tgx=0.1 (уравнение)

Найду корень уравнения: tgx=0.1

Вы ввели

tan(x) = 1/10

$$\tan{\left(x \right)} = \frac{1}{10}$$

Подробное решение

Дано уравнение
$$\tan{\left(x \right)} = \frac{1}{10}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{10} \right)}$$
Или
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{10} \right)}$$
, где n - любое целое число

Быстрый ответ

x1 = atan(1/10)

$$x_{1} = \operatorname{atan}{\left(\frac{1}{10} \right)}$$

Сумма и произведение корней

сумма

0 + atan(1/10)

$$0 + \operatorname{atan}{\left(\frac{1}{10} \right)}$$

=

atan(1/10)

$$\operatorname{atan}{\left(\frac{1}{10} \right)}$$

произведение

1*atan(1/10)

$$1 \operatorname{atan}{\left(\frac{1}{10} \right)}$$

=

atan(1/10)

$$\operatorname{atan}{\left(\frac{1}{10} \right)}$$

Численный ответ

x1 = -97.2897036087924

x2 = -15.6082946154578

x3 = -31.3162578834068

x4 = 12.6660392668503

x5 = 3.24126130608096

x6 = 75.4978923386462

x7 = -47.0242211513557

x8 = -59.5905917657149

x9 = 40.9403731491585

x10 = 94.347448260185

x11 = 18.9492245740299

x12 = -12.466701961868

x13 = 62.931521724287

x14 = -75.2985550336639

x15 = -37.5994431905864

x16 = 69.2147070314666

x17 = -87.864925648023

x18 = -21.8914799226374

x19 = 22.0908172276197

x20 = -28.174665229817

x21 = 81.7810776458258

x22 = 47.2235584563381

x23 = 34.6571878419789

x24 = -18.7498872690476

x25 = 97.4890409137748

x26 = 66.0731143778768

x27 = 88.0642629530054

x28 = -78.4401476872537

x29 = -25.0330725762272

x30 = -34.4578505369966

x31 = -94.1481109552026

x32 = -69.0153697264843

x33 = 84.9226702994156

x34 = -100.431296262382

x35 = 9.52444661326054

x36 = 0.099668652491162

x37 = 25.2324098812095

x38 = -84.7233329944332

x39 = -50.1658138049455

x40 = 6.38285395967075

x41 = -53.3074064585353

x42 = 50.3651511099279

x43 = -81.5817403408435

x44 = 59.7899290706972

x45 = -3.04192400109863

x46 = 100.630633567365

x47 = 56.6483364171074

x48 = -9.32510930827822

x49 = 44.0819658027483

x50 = 37.7987804955687

x51 = -6.18351665468842

x52 = 28.3740025347993

x53 = 91.2058556065952

x54 = 72.3562996850564

x55 = 15.8076319204401

x56 = -56.4489991121251

x57 = 53.5067437635176

x58 = -40.7410358441762

x59 = 78.639484992236

x60 = -91.0065183016128

x61 = -65.8737770728945

x62 = 31.5155951883891

x63 = -72.1569623800741

x64 = -43.8826284977659

x65 = -62.7321844193047

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