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sin(2x)=2sinx-cosx+1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(2*x) = 2*sin(x) - cos(x) + 1
$$\sin{\left(2 x \right)} = \left(2 \sin{\left(x \right)} - \cos{\left(x \right)}\right) + 1$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -5*pi
x2 = -----
       6  
$$x_{2} = - \frac{5 \pi}{6}$$
     -pi 
x3 = ----
      6  
$$x_{3} = - \frac{\pi}{6}$$
x3 = -pi/6
Suma y producto de raíces [src]
suma
  5*pi   pi
- ---- - --
   6     6 
$$- \frac{5 \pi}{6} - \frac{\pi}{6}$$
=
-pi
$$- \pi$$
producto
  -5*pi -pi 
0*-----*----
    6    6  
$$- \frac{\pi}{6} \cdot 0 \left(- \frac{5 \pi}{6}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 60.2138591938044
x2 = -59.1666616426078
x3 = 30.8923277602996
x4 = -75.3982226291209
x5 = 81.6814093261374
x6 = 28.7979326579064
x7 = -81.6814086497833
x8 = 43.9822980454008
x9 = -90.5825881785057
x10 = 9.94837673636768
x11 = 91.6297857297023
x12 = 87.964594340389
x13 = -62.8318521875308
x14 = -37.6991115921693
x15 = -37.6991118696315
x16 = 18.8495570183576
x17 = 87.4409955249159
x18 = 3.66519142918809
x19 = 31.4159271634305
x20 = 56.025068989018
x21 = -94.2477793505067
x22 = 74.8746249105567
x23 = -75.9218224617533
x24 = -6.80678408277789
x25 = -52.8834763354282
x26 = -31.9395253114962
x27 = -57.0722665402146
x28 = 47.6474885794452
x29 = -107.337748997651
x30 = 62.8318541737287
x31 = 6.28318546164023
x32 = 6.28318524094061
x33 = -19.3731546971371
x34 = -18.8495550210019
x35 = 35.081117965086
x36 = -8.90117918517108
x37 = -13.0899693899575
x38 = 56.548668768231
x39 = 12.0427718387609
x40 = 6.28318528751422
x41 = -87.9645943479575
x42 = 79.0634151153431
x43 = -100.530964346423
x44 = 81.6814088740965
x45 = -25.1327401379221
x46 = 43.9822971707673
x47 = 50.2654824470881
x48 = 16.2315620435473
x49 = 94.2477796093687
x50 = 24.60914245312
x51 = -56.5486671764099
x52 = -6.28318501246487
x53 = -69.6386371545737
x54 = -27.7507351067098
x55 = 37.6991121567694
x56 = 1.08139556607728e-7
x57 = -15.1843644923507
x58 = -50.789081233035
x59 = 53.9306738866248
x60 = -50.2654821815586
x61 = -21.4675497995303
x62 = 50.2654823621316
x63 = 94.2477795765828
x64 = 18.3259571459405
x65 = -84.2994028713261
x66 = 66.497044500984
x67 = -71.733032256967
x68 = 50.2654825155521
x69 = -94.7713783832921
x70 = 68.5914396033772
x71 = -81.6814090242785
x72 = -69.1150372950663
x73 = 69.1150393108671
x74 = -25.6563400043166
x75 = 0.0
x76 = -96.8657734856853
x77 = -239.284640448423
x78 = 22.5147473507269
x79 = -34.0339204138894
x80 = 100.007366139275
x81 = 75.3982243332235
x82 = 81.1578102177363
x83 = -31.4159254941825
x84 = 97.9129710368819
x85 = 37.1755130674792
x86 = 12.5663716383417
x87 = 558.679893563385
x88 = -78.0162175641465
x89 = -63.3554518473942
x90 = -12.5663700064532
x91 = 25.1327421451383
x92 = 72.7802298081635
x93 = 62.3082542961976
x94 = -43.9822971725694
x95 = -65.4498469497874
x96 = -40.317105721069
x96 = -40.317105721069