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(cosx-sin2x)*(1+sqrt(tgx))=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                    /      ________\    
(cos(x) - sin(2*x))*\1 + \/ tan(x) / = 0
$$\left(- \sin{\left(2 x \right)} + \cos{\left(x \right)}\right) \left(\sqrt{\tan{\left(x \right)}} + 1\right) = 0$$
Gráfica
Respuesta rápida [src]
     pi
x1 = --
     6 
$$x_{1} = \frac{\pi}{6}$$
     5*pi
x2 = ----
      6  
$$x_{2} = \frac{5 \pi}{6}$$
x2 = 5*pi/6
Suma y producto de raíces [src]
suma
pi   5*pi
-- + ----
6     6  
$$\frac{\pi}{6} + \frac{5 \pi}{6}$$
=
pi
$$\pi$$
producto
pi 5*pi
--*----
6   6  
$$\frac{\pi}{6} \frac{5 \pi}{6}$$
=
    2
5*pi 
-----
  36 
$$\frac{5 \pi^{2}}{36}$$
5*pi^2/36
Respuesta numérica [src]
x1 = -66.497044500984
x2 = 50.789081233035
x3 = 65.4498469497874
x4 = -81.1578102177363
x5 = -49.7418836818384
x6 = 2.61799387799149
x7 = 94.7713783832921
x8 = 82.2050077689329
x9 = -5.75958653158129
x10 = -37.1755130674792
x11 = -30.8923277602996
x12 = -97.9129710368819
x13 = -100.007366139275
x14 = 46.6002910282486
x15 = -9.94837673636768
x16 = 88.4881930761125
x17 = -28.7979326579064
x18 = 31.9395253114962
x19 = 34.0339204138894
x20 = 84.2994028713261
x21 = 101.054563690472
x22 = 90.5825881785057
x23 = 71.733032256967
x24 = -47.6474885794452
x25 = -87.4409955249159
x26 = -43.4586983746588
x27 = 69.6386371545737
x28 = -62.3082542961976
x29 = 21.4675497995303
x30 = 44.5058959258554
x31 = 59.1666616426078
x32 = -3.66519142918809
x33 = 40.317105721069
x34 = 57.0722665402146
x35 = -72.7802298081635
x36 = -74.8746249105567
x37 = 0.523598775598299
x38 = -53.9306738866248
x39 = 78.0162175641465
x40 = -12.0427718387609
x41 = 25.6563400043166
x42 = 6.80678408277789
x43 = -60.2138591938044
x44 = 38.2227106186758
x45 = -93.7241808320955
x46 = -18.3259571459405
x47 = -56.025068989018
x48 = 75.9218224617533
x49 = 15.1843644923507
x50 = -16.2315620435473
x51 = -91.6297857297023
x52 = 27.7507351067098
x53 = 13.0899693899575
x53 = 13.0899693899575