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tg^3x-2tg^2x>0 inequation

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   3           2       
tan (x) - 2*tan (x) > 0

$$\tan^{3}{\left(x \right)} - 2 \tan^{2}{\left(x \right)} > 0$$

tan(x)^3 - 2*tan(x)^2 > 0

Solving inequality on a graph

Rapid solution 2 [src]

          pi 
(atan(2), --)
          2

$$x\ in\ \left(\operatorname{atan}{\left(2 \right)}, \frac{\pi}{2}\right)$$

x in Interval.open(atan(2), pi/2)

Rapid solution [src]

   /    pi             \
And|x < --, atan(2) < x|
   \    2              /

$$x < \frac{\pi}{2} \wedge \operatorname{atan}{\left(2 \right)} < x$$

(atan(2) < x)∧(x < pi/2)