ctg(x)=-1/3 (уравнение)

Найду корень уравнения: ctg(x)=-1/3

Вы ввели

cot(x) = -1/3

$$\cot{\left(x \right)} = - \frac{1}{3}$$

Подробное решение

Дано уравнение
$$\cot{\left(x \right)} = - \frac{1}{3}$$
преобразуем
$$\cot{\left(x \right)} + \frac{1}{3} = 0$$
$$\cot{\left(x \right)} + \frac{1}{3} = 0$$
Сделаем замену
$$w = \cot{\left(x \right)}$$
Переносим свободные слагаемые (без w)
из левой части в правую, получим:
$$w = - \frac{1}{3}$$
Получим ответ: w = -1/3
делаем обратную замену
$$\cot{\left(x \right)} = w$$
подставляем w:

Быстрый ответ

x1 = -acot(1/3)

$$x_{1} = - \operatorname{acot}{\left(\frac{1}{3} \right)}$$

Численный ответ

x1 = -4.39063842598805

x2 = -7.53223107957784

x3 = 55.299621992218

x4 = 23.8836954563201

x5 = 64.7243999529874

x6 = -79.7888621121431

x7 = -73.5056768049635

x8 = 83.5739558745262

x9 = -29.5233796547064

x10 = 39.5916587242691

x11 = 67.8659926065772

x12 = 27.0252881099099

x13 = -35.806564961886

x14 = -64.0808988441941

x15 = -42.0897502690656

x16 = -20.098601693937

x17 = -76.6472694585533

x18 = -86.0720474193227

x19 = -38.9481576154758

x20 = 77.2907705673466

x21 = 92.9987338352955

x22 = 89.8571411817058

x23 = -51.5145282298349

x24 = -95.496825380092

x25 = -23.2401943475268

x26 = 58.4412146458078

x27 = 20.7421028027303

x28 = -89.2136400729125

x29 = -92.3552327265023

x30 = -67.2224914977839

x31 = 5.03413953478133

x32 = -70.3640841513737

x33 = 96.1403264888853

x34 = -57.7977135370145

x35 = 71.007585260167

x36 = -1.24904577239825

x37 = -54.6561208834247

x38 = -16.9570090403472

x39 = 45.8748440314486

x40 = 49.0164366850384

x41 = 17.6005101491405

x42 = -48.3729355762452

x43 = 36.4500660706793

x44 = 86.715548528116

x45 = 33.3084734170895

x46 = 14.4589174955507

x47 = 42.7332513778588

x48 = -13.8154163867574

x49 = 30.1668807634997

x50 = -32.6649723082962

x51 = -60.9393061906043

x52 = -82.9304547657329

x53 = -45.2313429226554

x54 = 80.4323632209364

x55 = 11.3173248419609

x56 = 8.17573218837112

x57 = 61.5828072993976

x58 = -10.6738237331676

x59 = 99.2819191424751

x60 = -98.6384180336818

x61 = 1.89254688119154

x62 = 52.1580293386282

x63 = -26.3817870011166

x64 = 74.1491779137568

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