cot(x)=-2 (уравнение)

Найду корень уравнения: cot(x)=-2

Вы ввели

cot(x) = -2

$$\cot{\left(x \right)} = -2$$

Подробное решение

Дано уравнение
$$\cot{\left(x \right)} = -2$$
преобразуем
$$\cot{\left(x \right)} + 2 = 0$$
$$\cot{\left(x \right)} + 2 = 0$$
Сделаем замену
$$w = \cot{\left(x \right)}$$
Переносим свободные слагаемые (без w)
из левой части в правую, получим:
$$w = -2$$
Получим ответ: w = -2
делаем обратную замену
$$\cot{\left(x \right)} = w$$
подставляем w:

Быстрый ответ

x1 = -acot(2)

$$x_{1} = - \operatorname{acot}{\left(2 \right)}$$

Сумма и произведение корней

сумма

-acot(2)

$$- \operatorname{acot}{\left(2 \right)}$$

=

-acot(2)

$$- \operatorname{acot}{\left(2 \right)}$$

произведение

-acot(2)

$$- \operatorname{acot}{\left(2 \right)}$$

=

-acot(2)

$$- \operatorname{acot}{\left(2 \right)}$$

Численный ответ

x1 = 24.6690936197175

x2 = 93.784131998693

x3 = -19.3132035305396

x4 = -50.7291300664375

x5 = 68.6513907699746

x6 = 18.385908312538

x7 = -3.6052402625906

x8 = 27.8106862733073

x9 = 74.9345760771542

x10 = -85.2866492559252

x11 = 62.3682054627951

x12 = 2.67794504458899

x13 = -82.1450566023354

x14 = -25.5963888377192

x15 = -6.74683291618039

x16 = 30.9522789268971

x17 = -31.8795741448987

x18 = -236.083096628235

x19 = -94.7114272166946

x20 = 90.6425393451032

x21 = 84.3593540379236

x22 = 12.1027230053584

x23 = 49.8018348484359

x24 = 21.5275009661277

x25 = 970.288482350245

x26 = 34.0938715804869

x27 = 96.9257246522828

x28 = -97.8530198702844

x29 = -47.5875374128477

x30 = -91.5698345631048

x31 = 8.96113035176857

x32 = -41.3043521056681

x33 = 71.7929834235644

x34 = -9.88842556977019

x35 = -69.5786859879763

x36 = -79.0034639487456

x37 = -57.0123153736171

x38 = 40.3770568876665

x39 = 5.81953769817878

x40 = -35.0211667984885

x41 = -28.7379814913089

x42 = -107.277797831054

x43 = -88.428241909515

x44 = -16.1716108769498

x45 = 100.067317305873

x46 = 78.076168730744

x47 = -60.1539080272069

x48 = 56.0850201556155

x49 = -13.03001822336

x50 = -63.2955006807967

x51 = 46.6602421948461

x52 = -53.8707227200273

x53 = -349.180432157468

x54 = 52.9434275020257

x55 = -38.1627594520783

x56 = -75.8618712951559

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