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sin(x/2)/2+cos(x/2)/2-1/2=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /x\      /x\        
sin|-|   cos|-|        
   \2/      \2/   1    
------ + ------ - - = 0
  2        2      2    
$$\left(\frac{\sin{\left(\frac{x}{2} \right)}}{2} + \frac{\cos{\left(\frac{x}{2} \right)}}{2}\right) - \frac{1}{2} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
pi
$$\pi$$
=
pi
$$\pi$$
producto
0*pi
$$0 \pi$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
x2 = pi
$$x_{2} = \pi$$
x2 = pi
Respuesta numérica [src]
x1 = -75.398223686155
x2 = -34.5575191894877
x3 = -97.3893722612836
x4 = -62.8318530717959
x5 = 87.9645943005142
x6 = -87.9645943005142
x7 = 942.477796076938
x8 = -15016.8128841592
x9 = -47.1238898038469
x10 = 100.530964914873
x11 = 62.8318530717959
x12 = 3.14159265358979
x13 = 28.2743338823081
x14 = 12.5663706143592
x15 = -44799.1112401905
x16 = 25.1327412287183
x17 = -37.6991118430775
x18 = -59.6902604182061
x19 = 40.8407044966673
x20 = 15.707963267949
x21 = -1432.56625003695
x22 = 65.9734457253857
x23 = -72.2566310325652
x24 = -21.9911485751286
x25 = 91.106186954104
x26 = 53.4070751110265
x27 = -223.053078404875
x28 = -100.530964914873
x29 = 0.0
x30 = -84.8230016469244
x31 = -12.5663706143592
x32 = 75.398223686155
x33 = 78.5398163397448
x34 = -50.2654824574367
x35 = -9.42477796076938
x36 = 50.2654824574367
x37 = 37.6991118430775
x38 = -25.1327412287183
x38 = -25.1327412287183