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sinx^2
En la desigualdad la incógnita

Solución

   2            
sin (x) < cos(x)
$$\sin^{2}{\left(x \right)} < \cos{\left(x \right)}$$
sin(x)^2 < cos(x)
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
  /   /                /       ___     \\     /                 /       ___     \           \\
  |   |                |     \/ 2      ||     |                 |     \/ 2      |           ||
Or|And|0 <= x, x < atan|---------------||, And|x <= 2*pi, - atan|---------------| + 2*pi < x||
  |   |                |   ____________||     |                 |   ____________|           ||
  |   |                |  /        ___ ||     |                 |  /        ___ |           ||
  \   \                \\/  -1 + \/ 5  //     \                 \\/  -1 + \/ 5  /           //
$$\left(0 \leq x \wedge x < \operatorname{atan}{\left(\frac{\sqrt{2}}{\sqrt{-1 + \sqrt{5}}} \right)}\right) \vee \left(x \leq 2 \pi \wedge - \operatorname{atan}{\left(\frac{\sqrt{2}}{\sqrt{-1 + \sqrt{5}}} \right)} + 2 \pi < x\right)$$
((0 <= x)∧(x < atan(sqrt(2)/sqrt(-1 + sqrt(5)))))∨((x <= 2*pi)∧(-atan(sqrt(2)/sqrt(-1 + sqrt(5))) + 2*pi < x))
Respuesta rápida 2 [src]
        /       ___     \           /       ___     \              
        |     \/ 2      |           |     \/ 2      |              
[0, atan|---------------|) U (- atan|---------------| + 2*pi, 2*pi]
        |   ____________|           |   ____________|              
        |  /        ___ |           |  /        ___ |              
        \\/  -1 + \/ 5  /           \\/  -1 + \/ 5  /              
$$x\ in\ \left[0, \operatorname{atan}{\left(\frac{\sqrt{2}}{\sqrt{-1 + \sqrt{5}}} \right)}\right) \cup \left(- \operatorname{atan}{\left(\frac{\sqrt{2}}{\sqrt{-1 + \sqrt{5}}} \right)} + 2 \pi, 2 \pi\right]$$
x in Union(Interval.Ropen(0, atan(sqrt(2)/sqrt(-1 + sqrt(5)))), Interval.Lopen(-atan(sqrt(2)/sqrt(-1 + sqrt(5))) + 2*pi, 2*pi))