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cos^2((2*pi/3)-x)=cos^2((2*pi/3)+x) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   2/2*pi    \      2/2*pi    \
cos |---- - x| = cos |---- + x|
    \ 3      /       \ 3      /
cos2(x+2π3)=cos2(x+2π3)\cos^{2}{\left(- x + \frac{2 \pi}{3} \right)} = \cos^{2}{\left(x + \frac{2 \pi}{3} \right)}
Gráfica
0-80-60-40-2020406080-10010002
Suma y producto de raíces [src]
suma
  pi   pi     
- -- + -- + pi
  2    2      
(π2+π2)+π\left(- \frac{\pi}{2} + \frac{\pi}{2}\right) + \pi
=
pi
π\pi
producto
  -pi  pi   
0*----*--*pi
   2   2    
ππ20(π2)\pi \frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)
=
0
00
0
Respuesta rápida [src]
x1 = 0
x1=0x_{1} = 0
     -pi 
x2 = ----
      2  
x2=π2x_{2} = - \frac{\pi}{2}
     pi
x3 = --
     2 
x3=π2x_{3} = \frac{\pi}{2}
x4 = pi
x4=πx_{4} = \pi
x4 = pi
Respuesta numérica [src]
x1 = -31.4159265358979
x2 = 51.8362787842316
x3 = -36.1283155162826
x4 = 4.71238898038469
x5 = 89.5353906273091
x6 = 36.1283155162826
x7 = -59.6902604182061
x8 = -42.4115008234622
x9 = 21.9911485751286
x10 = 43.9822971502571
x11 = 15.707963267949
x12 = -53.4070751110265
x13 = -80.1106126665397
x14 = 7.85398163397448
x15 = -29.845130209103
x16 = -6.28318530717959
x17 = 78.5398163397448
x18 = -23.5619449019235
x19 = -17.2787595947439
x20 = 14.1371669411541
x21 = 58.1194640914112
x22 = 94.2477796076938
x23 = 12.5663706143592
x24 = 31.4159265358979
x25 = -51.8362787842316
x26 = -39.2699081698724
x27 = 80.1106126665397
x28 = 81.6814089933346
x29 = -72.2566310325652
x30 = 64.4026493985908
x31 = 590.619418874881
x32 = 67.5442420521806
x33 = -20.4203522483337
x34 = 0.0
x35 = -58.1194640914112
x36 = -50.2654824574367
x37 = -81.6814089933346
x38 = 86.3937979737193
x39 = -64.4026493985908
x40 = -14.1371669411541
x41 = -48.6946861306418
x42 = 26.7035375555132
x43 = 23.5619449019235
x44 = -87.9645943005142
x45 = 6.28318530717959
x46 = -61.261056745001
x47 = -119.380520836412
x48 = -37.6991118430775
x49 = -7.85398163397448
x50 = 34.5575191894877
x51 = 45.553093477052
x52 = 65.9734457253857
x53 = 20.4203522483337
x54 = -28.2743338823081
x55 = -67.5442420521806
x56 = 72.2566310325652
x57 = -43.9822971502571
x58 = 73.8274273593601
x59 = -9.42477796076938
x60 = -75.398223686155
x61 = 113.097335529233
x62 = -95.8185759344887
x63 = -97.3893722612836
x64 = 87.9645943005142
x65 = 42.4115008234622
x66 = 95.8185759344887
x67 = 59.6902604182061
x68 = 29.845130209103
x69 = 100.530964914873
x70 = -73.8274273593601
x71 = -40.8407044966673
x72 = 48.6946861306418
x73 = 28.2743338823081
x74 = 70.6858347057703
x75 = -94.2477796076938
x76 = -89.5353906273091
x77 = -21.9911485751286
x78 = 56.5486677646163
x79 = -65.9734457253857
x80 = -15.707963267949
x81 = -45.553093477052
x82 = -1.5707963267949
x83 = -83.2522053201295
x84 = -86.3937979737193
x85 = 92.6769832808989
x86 = 50.2654824574367
x87 = 37.6991118430775
x88 = 1.5707963267949
x88 = 1.5707963267949