ctg(x)=4/3 (уравнение)

Найду корень уравнения: ctg(x)=4/3

Вы ввели

cot(x) = 4/3

$$\cot{\left(x \right)} = \frac{4}{3}$$

Подробное решение

Дано уравнение
$$\cot{\left(x \right)} = \frac{4}{3}$$
преобразуем
$$\cot{\left(x \right)} - \frac{4}{3} = 0$$
$$\cot{\left(x \right)} - \frac{4}{3} = 0$$
Сделаем замену
$$w = \cot{\left(x \right)}$$
Переносим свободные слагаемые (без w)
из левой части в правую, получим:
$$w = \frac{4}{3}$$
Получим ответ: w = 4/3
делаем обратную замену
$$\cot{\left(x \right)} = w$$
подставляем w:

Быстрый ответ

x1 = acot(4/3)

$$x_{1} = \operatorname{acot}{\left(\frac{4}{3} \right)}$$

Сумма и произведение корней

сумма

0 + acot(4/3)

$$0 + \operatorname{acot}{\left(\frac{4}{3} \right)}$$

=

acot(4/3)

$$\operatorname{acot}{\left(\frac{4}{3} \right)}$$

произведение

1*acot(4/3)

$$1 \operatorname{acot}{\left(\frac{4}{3} \right)}$$

=

acot(4/3)

$$\operatorname{acot}{\left(\frac{4}{3} \right)}$$

Численный ответ

x1 = -77.8963152309515

x2 = 19.493057030332

x3 = 72.9001321413585

x4 = -49.6219813486434

x5 = -99.8874638060801

x6 = 82.3249101021279

x7 = 94.8912807164871

x8 = 54.0505762198198

x9 = 44.6257982590504

x10 = 35.201020298281

x11 = 28.9178349911014

x12 = -37.0556107342842

x13 = -27.6308327735149

x14 = -62.1883519630026

x15 = -30.7724254271046

x16 = -21.3476474663353

x17 = 25.7762423375116

x18 = 10.0682790695627

x19 = -52.7635740022332

x20 = 13.2098717231525

x21 = -65.3299446165924

x22 = -18.2060548127455

x23 = 32.0594276446912

x24 = -87.3210931917209

x25 = -93.6042784989005

x26 = 0.643501108793284

x27 = 16.3514643767422

x28 = 85.4665027557177

x29 = 91.7496880628973

x30 = 6.92668641597287

x31 = 79.1833174485381

x32 = -55.905166655823

x33 = -24.4892401199251

x34 = -84.1795005381311

x35 = -90.4626858453107

x36 = -11.9228695055659

x37 = -46.4803886950536

x38 = 98.0328733700769

x39 = -8.7812768519761

x40 = -96.7458711524903

x41 = 69.7585394877687

x42 = -2.49809154479651

x43 = -81.0379078845413

x44 = -59.0467593094128

x45 = 57.1921688734096

x46 = -40.197203387874

x47 = 63.4753541805892

x48 = 47.7673909126402

x49 = 76.0417247949483

x50 = -71.613129923772

x51 = 60.3337615269994

x52 = 38.3426129518708

x53 = -5.6396841983863

x54 = 88.6080954093075

x55 = -68.4715372701822

x56 = -15.0644621591557

x57 = -33.9140180806944

x58 = -43.3387960414638

x59 = 22.6346496839218

x60 = 41.4842056054606

x61 = 66.6169468341789

x62 = 3.78509376238308

x63 = 50.90898356623

x64 = -74.7547225773617

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