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cos(2*x)+cos(8*x)-cos(6*x)=1

cos(2*x)+cos(8*x)-cos(6*x)=1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(2*x) + cos(8*x) - cos(6*x) = 1
$$\left(\cos{\left(2 x \right)} + \cos{\left(8 x \right)}\right) - \cos{\left(6 x \right)} = 1$$
Gráfica
Suma y producto de raíces [src]
suma
  5*pi   3*pi   pi   pi   pi   pi   pi   pi   3*pi   5*pi     
- ---- - ---- - -- - -- - -- + -- + -- + -- + ---- + ---- + pi
   6      4     2    4    6    6    4    2     4      6       
$$\left(\left(\left(\left(\left(\left(\left(\left(\left(- \frac{5 \pi}{6} - \frac{3 \pi}{4}\right) - \frac{\pi}{2}\right) - \frac{\pi}{4}\right) - \frac{\pi}{6}\right) + \frac{\pi}{6}\right) + \frac{\pi}{4}\right) + \frac{\pi}{2}\right) + \frac{3 \pi}{4}\right) + \frac{5 \pi}{6}\right) + \pi$$
=
pi
$$\pi$$
producto
  -5*pi -3*pi -pi  -pi  -pi  pi pi pi 3*pi 5*pi   
0*-----*-----*----*----*----*--*--*--*----*----*pi
    6     4    2    4    6   6  4  2   4    6     
$$\pi \frac{5 \pi}{6} \frac{3 \pi}{4} \frac{\pi}{2} \frac{\pi}{4} \frac{\pi}{6} \cdot - \frac{\pi}{6} \cdot - \frac{\pi}{4} \cdot - \frac{\pi}{2} \cdot - \frac{3 \pi}{4} \cdot 0 \left(- \frac{5 \pi}{6}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -5*pi
x2 = -----
       6  
$$x_{2} = - \frac{5 \pi}{6}$$
     -3*pi
x3 = -----
       4  
$$x_{3} = - \frac{3 \pi}{4}$$
     -pi 
x4 = ----
      2  
$$x_{4} = - \frac{\pi}{2}$$
     -pi 
x5 = ----
      4  
$$x_{5} = - \frac{\pi}{4}$$
     -pi 
x6 = ----
      6  
$$x_{6} = - \frac{\pi}{6}$$
     pi
x7 = --
     6 
$$x_{7} = \frac{\pi}{6}$$
     pi
x8 = --
     4 
$$x_{8} = \frac{\pi}{4}$$
     pi
x9 = --
     2 
$$x_{9} = \frac{\pi}{2}$$
      3*pi
x10 = ----
       4  
$$x_{10} = \frac{3 \pi}{4}$$
      5*pi
x11 = ----
       6  
$$x_{11} = \frac{5 \pi}{6}$$
x12 = pi
$$x_{12} = \pi$$
x12 = pi
Respuesta numérica [src]
x1 = 35.3429173528852
x2 = -95.8185758697148
x3 = 38.2227106186758
x4 = -80.1106126091613
x5 = -45.5530934660995
x6 = 21.9911485848223
x7 = -9.94837673636768
x8 = -67.5442420085666
x9 = -62.0464549083984
x10 = -81.6814090273619
x11 = 25.9181393921158
x12 = 60.2138591938044
x13 = -29.8451301152434
x14 = -91.8915851175014
x15 = -97.9129710368819
x16 = -53.9306738866248
x17 = -40.0553063332699
x18 = 62.3082542961976
x19 = -33.7721210260903
x20 = -75.9218224617533
x21 = 42.4115007801402
x22 = -51.8362786983962
x23 = 2.35619449019234
x24 = -55.7632696012188
x25 = 64.4026493506022
x26 = 100.007366139275
x27 = 34.0339204138894
x28 = 51.8362788264575
x29 = 43.9822971679449
x30 = 72.2566310277734
x31 = -41.6261026600648
x32 = -84.037603483527
x33 = 98.174770424681
x34 = 68.329640215578
x35 = -69.6386371545737
x36 = 28.2743338660861
x37 = 76.1836218495525
x38 = 12.0427718387609
x39 = 54.1924732744239
x40 = -58.1194640341757
x41 = 82.2050077689329
x42 = 24.3473430653209
x43 = -43.9822971761099
x44 = 20.4203522120224
x45 = -87.9645943644947
x46 = 47.9092879672443
x47 = 94.2477796093579
x48 = -15.7079632934102
x49 = -49.7418836818384
x50 = -36.1283154599316
x51 = -59.6902604502332
x52 = 56.025068989018
x53 = -93.7241808320955
x54 = -85.6083998103219
x55 = 95.818575957299
x56 = 87.9645943299053
x57 = 0.0
x58 = -71.733032256967
x59 = -21.9911485868329
x60 = -63.6172512351933
x61 = 69.9004365423729
x62 = 10.2101761241668
x63 = 6.28318528604168
x64 = -77.7544181763474
x65 = 32.2013246992954
x66 = 46.3384916404494
x67 = -19.6349540849362
x68 = 7.85398168586665
x69 = -11.7809724509617
x70 = 78.0162175641465
x71 = -37.6991118722012
x72 = 86.3937979228078
x73 = 65.973445749588
x74 = 56.5486676244248
x75 = -23.5619449129747
x76 = 73.8274273935773
x77 = 18.3259571459405
x78 = -25.6563400043166
x79 = -89.5353905355321
x80 = -14.1371668865302
x81 = -5.75958653158129
x82 = 50.2654824466747
x83 = -90.5825881785057
x84 = -7.85398154702435
x85 = -27.7507351067098
x86 = -31.9395253114962
x87 = -18.0641577581413
x88 = 91.8915851175014
x89 = 15.7079635280697
x90 = -73.8274272839889
x91 = 29.8451302570002
x92 = 84.2994028713261
x93 = 16.2315620435473
x94 = 90.3207887907066
x95 = -1.57079635283097
x96 = 40.317105721069
x97 = 3.92699081698724
x98 = -59.1666616426078
x99 = -65.9734457684195
x99 = -65.9734457684195
Gráfico
cos(2*x)+cos(8*x)-cos(6*x)=1 la ecuación