Sr Examen

sinx+sin3x=2sin2x la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x) + sin(3*x) = 2*sin(2*x)
$$\sin{\left(x \right)} + \sin{\left(3 x \right)} = 2 \sin{\left(2 x \right)}$$
Gráfica
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
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 numérica [src]
x1 = 65.9734457253857
x2 = -94.2477151718079
x3 = -62.831811416058
x4 = -23.5619449019235
x5 = -29.845130209103
x6 = -21.9911485751286
x7 = 6.28317668554181
x8 = 21.9911485751286
x9 = 1.5707963267949
x10 = -15.707963267949
x11 = 42.4115008234622
x12 = -1269.20342490537
x13 = 4.71238898038469
x14 = 100.530902429653
x15 = 36.1283155162826
x16 = -62.8318074876145
x17 = 87.9646063022244
x18 = -43.9823032301506
x19 = 69.1150530230732
x20 = -80.1106126665397
x21 = 25.1327989510172
x22 = 86.3937979737193
x23 = -87.9646059559836
x24 = 64.4026493985908
x25 = -83.2522053201295
x26 = -95.8185759344887
x27 = 28.2743338823081
x28 = -1.5707963267949
x29 = -86.3937979737193
x30 = 73.8274273593601
x31 = -53.4070751110265
x32 = -39.2699081698724
x33 = 59.6902604182061
x34 = -37.699124949212
x35 = -6.2831143821254
x36 = -42.4115008234622
x37 = 72.2566310325652
x38 = -51.8362787842316
x39 = 58.1194640914112
x40 = -73.8274273593601
x41 = 51.8362787842316
x42 = 78.5398163397448
x43 = 29.845130209103
x44 = -50.2654147146836
x45 = -45.553093477052
x46 = 80.1106126665397
x47 = -58.1194640914112
x48 = -36.1283155162826
x49 = -72.2566310325652
x50 = -40.8407044966673
x51 = -65.9734457253857
x52 = 0.0
x53 = -28.2743338823081
x54 = -67.5442420521806
x55 = 25.1327215363518
x56 = -7.85398163397448
x57 = -97.3893722612836
x58 = 48.6946861306418
x59 = 81.6814859155387
x60 = 89.5353906273091
x61 = 12.5663019045638
x62 = -18.8495399461498
x63 = 7.85398163397448
x64 = -14.1371669411541
x65 = 69.1149752521823
x66 = 56.5486021204051
x67 = -31.4159982155844
x68 = 50.2654784094319
x69 = -59.6902604182061
x70 = 37.699185827683
x71 = 43.9823032517286
x72 = 94.2477801894811
x73 = 14.1371669411541
x74 = 34.5575191894877
x75 = 20.4203522483337
x76 = 45.553093477052
x77 = 95.8185759344887
x78 = 15.707963267949
x79 = -89.5353906273091
x80 = -81.6814264821145
x81 = -75.3982982373223
x82 = 92.6769832808989
x83 = -9.42477796076938
x84 = 103.672557568463
x84 = 103.672557568463