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(cos(2x)-cos(x))/((sin(x))^(1/2))=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
cos(2*x) - cos(x)    
----------------- = 0
      ________       
    \/ sin(x)
−cos⁡(x)+cos⁡(2x)sin⁡(x)=0\frac{- \cos{\left(x \right)} + \cos{\left(2 x \right)}}{\sqrt{\sin{\left(x \right)}}} = 0
Simplificar
Gráfica
0-80-60-40-2020406080-100100-250250
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
  4*pi   2*pi   2*pi   4*pi
- ---- - ---- + ---- + ----
   3      3      3      3
((−4π3−2π3)+2π3)+4π3\left(\left(- \frac{4 \pi}{3} - \frac{2 \pi}{3}\right) + \frac{2 \pi}{3}\right) + \frac{4 \pi}{3} 
=
0
00 
producto
-4*pi -2*pi 2*pi 4*pi
-----*-----*----*----
  3     3    3    3
4π32π3⋅−4π3(−2π3)\frac{4 \pi}{3} \frac{2 \pi}{3} \cdot - \frac{4 \pi}{3} \left(- \frac{2 \pi}{3}\right) 
=
     4
64*pi 
------
  81
64π481\frac{64 \pi^{4}}{81} 
64*pi^4/81
Respuesta rápida [src] 
     -4*pi
x1 = -----
       3
x1=−4π3x_{1} = - \frac{4 \pi}{3} 
     -2*pi
x2 = -----
       3
x2=−2π3x_{2} = - \frac{2 \pi}{3} 
     2*pi
x3 = ----
      3
x3=2π3x_{3} = \frac{2 \pi}{3} 
     4*pi
x4 = ----
      3
x4=4π3x_{4} = \frac{4 \pi}{3} 
x4 = 4*pi/3
Respuesta numérica [src] 
x1 = 90.0589894029074
x2 = -33.5103216382911
x3 = 69.1150383787567 + 9.26129369356444e-11*i
x4 = -90.0589894029074
x5 = -73.3038285837618
x6 = -64.9262481741891
x7 = 18.8495559215166
x8 = 27.2271363311115
x9 = -85.870199198121
x10 = -29.3215314335047
x11 = 79.5870138909414
x12 = 100.530964914848
x13 = 69.1150383791361 + 7.65360648550657e-11*i
x14 = -83.7758040957278
x15 = 92.1533845053006
x16 = 43.9822971502616
x17 = 48.1710873550435
x18 = 54.4542726622231
x19 = 31.4159265359221
x20 = -79.5870138909414
x21 = 25.1327412289201 + 9.64454434586352e-11*i
x22 = 62.8318530717717
x23 = 67.0206432765823
x24 = 94.2477796076942 + 2.4399382699146e-14*i
x25 = -20.943951023932
x26 = -62.8318530719052 + 4.69908292158382e-11*i
x27 = 46.0766922526503
x28 = -100.530964914845
x29 = -18.8495559212825 + 1.22037046586849e-10*i
x30 = 33.5103216382911
x31 = -52.3598775598299
x32 = -92.1533845053006
x33 = 85.870199198121
x34 = -25.132741228738
x35 = 60.7374579694027
x36 = 77.4926187885482
x37 = 87.9645943005218
x38 = 41.8879020478639
x39 = 37.6991118431067
x40 = -50.2654824574091
x41 = -56.5486677645888
x42 = -41.8879020478639
x43 = 56.5486677645898
x44 = 4.18879020478639
x45 = -10.471975511966
x46 = 14.6607657167524
x47 = 6.28318530717487
x48 = 39.7935069454707
x49 = -6.28318530715115
x50 = -18.8495559216751 + 6.02641175506844e-11*i
x51 = -87.9645943005249 + 1.02431085982353e-11*i
x52 = -27.2271363311115
x53 = 25.1327412285471 + 7.51414124814055e-11*i
x54 = -37.6991118430843
x55 = -96.342174710087
x56 = -69.1150383789921
x57 = 10.471975511966
x58 = -94.2477796076671
x59 = -54.4542726622231
x60 = 58.6430628670095
x61 = -39.7935069454707
x62 = 83.7758040957278
x63 = -31.4159265359259
x64 = -43.9822971502635 + 3.37754672683965e-12*i
x65 = 35.6047167406843
x66 = 71.2094334813686
x67 = -62.8318530714682 + 1.54654279844302e-10*i
x68 = 12.5663706143319
x69 = 50.2654824574343
x70 = -23.0383461263252
x71 = -4.18879020478639
x72 = -71.2094334813686
x73 = 96.342174710087
x74 = 52.3598775598299
x75 = -48.1710873550435
x76 = -46.0766922526503
x77 = -35.6047167406843
x78 = -16.7551608191456
x79 = -8.37758040957278
x80 = 75.398223686177
x81 = -77.4926187885482
x82 = -12.5663706143332
x83 = 81.6814089933645
x84 = -60.7374579694027
x85 = -98.4365698124802
x86 = -2.0943951023932
x87 = 16.7551608191456
x88 = -81.6814089933434
x89 = 98.4365698124802
x90 = -56.5486677646044 + 1.9431176727394e-11*i
x91 = 23.0383461263252
x92 = 2.0943951023932
x93 = -75.3982236861837
x94 = 12.5663706121043 - 9.71276455126825e-10*i
x95 = 8.37758040957278
x95 = 8.37758040957278
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