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1+cos(x)=2*cos(x/2) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                  /x\
1 + cos(x) = 2*cos|-|
                  \2/
cos(x)+1=2cos(x2)\cos{\left(x \right)} + 1 = 2 \cos{\left(\frac{x}{2} \right)}
Gráfica
0-80-60-40-2020406080-1001005-5
Suma y producto de raíces [src]
suma
-pi + pi
ππ\pi - \pi
=
0
00
producto
0*(-pi)*pi
π0(π)\pi 0 \left(- \pi\right)
=
0
00
0
Respuesta rápida [src]
x1 = 0
x1=0x_{1} = 0
x2 = -pi
x2=πx_{2} = - \pi
x3 = pi
x3=πx_{3} = \pi
x3 = pi
Respuesta numérica [src]
x1 = -91.106186954104
x2 = 84.8230016469244
x3 = -97.3893722612836
x4 = 91.106186954104
x5 = 12.5663704449615
x6 = -75.398223449493
x7 = -72.2566310325652
x8 = 62.8318529942854
x9 = -47.1238898038469
x10 = 15.707963267949
x11 = -62.8318527127185
x12 = 47.1238898038469
x13 = 40.8407044966673
x14 = 65.9734457253857
x15 = 100.5309635361
x16 = -28.2743338823081
x17 = 28.2743338823081
x18 = -40.8407044966673
x19 = 50.2654824463412
x20 = -15.707963267949
x21 = 37.6991116788082
x22 = 72.2566310325652
x23 = 62.8318527967639
x24 = 3.14159265358979
x25 = 5.65128337777279e-7
x26 = -59.6902604182061
x27 = -62.8318534326663
x28 = -25.1327408560625
x29 = -50.2654825512886
x30 = 21.9911485751286
x31 = 12.566370803741
x32 = 75.398223320477
x33 = -84.8230016469244
x34 = 78.5398163397448
x35 = 9.42477796076938
x36 = -87.9645934570466
x37 = -50.2654828534335
x38 = -53.4070751110265
x39 = -37.6991118772353
x40 = 53.4070751110265
x41 = -87.9645943586551
x42 = -75.3982238711374
x43 = -9.42477796076938
x44 = -50.2654822886107
x45 = 75.3982239868495
x46 = -37.6991117237943
x47 = 100.530964761509
x48 = -12.5663703251897
x49 = 87.9645943358683
x50 = -34.5575191894877
x51 = -100.530964637817
x52 = -25.1327415157014
x53 = -7115.70736038088
x54 = -3.14159265358979
x55 = 12.5663711440731
x56 = 0.0
x57 = -21.9911485751286
x58 = -15092.2111080766
x59 = -78.5398163397448
x60 = -12.5663709739477
x61 = 62.8318534384857
x62 = 87.9645944088954
x63 = -37.699112207722
x64 = 97.3893722612836
x65 = 25.1327408734344
x66 = 25.1327415937926
x67 = 37.6991120281288
x68 = 59.6902604182061
x69 = 50.2654820744793
x70 = 34.5575191894877
x71 = -65.9734457253857
x71 = -65.9734457253857