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2sin(п+x)cos(п/2+x)=sinx la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                 /pi    \         
2*sin(pi + x)*cos|-- + x| = sin(x)
                 \2     /         
$$2 \sin{\left(x + \pi \right)} \cos{\left(x + \frac{\pi}{2} \right)} = \sin{\left(x \right)}$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     pi
x2 = --
     6 
$$x_{2} = \frac{\pi}{6}$$
     5*pi
x3 = ----
      6  
$$x_{3} = \frac{5 \pi}{6}$$
x4 = pi
$$x_{4} = \pi$$
x4 = pi
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   
0*--*----*pi
  6   6     
$$\pi \frac{5 \pi}{6} \cdot 0 \frac{\pi}{6}$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -476.99848457005
x2 = 78.0162175641465
x3 = 40.317105721069
x4 = 50.789081233035
x5 = -41.3643032722656
x6 = -62.3082542961976
x7 = -24.60914245312
x8 = -5.75958653158129
x9 = 90.5825881785057
x10 = 59.6902604182061
x11 = -97.9129710368819
x12 = -9.94837673636768
x13 = -21.9911485751286
x14 = 96.8657734856853
x15 = 15.707963267949
x16 = -81.6814089933346
x17 = -49.7418836818384
x18 = -53.9306738866248
x19 = -40.8407044966673
x20 = 69.6386371545737
x21 = 5931.32692997753
x22 = -59.6902604182061
x23 = -56.025068989018
x24 = -74.8746249105567
x25 = -43.9822971502571
x26 = -31.4159265358979
x27 = 12.5663706143592
x28 = 31.9395253114962
x29 = 43.9822971502571
x30 = -15.707963267949
x31 = 9.42477796076938
x32 = -84.8230016469244
x33 = 25.1327412287183
x34 = 0.0
x35 = -65.9734457253857
x36 = -62.8318530717959
x37 = 19.3731546971371
x38 = -28.2743338823081
x39 = -69.1150383789755
x40 = -18.8495559215388
x41 = -12.0427718387609
x42 = -68.5914396033772
x43 = 62.8318530717959
x44 = 82.2050077689329
x45 = -75.398223686155
x46 = 91.106186954104
x47 = 34.0339204138894
x48 = 84.2994028713261
x49 = 28.2743338823081
x50 = 65.9734457253857
x51 = 128.281700021583
x52 = -143.989663289532
x53 = -18.3259571459405
x54 = 25.6563400043166
x55 = -87.9645943005142
x56 = 2.61799387799149
x57 = 47.1238898038469
x58 = -3.66519142918809
x59 = 94.2477796076938
x60 = -91.6297857297023
x61 = 38.2227106186758
x62 = -47.6474885794452
x63 = 72.2566310325652
x64 = 3.14159265358979
x65 = 75.9218224617533
x66 = 56.5486677646163
x67 = 100.530964914873
x68 = -85.3466004225227
x69 = -100.007366139275
x70 = 6.28318530717959
x71 = -53.4070751110265
x72 = 69.1150383789755
x73 = 21.9911485751286
x74 = -25.1327412287183
x75 = 18.8495559215388
x76 = 46.6002910282486
x77 = -72.2566310325652
x78 = 87.9645943005142
x79 = 50.2654824574367
x80 = 53.4070751110265
x81 = 97.3893722612836
x82 = -37.6991118430775
x83 = -78.5398163397448
x84 = -93.7241808320955
x85 = -106.290551446455
x86 = -34.5575191894877
x86 = -34.5575191894877