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cos(3*x)-cos(x)=0

cos(3*x)-cos(x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(3*x) - cos(x) = 0
$$- \cos{\left(x \right)} + \cos{\left(3 x \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
  pi   pi     
- -- + -- + pi
  2    2      
$$\left(- \frac{\pi}{2} + \frac{\pi}{2}\right) + \pi$$
=
pi
$$\pi$$
producto
  -pi  pi   
0*----*--*pi
   2   2    
$$\pi \frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
x4 = pi
$$x_{4} = \pi$$
x4 = pi
Respuesta numérica [src]
x1 = -34.5575191076725
x2 = -43.982296876345
x3 = -80.1106126665397
x4 = -69.1150382393654
x5 = 28.2743338652459
x6 = 21.9911485851767
x7 = 94.2477796093527
x8 = -87.9645943590963
x9 = -97.389372410446
x10 = -23.5619449019235
x11 = -15.7079632963762
x12 = -73.8274273593601
x13 = -36.1283155162826
x14 = -56.5486676717583
x15 = 81.6814091468681
x16 = 86.3937979737193
x17 = 53.4070751278617
x18 = -37.6991118769198
x19 = 94.2477792514877
x20 = -21.9911485864718
x21 = -50.2654823143599
x22 = 9.42477801500462
x23 = 42.4115008234622
x24 = -67.5442420521806
x25 = 14.1371669411541
x26 = -7.85398163397448
x27 = 72.2566310277219
x28 = 80.1106126665397
x29 = -28.2743341715057
x30 = 56.5486676266806
x31 = -28.2743337371269
x32 = 59.6902605703693
x33 = -21.9911486312213
x34 = -29.845130209103
x35 = -65.9734457652028
x36 = 78.5398162040055
x37 = -31.4159266812001
x38 = -906.349480560655
x39 = -3.14159262638665
x40 = -100.530964804106
x41 = -59.6902604573056
x42 = 51.8362787842316
x43 = 34.5575190494922
x44 = 12.5663704724455
x45 = 50.2654819973737
x46 = -78.5398162373076
x47 = -95.8185759344887
x48 = 95.8185759344887
x49 = 37.6991119937168
x50 = -94.2477794692392
x51 = 58.1194640914112
x52 = -65.9734453602046
x53 = 65.9734457527245
x54 = 29.845130209103
x55 = 87.964594335453
x56 = -47.1238897080294
x57 = -43.9822971746609
x58 = 75.3982236793524
x59 = 9.42477806710815
x60 = 0.0
x61 = 6.28318528433976
x62 = 2.89784959789169e-7
x63 = 100.530964781462
x64 = -75.398223834204
x65 = -58.1194640914112
x66 = 36.1283155162826
x67 = -45.553093477052
x68 = 43.9822971693493
x69 = 31.4159265728873
x70 = -14.1371669411541
x71 = -12.5663705453118
x72 = 43.9822971001043
x73 = 84.8230015887783
x74 = -207.34511550934
x75 = 50.2654824463642
x76 = 20.4203522483337
x77 = 40.8407044744738
x78 = -81.6814090375457
x79 = 97.38937222667
x80 = -6.28318516003462
x81 = 18.8495559220487
x82 = -9.42477810445402
x83 = -72.2566308917313
x84 = 62.8318530302311
x85 = -51.8362787842316
x86 = 64.4026493985908
x87 = -53.407075257786
x88 = -25.1327411700478
x89 = 73.8274273593601
x90 = -1.5707963267949
x91 = 7.85398163397448
x92 = -89.5353906273091
x93 = 15.7079634169143
x94 = -91.1061867632284
x94 = -91.1061867632284
Gráfico
cos(3*x)-cos(x)=0 la ecuación