tan(x)=2/3 (уравнение)

Найду корень уравнения: tan(x)=2/3

Вы ввели

tan(x) = 2/3

$$\tan{\left(x \right)} = \frac{2}{3}$$

Подробное решение

Дано уравнение
$$\tan{\left(x \right)} = \frac{2}{3}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(\frac{2}{3} \right)}$$
Или
$$x = \pi n + \operatorname{atan}{\left(\frac{2}{3} \right)}$$
, где n - любое целое число

Быстрый ответ

x1 = atan(2/3)

$$x_{1} = \operatorname{atan}{\left(\frac{2}{3} \right)}$$

Сумма и произведение корней

сумма

0 + atan(2/3)

$$0 + \operatorname{atan}{\left(\frac{2}{3} \right)}$$

=

atan(2/3)

$$\operatorname{atan}{\left(\frac{2}{3} \right)}$$

произведение

1*atan(2/3)

$$1 \operatorname{atan}{\left(\frac{2}{3} \right)}$$

=

atan(2/3)

$$\operatorname{atan}{\left(\frac{2}{3} \right)}$$

Численный ответ

x1 = 0.588002603547568

x2 = -43.3942945467095

x3 = -71.6686284290177

x4 = 50.8534850609843

x5 = 82.2694115968822

x6 = 85.411004250472

x7 = -55.9606651610687

x8 = -84.2349990433768

x9 = 22.5791511786761

x10 = 57.1366703681638

x11 = 35.1455217930353

x12 = 19.4375585250863

x13 = 72.8446336361128

x14 = -59.1022578146585

x15 = -27.6863312787606

x16 = -81.0934063897871

x17 = -68.5270357754279

x18 = 69.703040982523

x19 = 10.0127805643169

x20 = 94.8357822112414

x21 = 88.5525969040618

x22 = 44.5702997538047

x23 = 60.2782630217536

x24 = -65.3854431218381

x25 = -40.2527018931197

x26 = 38.2871144466251

x27 = 13.1543732179067

x28 = 6.87118791072715

x29 = -46.5358872002993

x30 = -15.1199606644014

x31 = 28.8623364858557

x32 = 63.4198556753434

x33 = 75.9862262897026

x34 = -33.9695165859402

x35 = -30.8279239323504

x36 = 47.7118924073945

x37 = -62.2438504682483

x38 = -74.8102210826075

x39 = 53.9950777145741

x40 = 25.7207438322659

x41 = 91.6941895576516

x42 = -37.11110923953

x43 = -90.5181843505564

x44 = -18.2615533179912

x45 = -52.8190725074789

x46 = -21.403145971581

x47 = -8.83677535722181

x48 = 97.9773748648312

x49 = -93.6597770041462

x50 = 79.1278189432924

x51 = -99.9429623113258

x52 = -96.801369657736

x53 = -11.9783680108116

x54 = 16.2959658714965

x55 = 41.4287071002149

x56 = 3.72959525713736

x57 = 32.0039291394455

x58 = -2.55359005004223

x59 = -24.5447386251708

x60 = -49.6774798538891

x61 = 66.5614483289332

x62 = 101.118967518421

x63 = -77.9518137361973

x64 = -87.3765916969666

x65 = -5.69518270363202

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