tg(8*x)= 1 (уравнение)

Найду корень уравнения: tg(8*x)= 1

Вы ввели

tan(8*x) = 1

$$\tan{\left(8 x \right)} = 1$$

Подробное решение

Дано уравнение
$$\tan{\left(8 x \right)} = 1$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$8 x = \pi n + \operatorname{atan}{\left(1 \right)}$$
Или
$$8 x = \pi n + \frac{\pi}{4}$$
, где n - любое целое число
Разделим обе части полученного ур-ния на
$$8$$
получим ответ:
$$x_{1} = \frac{\pi n}{8} + \frac{\pi}{32}$$

Быстрый ответ

     pi
x1 = --
     32

$$x_{1} = \frac{\pi}{32}$$

Численный ответ

x1 = 48.007462737669

x2 = -469.177227859551

x3 = -77.6562434059227

x4 = 26.0163141625405

x5 = -25.8199646216911

x6 = -43.8841223798324

x7 = 37.0118884501047

x8 = -31.710450847172

x9 = 91.9897598879261

x10 = -33.6739462556656

x11 = -75.6927479974291

x12 = -9.71930227204342

x13 = 71.5694076395925

x14 = -99.6473919810513

x15 = -89.8299149385831

x16 = 94.3459543781185

x17 = 84.1357782539517

x18 = 41.7242774304894

x19 = -83.1540305497048

x20 = -41.1352288079414

x21 = 8.34485548609789

x22 = -35.6374416641592

x23 = -63.5190764647686

x24 = -13.6462930890307

x25 = 60.1811342703295

x26 = 58.2176388618359

x27 = -23.8564692131975

x28 = -53.7015994223005

x29 = 80.2087874369644

x30 = 62.1446296788231

x31 = 30.3360040612264

x32 = -87.8664195300895

x33 = -1.07992247467149

x34 = 63.715426005618

x35 = -71.7657571804418

x36 = 14.2353417115787

x37 = 95.5240516232146

x38 = 86.8846718258427

x39 = 54.2906480448486

x40 = 50.3636572278614

x41 = 18.162332528566

x42 = -49.7746086053133

x43 = -51.7381040138069

x44 = -16.002487579223

x45 = -45.847617788326

x46 = 76.2817966199772

x47 = 4.81056375080937

x48 = 19.7331288553609

x49 = -5.79231145505618

x50 = -3.82881604656256

x51 = -55.6650948307941

x52 = 85.7065745807465

x53 = -69.8022617719482

x54 = -1.86532063806894

x55 = 12.2718463030851

x56 = 10.3083508945915

x57 = -79.6197388144163

x58 = 78.2452920284708

x59 = -14.4316912524281

x60 = 69.9986113127976

x61 = 32.2994994697201

x62 = 6.38136007760427

x63 = 98.2729451951057

x64 = 40.1534811036945

x65 = 44.0804719206818

x66 = 36.2264902867073

x67 = -27.7834600301847

x68 = -59.9847847294801

x69 = -73.7292525889355

x70 = 28.3725086527328

x71 = 100.236440603599

x72 = -95.720401164064

x73 = 38.1899856952009

x74 = -18.7513811511141

x75 = 96.3094497866121

x76 = 41.3315783487907

x77 = -67.8387663634546

x78 = -11.682797680537

x79 = -7.7558068635498

x80 = -57.6285902392878

x81 = 18.9477306919634

x82 = 56.2541434533422

x83 = -87.0810213666921

x84 = -93.7569057555704

x85 = -76.4781461608265

x86 = -97.6838965725576

x87 = -47.8111131968197

x88 = 52.327152636355

x89 = -66.2679700366597

x90 = -91.7934103470768

x91 = -22.6783719681013

x92 = 74.3183012114835

x93 = -29.7469554386784

x94 = -37.9936361543516

x95 = 34.2629948782137

x96 = 16.1988371200724

x97 = 72.3548058029899

x98 = 82.172282845458

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