tg8x=2 (уравнение)

Найду корень уравнения: tg8x=2

Вы ввели

tan(8*x) = 2

$$\tan{\left(8 x \right)} = 2$$

Подробное решение

Дано уравнение
$$\tan{\left(8 x \right)} = 2$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$8 x = \pi n + \operatorname{atan}{\left(2 \right)}$$
Или
$$8 x = \pi n + \operatorname{atan}{\left(2 \right)}$$
, где n - любое целое число
Разделим обе части полученного ур-ния на
$$8$$
получим ответ:
$$x_{1} = \frac{\pi n}{8} + \frac{\operatorname{atan}{\left(2 \right)}}{8}$$

Быстрый ответ

     atan(2)
x1 = -------
        8   

$$x_{1} = \frac{\operatorname{atan}{\left(2 \right)}}{8}$$

Численный ответ

x1 = 58.2578576811354

x2 = 76.3220154392768

x3 = -47.7708943775201

x4 = -20.2819586586094

x5 = -95.6801823447644

x6 = 60.2213530896291

x7 = 9.17047246879492

x8 = -84.2919089755014

x9 = -62.3007604003729

x10 = -81.5430154036104

x11 = 72.0023255405908

x12 = 14.2755605308783

x13 = -85.8627053022963

x14 = -69.7620429526486

x15 = 42.9425934948852

x16 = -23.8162503938979

x17 = -53.6613806030009

x18 = -55.6248760114946

x19 = -99.9998722434504

x20 = 30.376222880526

x21 = -12.4279770246349

x22 = -22.245454067103

x23 = 34.3032136975133

x24 = -13.9987733514298

x25 = 16.239055939372

x26 = -98.4290759166555

x27 = 64.1483439066163

x28 = -11.2498797795387

x29 = -64.2642558088665

x30 = 66.8972374785074

x31 = 35.4813109426094

x32 = 83.7832979915525

x33 = -31.6702320278724

x34 = -49.7343897860137

x35 = -42.2731072337379

x36 = -78.0087236683218

x37 = -88.2188997924887

x38 = -91.7531915277772

x39 = -7.71558804425022

x40 = 86.1394924817449

x41 = 21.7368430831541

x42 = 3.67268532501278

x43 = 65.7191402334112

x44 = 38.2302045145005

x45 = 94.3861731974181

x46 = -5.7520926357566

x47 = -93.7166869362708

x48 = -29.7067366193788

x49 = -27.7432412108852

x50 = 78.2855108477704

x51 = -51.6978851945073

x52 = -45.8073989690265

x53 = -17.9257641684171

x54 = 4.45808348841023

x55 = 84.1759970732512

x56 = 23.7003384916477

x57 = 72.7877237039882

x58 = 9.56317155049364

x59 = 56.2943622726418

x60 = 144.651655654855

x61 = 95.956969524213

x62 = 100.276659422899

x63 = 1.70918991651916

x64 = 98.3131640144053

x65 = -71.7255383611423

x66 = -73.6890337696359

x67 = 52.3673714556546

x68 = 46.084186148475

x69 = 43.7279916582826

x70 = 20.1660467563592

x71 = 80.249006256264

x72 = 39.4083017595967

x73 = -25.7797458023915

x74 = 17.8098522661668

x75 = -34.8118246814622

x76 = 36.2667091060069

x77 = -9.67908345274384

x78 = -75.6525291781295

x79 = -87.8262007107899

x80 = -59.1591677467831

x81 = 12.3120651223847

x82 = -17.1403660050196

x83 = 62.1848484981227

x84 = 87.7102888085397

График