cot(x)=1/7 (уравнение)

Найду корень уравнения: cot(x)=1/7

Вы ввели

cot(x) = 1/7

$$\cot{\left(x \right)} = \frac{1}{7}$$

Подробное решение

Дано уравнение
$$\cot{\left(x \right)} = \frac{1}{7}$$
преобразуем
$$\cot{\left(x \right)} - \frac{1}{7} = 0$$
$$\cot{\left(x \right)} - \frac{1}{7} = 0$$
Сделаем замену
$$w = \cot{\left(x \right)}$$
Переносим свободные слагаемые (без w)
из левой части в правую, получим:
$$w = \frac{1}{7}$$
Получим ответ: w = 1/7
делаем обратную замену
$$\cot{\left(x \right)} = w$$
подставляем w:

Быстрый ответ

x1 = acot(1/7)

$$x_{1} = \operatorname{acot}{\left(\frac{1}{7} \right)}$$

Сумма и произведение корней

сумма

acot(1/7)

$$\operatorname{acot}{\left(\frac{1}{7} \right)}$$

=

acot(1/7)

$$\operatorname{acot}{\left(\frac{1}{7} \right)}$$

произведение

acot(1/7)

$$\operatorname{acot}{\left(\frac{1}{7} \right)}$$

=

acot(1/7)

$$\operatorname{acot}{\left(\frac{1}{7} \right)}$$

Численный ответ

x1 = 51.6943817296274

x2 = -86.5356950283235

x3 = -48.836583185246

x4 = 23.4200478473193

x5 = -26.8454346101174

x6 = 86.2519009191151

x7 = 92.5350862262947

x8 = 10.8536772329601

x9 = -89.6772876819133

x10 = -14.2790639957582

x11 = 70.5439376511662

x12 = 79.9687156119356

x13 = 64.2607523439866

x14 = 29.7032331544989

x15 = -17.420656649348

x16 = -70.8277317603745

x17 = -33.128619917297

x18 = -99.1020656426826

x19 = -11.1374713421684

x20 = 26.5616405009091

x21 = -64.5445464531949

x22 = -4.85428603498885

x23 = 73.685530304756

x24 = -58.2613611460153

x25 = -67.6861391067847

x26 = -80.2525097211439

x27 = 32.8448258080887

x28 = 7.71208457937032

x29 = 67.4023449975764

x30 = -45.6949905316562

x31 = 17.1368625401397

x32 = -39.4118052244766

x33 = -36.2702125708868

x34 = 48.5527890760376

x35 = -95.9604729890929

x36 = -77.1109170675541

x37 = 1.42889927219073

x38 = 54.8359743832172

x39 = 20.2784551937295

x40 = -61.4029537996051

x41 = 45.4111964224478

x42 = -51.9781758388358

x43 = -7.99587868857865

x44 = -29.9870272637072

x45 = -42.5533978780664

x46 = 61.1191596903968

x47 = -83.3941023747337

x48 = 39.1280111152683

x49 = -55.1197684924255

x50 = 57.977567036807

x51 = 98.8182715334743

x52 = -20.5622493029378

x53 = 76.8271229583458

x54 = 42.269603768858

x55 = 95.6766788798845

x56 = 89.3934935727049

x57 = -92.8188803355031

x58 = -73.9693244139643

x59 = 4.57049192578053

x60 = 35.9864184616785

x61 = -23.7038419565276

x62 = 83.1103082655254

x63 = 13.9952698865499

x64 = -1.71269338139906

График