tan(x)=1/2 (уравнение)

Найду корень уравнения: tan(x)=1/2

Вы ввели

tan(x) = 1/2

$$\tan{\left(x \right)} = \frac{1}{2}$$

Подробное решение

Дано уравнение
$$\tan{\left(x \right)} = \frac{1}{2}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{2} \right)}$$
Или
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{2} \right)}$$
, где n - любое целое число

Быстрый ответ

x1 = atan(1/2)

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

Сумма и произведение корней

сумма

0 + atan(1/2)

$$0 + \operatorname{atan}{\left(\frac{1}{2} \right)}$$

=

atan(1/2)

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

произведение

1*atan(1/2)

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

=

atan(1/2)

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

Численный ответ

x1 = -56.0850201556155

x2 = -65.5097981163849

x3 = 85.2866492559252

x4 = 57.0123153736171

x5 = 82.1450566023354

x6 = -2.67794504458899

x7 = -68.6513907699746

x8 = -59.2266128092053

x9 = 63.2955006807967

x10 = 97.8530198702844

x11 = -15.2443156589482

x12 = -62.3682054627951

x13 = 94.7114272166946

x14 = -24.6690936197175

x15 = -90.6425393451032

x16 = 91.5698345631048

x17 = -12.1027230053584

x18 = 28.7379814913089

x19 = -40.3770568876665

x20 = -81.2177613843338

x21 = -52.9434275020257

x22 = 41.3043521056681

x23 = -30.9522789268971

x24 = -8.96113035176857

x25 = -5.81953769817878

x26 = 0.463647609000806

x27 = -74.9345760771542

x28 = -100.067317305873

x29 = -78.076168730744

x30 = -71.7929834235644

x31 = -46.6602421948461

x32 = 44.4459447592579

x33 = -96.9257246522828

x34 = -37.2354642340767

x35 = -43.5186495412563

x36 = 31.8795741448987

x37 = 66.4370933343865

x38 = 69.5786859879763

x39 = 6.74683291618039

x40 = 19.3132035305396

x41 = 79.0034639487456

x42 = 60.1539080272069

x43 = 50.7291300664375

x44 = 35.0211667984885

x45 = 22.4547961841294

x46 = 53.8707227200273

x47 = 38.1627594520783

x48 = -49.8018348484359

x49 = 47.5875374128477

x50 = 25.5963888377192

x51 = 9.88842556977019

x52 = -21.5275009661277

x53 = -27.8106862733073

x54 = 72.7202786415661

x55 = -34.0938715804869

x56 = -87.5009466915134

x57 = 88.428241909515

x58 = 100.994612523874

x59 = 75.8618712951559

x60 = -18.385908312538

x61 = 13.03001822336

x62 = -84.3593540379236

x63 = -93.784131998693

x64 = 16.1716108769498

x65 = 3.6052402625906

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