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5tgx-8ctgx+6=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
5*tan(x) - 8*cot(x) + 6 = 0
$$\left(5 \tan{\left(x \right)} - 8 \cot{\left(x \right)}\right) + 6 = 0$$
Gráfica
Respuesta rápida [src]
x1 = atan(4/5)
$$x_{1} = \operatorname{atan}{\left(\frac{4}{5} \right)}$$
x2 = -atan(2)
$$x_{2} = - \operatorname{atan}{\left(2 \right)}$$
x2 = -atan(2)
Suma y producto de raíces [src]
suma
atan(4/5) - atan(2)
$$- \operatorname{atan}{\left(2 \right)} + \operatorname{atan}{\left(\frac{4}{5} \right)}$$
=
-atan(2) + atan(4/5)
$$- \operatorname{atan}{\left(2 \right)} + \operatorname{atan}{\left(\frac{4}{5} \right)}$$
producto
atan(4/5)*(-atan(2))
$$\operatorname{atan}{\left(\frac{4}{5} \right)} \left(- \operatorname{atan}{\left(2 \right)}\right)$$
=
-atan(2)*atan(4/5)
$$- \operatorname{atan}{\left(\frac{4}{5} \right)} \operatorname{atan}{\left(2 \right)}$$
-atan(2)*atan(4/5)
Respuesta numérica [src]
x1 = -77.8650753975213
x2 = -87.2898533582907
x3 = -24.4580002864948
x4 = 54.08181605325
x5 = -40.1659635544438
x6 = 71.1494823147711
x7 = -13.6735193321533
x8 = 8.31762924297529
x9 = -63.93900178959
x10 = -60.7974091360002
x11 = -82.7885577111287
x12 = -79.6469650575389
x13 = 11.4592218965651
x14 = 63.5065940140194
x15 = 89.9990382363099
x16 = 14.6008145501549
x17 = 82.3561499355582
x18 = -11.8916296721356
x19 = 38.3738527853011
x20 = 49.1583337396426
x21 = 46.0167410860528
x22 = 76.0729646283786
x23 = -48.231038521641
x24 = 85.497742589148
x25 = -41.9478532144614
x26 = -52.7323341688029
x27 = -84.1482607047009
x28 = 36.5919631252834
x29 = -33.8827782472642
x30 = -2.46685171136624
x31 = -74.7234827439315
x32 = 77.4326676219507
x33 = 10.0995189029929
x34 = -65.2987047831621
x35 = 22.6658895173521
x36 = -10.5319266785635
x37 = -5.60844436495603
x38 = -7.39033402497368
x39 = -76.5053724039491
x40 = -98.4965209790777
x41 = 30.3087778181038
x42 = 47.7986307460705
x43 = 80.5742602755405
x44 = 41.5154454388909
x45 = -85.9301503647185
x46 = 91.7809278963276
x47 = -35.6646679072818
x48 = -29.3814826001022
x49 = 2.0344439357957
x50 = -49.5907415152131
x51 = 83.7158529291303
x52 = 44.6570380924807
x53 = 88.6393352427378
x54 = 19.5242968637623
x55 = 58.583111700412
x56 = 5.1760365893855
x57 = -32.523075253692
x58 = -96.71463131906
x59 = 61.7247043540018
x60 = 39.7335557788732
x61 = 24.0255925109243
x62 = 99.4238161970793
x63 = -92.2133356718981
x64 = -71.5818900903417
x65 = 27.167185164514
x66 = 66.6481866676092
x67 = 96.2822235434895
x68 = -99.8562239726498
x69 = -16.8151119857431
x70 = -27.5995929400846
x71 = 25.8074821709419
x72 = 69.789779321199
x73 = -93.5730386654702
x74 = 32.0906674781215
x75 = -57.6558164824104
x76 = 93.1406308898997
x77 = 17.7424072037447
x78 = -90.4314460118805
x79 = 55.4415190468222
x80 = -21.316407632905
x81 = 52.2999263932324
x82 = -70.2221870967695
x83 = 68.0078896611814
x84 = 98.0641132035071
x85 = -18.1748149793152
x86 = -43.3075562080336
x87 = -62.1571121295723
x88 = 16.3827042101725
x89 = -55.8739268223927
x90 = -38.8062605608716
x91 = 74.2910749683609
x92 = -4.24874137138388
x93 = -46.4491488616233
x94 = 33.4503704716936
x95 = -19.9567046393328
x96 = -26.2398899465124
x97 = -54.5142238288206
x98 = 3.81633359581335
x99 = -68.4402974367519
x100 = 60.3650013604296
x100 = 60.3650013604296