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sin2x-cosx+2sinx=1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(2*x) - cos(x) + 2*sin(x) = 1
$$\left(\sin{\left(2 x \right)} - \cos{\left(x \right)}\right) + 2 \sin{\left(x \right)} = 1$$
Gráfica
Suma y producto de raíces [src]
suma
pi   5*pi     
-- + ---- + pi
6     6       
$$\left(\frac{\pi}{6} + \frac{5 \pi}{6}\right) + \pi$$
=
2*pi
$$2 \pi$$
producto
pi 5*pi   
--*----*pi
6   6     
$$\pi \frac{\pi}{6} \frac{5 \pi}{6}$$
=
    3
5*pi 
-----
  36 
$$\frac{5 \pi^{3}}{36}$$
5*pi^3/36
Respuesta rápida [src]
     pi
x1 = --
     6 
$$x_{1} = \frac{\pi}{6}$$
     5*pi
x2 = ----
      6  
$$x_{2} = \frac{5 \pi}{6}$$
x3 = pi
$$x_{3} = \pi$$
x3 = pi
Respuesta numérica [src]
x1 = 72.2566310278589
x2 = 57.0722665402146
x3 = -74.8746249105567
x4 = -34.5575185914235
x5 = -43.4586983746588
x6 = 28.2743338669881
x7 = -68.5914396033772
x8 = 94.7713783832921
x9 = 15.7079635721351
x10 = -3.66519142918809
x11 = -59.6902601203391
x12 = -85.3466004225227
x13 = 147.654855368562
x14 = 34.5575202036306
x15 = -47.6474885794452
x16 = 69.6386371545737
x17 = 52.8834763354282
x18 = 21.9911484715325
x19 = -72.7802298081635
x20 = -41.3643032722656
x21 = -97.3893711974334
x22 = 38.2227106186758
x23 = 91.1061878935698
x24 = 50.789081233035
x25 = 65.4498469497874
x26 = -56.025068989018
x27 = 3.14159356211821
x28 = -40.8407036042192
x29 = -21.9911479514108
x30 = 6.80678408277789
x31 = -28.7979326579064
x32 = -97.9129710368819
x33 = 88.4881930761125
x34 = 31.9395253114962
x35 = 82.2050077689329
x36 = -15.7079632913578
x37 = -47.1238887163888
x38 = -100.007366139275
x39 = -49.7418836818384
x40 = 97.3893729180805
x41 = 25.6563400043166
x42 = -65.9734457598303
x43 = 40.8407055961596
x44 = -79.0634151153431
x45 = 15.1843644923507
x46 = 21.9911485855611
x47 = 101.054563690472
x48 = 21.9911484361764
x49 = 84.2994028713261
x50 = 9.42477857849888
x51 = 90.5825881785057
x52 = -37.1755130674792
x53 = -53.9306738866248
x54 = -198.443935951755
x55 = -53.4070740613627
x56 = 28.2743339882383
x57 = -87.4409955249159
x58 = -9.42477692760544
x59 = -9.94837673636768
x60 = -12.0427718387609
x61 = 59.6902607414372
x62 = -72.2566307660511
x63 = 40.317105721069
x64 = 72.256631044562
x65 = 8.90117918517108
x66 = -78.5398157614104
x67 = -91.6297857297023
x68 = 34.0339204138894
x69 = 47.1238907280556
x70 = 78.5398173321109
x71 = 53.4070757483394
x72 = -28.2743335970297
x73 = -93.7241808320955
x74 = 65.9734457556906
x75 = -30.8923277602996
x76 = 78.0162175641465
x77 = 2.61799387799149
x78 = -3.14159155967147
x79 = -21.9911485860059
x80 = 96.8657734856853
x81 = -15.7079630649787
x82 = 44.5058959258554
x83 = -5.75958653158129
x84 = 13.0899693899575
x85 = -59.6902604472877
x86 = -81.1578102177363
x87 = 84.8230027510588
x88 = -18.3259571459405
x89 = 46.6002910282486
x90 = 59.1666616426078
x91 = 75.9218224617533
x92 = -62.3082542961976
x93 = -84.8230007709341
x94 = 0.523598775598299
x95 = -35.081117965086
x96 = -91.1061858739496
x96 = -91.1061858739496