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tg2x=1 la ecuación

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Ha introducido [src]

tan(2*x) = 1

\tan{\left(2 x \right)} = 1

Simplificar

Solución detallada

Tenemos la ecuación

\tan{\left(2 x \right)} = 1

es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en

2 x = \pi n + \operatorname{atan}{\left(1 \right)}

2 x = \pi n + \frac{\pi}{4}

, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en

2

obtenemos la respuesta:

x_{1} = \frac{\pi n}{2} + \frac{\pi}{8}

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

     pi
x1 = --
     8

x_{1} = \frac{\pi}{8}

x1 = pi/8

Suma y producto de raíces [src]

suma

pi
--
8

\frac{\pi}{8}

pi
--
8

\frac{\pi}{8}

producto

pi
--
8

\frac{\pi}{8}

pi
--
8

\frac{\pi}{8}

pi/8

Respuesta numérica [src]

x1 = 67.9369411338793

x2 = -31.0232274541992

x3 = 100.923663996572

x4 = -16.8860605130451

x5 = 93.0696823625976

x6 = 88.3572933822129

x7 = 66.3661448070844

x8 = -9.03207887907065

x9 = -1.17809724509617

x10 = -7.46128255227576

x11 = 74.2201264410589

x12 = -95.42587685279

x13 = 20.8130513300324

x14 = 53.7997741927252

x15 = 56.941366846315

x16 = 63.2245521534946

x17 = 8.24668071567321

x18 = -23.1692458202247

x19 = -75.0055246044563

x20 = -93.8550805259951

x21 = 86.786497055418

x22 = -78.1471172580461

x23 = -15.3152641862502

x24 = 78.9325154214436

x25 = 60.0829594999048

x26 = 22.3838476568273

x27 = 94.6404786893925

x28 = 96.2112750161874

x29 = -73.4347282776614

x30 = -49.872783375738

x31 = 9.8174770424681

x32 = -59.2975613365073

x33 = -24.7400421470196

x34 = 27.096236637212

x35 = -57.7267650097125

x36 = 6.67588438887831

x37 = 36.5210145979813

x38 = 45.9457925587507

x39 = 85.2157007286231

x40 = 12.9590696960579

x41 = 5.10508806208341

x42 = 49.0873852123405

x43 = 64.7953484802895

x44 = 38.0918109247762

x45 = -43.5895980685584

x46 = -81.2887099116359

x47 = 52.2289778659303

x48 = 42.8041999051609

x49 = 34.9502182711865

x50 = -20.0276531666349

x51 = -100.138265833175

x52 = -34.164820107789

x53 = -42.0188017417635

x54 = -5.89048622548086

x55 = -68.7223392972767

x56 = -21.5984494934298

x57 = 41.233403578366

x58 = 31.8086256175967

x59 = -96.9966731795849

x60 = 23.9546439836222

x61 = -53.0143760293278

x62 = 0.392699081698724

x63 = -37.3064127613788

x64 = -89.1426915456104

x65 = -86.0010988920206

x66 = 75.7909227678538

x67 = -13.7444678594553

x68 = -35.7356164345839

x69 = -64.009950316892

x70 = 72.649330114264

x71 = 71.0785337874691

x72 = 16.1006623496477

x73 = 14.5298660228528

x74 = 58.5121631731099

x75 = -60.8683576633022

x76 = 82.0741080750334

x77 = 44.3749962319558

x78 = -56.1559686829176

x79 = -87.5718952188155

x80 = 28.6670329640069

x81 = 80.5033117482384

x82 = -82.8595062384308

x83 = -27.8816348006094

x84 = 89.9280897090078

x85 = 30.2378292908018

x86 = -79.717913584841

x87 = 50.6581815391354

x88 = -38.8772090881737

x89 = 97.7820713429823

x90 = -12.1736715326604

x91 = -45.1603943953533

x92 = -51.4435797025329

x93 = -29.4524311274043

x94 = -90.7134878724053

x95 = -67.1515429704818

x96 = -46.7311907221482

x97 = 19.2422550032375

x98 = -2.74889357189107

x99 = 1.96349540849362

x100 = -71.8639319508665

x101 = -65.5807466436869

x101 = -65.5807466436869

Gráfico