tan(2x)=2 (уравнение)

Найду корень уравнения: tan(2x)=2

Вы ввели

tan(2*x) = 2

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

Подробное решение

Дано уравнение
$$\tan{\left(2 x \right)} = 2$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$2 x = \pi n + \operatorname{atan}{\left(2 \right)}$$
Или
$$2 x = \pi n + \operatorname{atan}{\left(2 \right)}$$
, где n - любое целое число
Разделим обе части полученного ур-ния на
$$2$$
получим ответ:
$$x_{1} = \frac{\pi n}{2} + \frac{\operatorname{atan}{\left(2 \right)}}{2}$$

Быстрый ответ

     atan(2)
x1 = -------
        2   

$$x_{1} = \frac{\operatorname{atan}{\left(2 \right)}}{2}$$

Численный ответ

x1 = 13.1199449732562

x2 = 52.3898531431286

x3 = -44.999519118155

x4 = 30.3987045680001

x5 = 41.3942788555644

x6 = 2.12437068569194

x7 = 93.2305576397959

x8 = -43.4287227913601

x9 = 94.8013539665908

x10 = -451.835767758033

x11 = -13.583592582257

x12 = -68.5614640200784

x13 = -49.7119080985396

x14 = 129.358873156079

x15 = 42.9650751823593

x16 = 20.9739266072307

x17 = 9.97835231966642

x18 = 24.1155192608205

x19 = -125.110131784695

x20 = 5.26596333928174

x21 = -81.1278346344376

x22 = -93.6942052487967

x23 = -74.844649327258

x24 = -161.238447300977

x25 = 31.969500894795

x26 = 97.9429466201806

x27 = -21.4375742162315

x28 = -35.5747411573856

x29 = -57.5658897325141

x30 = 64.9562237574878

x31 = 60.2438347771031

x32 = 49.2482604895388

x33 = -71.7030566736682

x34 = 96.3721502933857

x35 = 27.2571119144103

x36 = 38.2526862019746

x37 = 75.9517980450521

x38 = -77.9862419808478

x39 = -84.2694272880274

x40 = -23.0083705430264

x41 = 53.9606494699235

x42 = -41.8579264645652

x43 = -52.8535007521294

x44 = 46.106667835949

x45 = -16.7251852358468

x46 = 14.6907413000511

x47 = -79.5570383076427

x48 = 68.0978164110776

x49 = 90.0889649862062

x50 = 85.3765760058215

x51 = 33.5402972215899

x52 = -85.8402236148223

x53 = -99.9773905559763

x54 = 16.261537626846

x55 = -24.5791668698213

x56 = -34.0039448305907

x57 = -27.7207595234111

x58 = 82.2349833522317

x59 = -63.8490750396937

x60 = 8.40755599287153

x61 = 99.5137429469755

x62 = 3.69516701248684

x63 = -4.15881462148764

x64 = -1.01722196789785

x65 = 71.2394090646674

x66 = -48.1411117717447

x67 = 35.1110935483848

x68 = 72.8102053914623

x69 = -12.0127962554621

x70 = -55.9950934057192

x71 = -66.9906676932835

x72 = 74.3810017182572

x73 = -5.72961094828254

x74 = -19.8667778894366

x75 = -90.552612595207

x76 = 86.9473723326164

x77 = -88.9818162684121

x78 = -59.136686059309

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