --) U (----, 2*pi]
    4       4         
$$x\ in\ \left[0, \frac{\pi}{4}\right) \cup \left(\frac{3 \pi}{4}, 2 \pi\right]$$
x in Union(Interval.Ropen(0, pi/4), Interval.Lopen(3*pi/4, 2*pi))