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cos(2*x)+sin(x)^(2)=cos(x) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
              2            
cos(2*x) + sin (x) = cos(x)
$$\sin^{2}{\left(x \right)} + \cos{\left(2 x \right)} = \cos{\left(x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  2    2 
$$- \frac{\pi}{2} + \frac{\pi}{2}$$
=
0
$$0$$
producto
  -pi  pi
0*----*--
   2   2 
$$\frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
x3 = pi/2
Respuesta numérica [src]
x1 = -18.8495562409837
x2 = 86.3937979737193
x3 = 92.6769832808989
x4 = -7.85398163397448
x5 = 1.5707963267949
x6 = -58.1194640914112
x7 = -20.4203522483337
x8 = 32.9867228626928
x9 = -389.557489134924
x10 = -45.553093477052
x11 = 64.4026493985908
x12 = -94.2477794613449
x13 = 69.1150385134118
x14 = -29.845130209103
x15 = 25.1327418085792
x16 = 69.1150379836781
x17 = 37.6991120060109
x18 = 70.6858347057703
x19 = 42.4115008234622
x20 = 17.2787595947439
x21 = -32.9867228626928
x22 = 95.8185759344887
x23 = 58.1194640914112
x24 = -73.8274273593601
x25 = 7.85398163397448
x26 = 0.0
x27 = -69.115038497193
x28 = 54.9778714378214
x29 = 89.5353906273091
x30 = 23.5619449019235
x31 = -62.8318534973011
x32 = -92.6769832808989
x33 = -48.6946861306418
x34 = 75.3982238342404
x35 = -42.4115008234622
x36 = -67.5442420521806
x37 = 10.9955742875643
x38 = 20.4203522483337
x39 = -12.5663704469816
x40 = -56.5486675907774
x41 = -50.2654823051418
x42 = 39.2699081698724
x43 = -43.9822971746199
x44 = -14.1371669411541
x45 = 76.9690200129499
x46 = 100.530964774136
x47 = 29.845130209103
x48 = 6.28318528429551
x49 = -6.28318514935383
x50 = 26.7035375555132
x51 = 48.6946861306418
x52 = -86.3937979737193
x53 = -54.9778714378214
x54 = -37.6991118770355
x55 = 80.1106126665397
x56 = -100.530964736174
x57 = 43.9822971693881
x58 = -95.8185759344887
x59 = -36.1283155162826
x60 = -81.6814090377756
x61 = 51.8362787842316
x62 = 81.6814091609407
x63 = -4.71238898038469
x64 = -75.3982238479311
x65 = -1.5707963267949
x66 = -31.4159266930206
x67 = 94.2477796093526
x68 = 25.1327408583892
x69 = 50.2654824463558
x70 = 31.4159266948554
x71 = -83.2522053201295
x72 = -17.2787595947439
x73 = 62.8318529132021
x74 = 45.553093477052
x75 = 56.5486676180351
x76 = 83.2522053201295
x77 = -51.8362787842316
x78 = -87.964594358935
x79 = -39.2699081698724
x80 = 4.71238898038469
x81 = 36.1283155162826
x82 = -70.6858347057703
x83 = 12.5663704623094
x84 = 98.9601685880785
x85 = -23.5619449019235
x86 = -25.1327413641924
x87 = -10.9955742875643
x88 = 61.261056745001
x89 = 73.8274273593601
x90 = 14.1371669411541
x91 = -26.7035375555132
x92 = 18.8495557729205
x93 = -89.5353906273091
x94 = 87.9645943356049
x95 = -76.9690200129499
x96 = -80.1106126665397
x97 = -98.9601685880785
x97 = -98.9601685880785