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tan(3*x-1)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
tan(3*x - 1) = 0
$$\tan{\left(3 x - 1 \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(3 x - 1 \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0

Obtenemos:
$$\tan{\left(3 x - 1 \right)} = 0$$
Esta ecuación se reorganiza en
$$3 x - 1 = \pi n + \operatorname{atan}{\left(0 \right)}$$
O
$$3 x - 1 = \pi n$$
, donde n es cualquier número entero
Transportemos
$$-1$$
al miembro derecho de la ecuación
con el signo opuesto, en total:
$$3 x = \pi n + 1$$
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} + \frac{1}{3}$$
Gráfica
Respuesta rápida [src]
x1 = 1/3
$$x_{1} = \frac{1}{3}$$
x1 = 1/3
Suma y producto de raíces [src]
suma
1/3
$$\frac{1}{3}$$
=
1/3
$$\frac{1}{3}$$
producto
1/3
$$\frac{1}{3}$$
=
1/3
$$\frac{1}{3}$$
1/3
Respuesta numérica [src]
x1 = -8.04424707623945
x2 = 55.834803546753
x3 = 44.3156304835904
x4 = -91.8200511719673
x5 = 50.59881579077
x6 = 22.3244819084619
x7 = 75.7315570194884
x8 = 35.9380500740177
x9 = -3.85545687145306
x10 = 97.7227055946169
x11 = -63.5457172896591
x12 = -14.327432383419
x13 = -36.3185809585476
x14 = -5.94985197384625
x15 = 79.9203472242748
x16 = -47.8377540217102
x17 = -80.3008781088047
x18 = -25.8466054465816
x19 = 38.0324451764109
x20 = -85.5368658647877
x21 = 2.42772843572653
x22 = 46.4100255859836
x23 = -43.6489638169238
x24 = -37.3657785097442
x25 = -81.3480756600013
x26 = 7.66371619170952
x27 = 51.6460133419666
x28 = 99.8171006970101
x29 = 26.5132721132483
x30 = 73.6371619170952
x31 = 28.6076672156415
x32 = 16.0412966012823
x33 = -71.9232976992319
x34 = -19.563420139402
x35 = -65.6401123920523
x36 = 86.2035325314543
x37 = -12.2330372810258
x38 = -23.7522103441884
x39 = 84.1091374290611
x40 = 62.1179888539326
x41 = -76.1120879040183
x42 = -61.4513221872659
x43 = -78.2064830064115
x44 = -17.4690250370088
x45 = -87.6312609671809
x46 = -15.3746299346156
x47 = 20.2300868060687
x48 = 70.4955692635054
x49 = -34.2241858561544
x50 = 53.7404084443598
x51 = 66.306779058719
x52 = -27.9410005489748
x53 = -45.743358919317
x54 = 94.5811129410271
x55 = -58.3097295336761
x56 = -30.035395651368
x57 = 18.1356917036755
x58 = 92.4867178386339
x59 = -98.1032364791469
x60 = -69.8289025968387
x61 = -52.0265442264966
x62 = 0.333333333333333
x63 = -49.9321491241034
x64 = 77.8259521218816
x65 = 24.4188770108551
x66 = -74.0176928016251
x67 = -59.3569270848727
x68 = 29.6548647668381
x69 = -100.19763158154
x70 = 60.0235937515394
x71 = 4.52212353811972
x72 = -54.1209393288897
x73 = -41.5545687145306
x74 = -32.1297907537612
x75 = -21.6578152417952
x76 = -83.4424707623945
x77 = 57.9291986491462
x78 = 9.75811129410271
x79 = 68.4011741611122
x80 = 40.126840278804
x81 = -39.4601736121374
x82 = -89.7256560695741
x83 = 31.7492598692313
x84 = 88.2979276338476
x85 = 48.5044206883768
x86 = 11.8525063964959
x87 = 13.9469014988891
x88 = 42.2212353811972
x89 = -96.0088413767537
x90 = 90.3923227362407
x91 = -67.7345074944455
x92 = 6.61651864051292
x93 = -56.2153344312829
x94 = 72.5899643658986
x95 = -93.9144462743605
x96 = 82.014742326668
x97 = 64.2123839563258
x98 = 96.6755080434203
x99 = -1.76106176905986
x100 = 33.8436549716245
x101 = -10.1386421786326
x101 = -10.1386421786326