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cos(2*x)<5*cos(x)2-sin(x) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
cos(2*x) < 5*cos(x)*2 - sin(x)
$$\cos{\left(2 x \right)} < - \sin{\left(x \right)} + 2 \cdot 5 \cos{\left(x \right)}$$
cos(2*x) < -sin(x) + 2*(5*cos(x))
Solución de la desigualdad en el gráfico
Respuesta rápida 2 [src]
                   /                                           _____________________\              
                   |                                          /             _______ |              
                   |                                         /  12394   6*\/ 35319  |              
                   |                                      3 /   ----- + ----------- |              
    pi             |13                 62                 \/     1331       121     |              
[0, --) U (- 2*atan|-- - ------------------------------ + --------------------------| + 2*pi, 2*pi]
    2              |33            _____________________               3             |              
                   |             /             _______                              |              
                   |            /  12394   6*\/ 35319                               |              
                   |     363*3 /   ----- + -----------                              |              
                   \         \/     1331       121                                  /              
$$x\ in\ \left[0, \frac{\pi}{2}\right) \cup \left(- 2 \operatorname{atan}{\left(- \frac{62}{363 \sqrt[3]{\frac{12394}{1331} + \frac{6 \sqrt{35319}}{121}}} + \frac{13}{33} + \frac{\sqrt[3]{\frac{12394}{1331} + \frac{6 \sqrt{35319}}{121}}}{3} \right)} + 2 \pi, 2 \pi\right]$$
x in Union(Interval.Ropen(0, pi/2), Interval.Lopen(-2*atan(-62/(363*(12394/1331 + 6*sqrt(35319)/121)^(1/3)) + 13/33 + (12394/1331 + 6*sqrt(35319)/121)^(1/3)/3) + 2*pi, 2*pi))