tan(x)=3/7 (уравнение)

Найду корень уравнения: tan(x)=3/7

Вы ввели

tan(x) = 3/7

$$\tan{\left(x \right)} = \frac{3}{7}$$

Подробное решение

Дано уравнение
$$\tan{\left(x \right)} = \frac{3}{7}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(\frac{3}{7} \right)}$$
Или
$$x = \pi n + \operatorname{atan}{\left(\frac{3}{7} \right)}$$
, где n - любое целое число

Быстрый ответ

x1 = atan(3/7)

$$x_{1} = \operatorname{atan}{\left(\frac{3}{7} \right)}$$

Сумма и произведение корней

сумма

0 + atan(3/7)

$$0 + \operatorname{atan}{\left(\frac{3}{7} \right)}$$

=

atan(3/7)

$$\operatorname{atan}{\left(\frac{3}{7} \right)}$$

произведение

1*atan(3/7)

$$1 \operatorname{atan}{\left(\frac{3}{7} \right)}$$

=

atan(3/7)

$$\operatorname{atan}{\left(\frac{3}{7} \right)}$$

Численный ответ

x1 = -46.7189980175618

x2 = 60.0951522044912

x3 = -31.0110347496129

x4 = -27.8694420960231

x5 = -24.7278494424333

x6 = -21.5862567888435

x7 = 16.112855054234

x8 = 50.6703742437218

x9 = -37.2942200567924

x10 = -96.9844804749985

x11 = 100.935856701158

x12 = 9.82966974705446

x13 = 44.3871889365422

x14 = -5.8782935208945

x15 = 63.2367448580809

x16 = 94.6526713939789

x17 = -78.1349245534598

x18 = -56.1437759783312

x19 = 75.8031154724401

x20 = -62.4269612855108

x21 = -15.3030714816639

x22 = 22.3960403614136

x23 = 34.9624109757728

x24 = -84.4181098606393

x25 = 41.2455962829524

x26 = 28.6792256685932

x27 = 91.5110787403891

x28 = -87.5597025142291

x29 = -40.4358127103822

x30 = 3.54648443987488

x31 = 82.0863007796197

x32 = -93.8428878214087

x33 = 88.3694860867993

x34 = 38.1040036293626

x35 = -65.5685539391006

x36 = 66.3783375116707

x37 = 56.9535595509014

x38 = 47.528781590132

x39 = 12.9712624006443

x40 = 19.2544477078238

x41 = -90.7012951678189

x42 = -71.8517392462802

x43 = -49.8605906711516

x44 = -12.1614788280741

x45 = -18.4446641352537

x46 = -43.577405363972

x47 = 69.5199301652605

x48 = -9.0198861744843

x49 = 25.5376330150034

x50 = -2.73670086730471

x51 = 72.6615228188503

x52 = -81.2765172070495

x53 = -59.285368631921

x54 = 6.68807709346467

x55 = -34.1526274032026

x56 = -100.126073128588

x57 = 78.9447081260299

x58 = 53.8119668973116

x59 = -74.99333189987

x60 = -53.0021833247414

x61 = 31.820818322183

x62 = -68.7101465926904

x63 = 97.7942640475687

x64 = 85.2278934332095

x65 = 0.404891786285083

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