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tgx*(2-cosx)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
tan(x)*(2 - cos(x)) = 0
$$\left(2 - \cos{\left(x \right)}\right) \tan{\left(x \right)} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
               /  ___\
               |\/ 3 |
x2 = -2*I*atanh|-----|
               \  3  /
$$x_{2} = - 2 i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)}$$
              /  ___\
              |\/ 3 |
x3 = 2*I*atanh|-----|
              \  3  /
$$x_{3} = 2 i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)}$$
x3 = 2*i*atanh(sqrt(3)/3)
Suma y producto de raíces [src]
suma
           /  ___\            /  ___\
           |\/ 3 |            |\/ 3 |
- 2*I*atanh|-----| + 2*I*atanh|-----|
           \  3  /            \  3  /
$$- 2 i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)} + 2 i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)}$$
=
0
$$0$$
producto
            /  ___\          /  ___\
            |\/ 3 |          |\/ 3 |
0*-2*I*atanh|-----|*2*I*atanh|-----|
            \  3  /          \  3  /
$$2 i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)} 0 \left(- 2 i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 31.4159265358979
x2 = 3.14159265358979
x3 = -47.1238898038469
x4 = -12.5663706143592
x5 = -34.5575191894877
x6 = -69.1150383789755
x7 = 75.398223686155
x8 = -65.9734457253857
x9 = -50.2654824574367
x10 = -56.5486677646163
x11 = 59.6902604182061
x12 = 72.2566310325652
x13 = 91.106186954104
x14 = -91.106186954104
x15 = -62.8318530717959
x16 = -6.28318530717959
x17 = 6.28318530717959
x18 = 62.8318530717959
x19 = -25.1327412287183
x20 = 94.2477796076938
x21 = -9.42477796076938
x22 = -37.6991118430775
x23 = 65.9734457253857
x24 = -100.530964914873
x25 = -43.9822971502571
x26 = 25.1327412287183
x27 = 21.9911485751286
x28 = 87.9645943005142
x29 = -40.8407044966673
x30 = -97.3893722612836
x31 = 43.9822971502571
x32 = -53.4070751110265
x33 = 97.3893722612836
x34 = 100.530964914873
x35 = -94.2477796076938
x36 = -31.4159265358979
x37 = 18.8495559215388
x38 = 78.5398163397448
x39 = -18.8495559215388
x40 = 53.4070751110265
x41 = 47.1238898038469
x42 = 12.5663706143592
x43 = 81.6814089933346
x44 = 34.5575191894877
x45 = -75.398223686155
x46 = -15.707963267949
x47 = 50.2654824574367
x48 = -81.6814089933346
x49 = -3.14159265358979
x50 = -59.6902604182061
x51 = -28.2743338823081
x52 = -87.9645943005142
x53 = 9.42477796076938
x54 = -21.9911485751286
x55 = 56.5486677646163
x56 = 15.707963267949
x57 = 84.8230016469244
x58 = -78.5398163397448
x59 = 37.6991118430775
x60 = -72.2566310325652
x61 = -84.8230016469244
x62 = 69.1150383789755
x63 = 0.0
x64 = 28.2743338823081
x65 = 40.8407044966673
x65 = 40.8407044966673