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1+sin2x=2sinx+cosx

1+sin2x=2sinx+cosx la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
1 + sin(2*x) = 2*sin(x) + cos(x)
$$\sin{\left(2 x \right)} + 1 = 2 \sin{\left(x \right)} + \cos{\left(x \right)}$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     pi
x2 = --
     6 
$$x_{2} = \frac{\pi}{6}$$
     5*pi
x3 = ----
      6  
$$x_{3} = \frac{5 \pi}{6}$$
x3 = 5*pi/6
Suma y producto de raíces [src]
suma
pi   5*pi
-- + ----
6     6  
$$\frac{\pi}{6} + \frac{5 \pi}{6}$$
=
pi
$$\pi$$
producto
  pi 5*pi
0*--*----
  6   6  
$$\frac{5 \pi}{6} \cdot 0 \frac{\pi}{6}$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -3.66519142918809
x2 = 38.2227106186758
x3 = -74.8746249105567
x4 = 352.381975977655
x5 = 62.8318525082378
x6 = 15.1843644923507
x7 = -68.5914396033772
x8 = -9.94837673636768
x9 = -56.025068989018
x10 = -24.60914245312
x11 = -16.2315620435473
x12 = -37.6991118817151
x13 = 25.6563400043166
x14 = -31.4159268321283
x15 = -97.9129710368819
x16 = 50.2654824458702
x17 = -75.3982240006613
x18 = -53.9306738866248
x19 = -25.1327418311977
x20 = -81.6814090458955
x21 = 107.337748997651
x22 = 12.566370336203
x23 = 2.0668656148758e-8
x24 = -100.007366139275
x25 = 31.4159254673696
x26 = -43.9822971788554
x27 = 87.9645941338599
x28 = 90.5825881785057
x29 = 37.699110844282
x30 = -81.1578102177363
x31 = -50.265483409623
x32 = -43.9822970568812
x33 = 43.9822970802634
x34 = -28.7979326579064
x35 = -91.6297857297023
x36 = 34.0339204138894
x37 = 50.2654824984026
x38 = -69.1150390008351
x39 = 100.530964672207
x40 = 69.6386371545737
x41 = 2.61799387799149
x42 = -87.9645941820812
x43 = -85.3466004225227
x44 = 12.5663705477346
x45 = -6.28318628428167
x46 = -18.8495568134307
x47 = 87.9645943273946
x48 = 94.2477794051836
x49 = -94.2477805314236
x50 = -12.0427718387609
x51 = 82.2050077689329
x52 = -47.6474885794452
x53 = 57.0722665402146
x54 = -37.1755130674792
x55 = 75.9218224617533
x56 = -49.7418836818384
x57 = 94.2477796093419
x58 = -62.8318539793507
x59 = 44.5058959258554
x60 = 27.7507351067098
x61 = 13.0899693899575
x62 = -93.7241808320955
x63 = 75.3982226244823
x64 = -72.7802298081635
x65 = 69.1150375195861
x66 = -30.8923277602996
x67 = -66.497044500984
x68 = 56.5486675043193
x69 = 0.0
x70 = 63.3554518473942
x71 = 19.3731546971371
x72 = 21.4675497995303
x73 = -69.1150384155329
x74 = 6.80678408277789
x75 = 25.1327403528898
x76 = 46.6002910282486
x77 = 78.0162175641465
x78 = 81.6814079757836
x79 = 31.9395253114962
x80 = -5.75958653158129
x81 = -56.5486688440185
x82 = 6.28318528219762
x83 = 65.4498469497874
x84 = -62.3082542961976
x85 = -18.3259571459405
x86 = -41.3643032722656
x87 = -31.4159265238547
x88 = 84.2994028713261
x89 = 18.8495553384994
x90 = -22.5147473507269
x91 = -60.2138591938044
x92 = -87.9645943860375
x93 = 43.9822971669488
x94 = 40.317105721069
x95 = -12.5663716888156
x96 = 59.1666616426078
x97 = 71.733032256967
x97 = 71.733032256967
Gráfico
1+sin2x=2sinx+cosx la ecuación