cot(x)=-(4/5) (уравнение)

Найду корень уравнения: cot(x)=-(4/5)

Вы ввели

cot(x) = -4/5

$$\cot{\left(x \right)} = - \frac{4}{5}$$

Подробное решение

Дано уравнение
$$\cot{\left(x \right)} = - \frac{4}{5}$$
преобразуем
$$\cot{\left(x \right)} + \frac{4}{5} = 0$$
$$\cot{\left(x \right)} + \frac{4}{5} = 0$$
Сделаем замену
$$w = \cot{\left(x \right)}$$
Переносим свободные слагаемые (без w)
из левой части в правую, получим:
$$w = - \frac{4}{5}$$
Получим ответ: w = -4/5
делаем обратную замену
$$\cot{\left(x \right)} = w$$
подставляем w:

Быстрый ответ

x1 = -acot(4/5)

$$x_{1} = - \operatorname{acot}{\left(\frac{4}{5} \right)}$$

Сумма и произведение корней

сумма

-acot(4/5)

$$- \operatorname{acot}{\left(\frac{4}{5} \right)}$$

=

-acot(4/5)

$$- \operatorname{acot}{\left(\frac{4}{5} \right)}$$

произведение

-acot(4/5)

$$- \operatorname{acot}{\left(\frac{4}{5} \right)}$$

=

-acot(4/5)

$$- \operatorname{acot}{\left(\frac{4}{5} \right)}$$

Численный ответ

x1 = 93.3517242231225

x2 = 49.3694270728653

x3 = -19.7456113061101

x4 = -88.8606496850855

x5 = -57.4447231491876

x6 = 14.8119078833776

x7 = -48.0199451884182

x8 = -32.3119819204693

x9 = -35.4535745740591

x10 = -85.7190570314958

x11 = 77.6437609551735

x12 = 33.6614638049164

x13 = 58.7942050336347

x14 = 21.0950931905572

x15 = 96.4933168767122

x16 = -92.0022423386753

x17 = -22.8872039596999

x18 = -70.0110937635468

x19 = -16.6040186525203

x20 = -29.1703892668795

x21 = 17.9535005369674

x22 = 68.2189829944041

x23 = 61.9357976872245

x24 = -95.1438349922651

x25 = -0.896055384571344

x26 = 27.3782784977368

x27 = -76.2942790707264

x28 = -10.3208333453407

x29 = -66.869501109957

x30 = -54.3031304955978

x31 = -98.2854276458549

x32 = 11.6703152297878

x33 = 71.3605756479939

x34 = -7.17924069175093

x35 = 74.5021683015837

x36 = 83.9269462623531

x37 = -60.5863158027774

x38 = 24.236685844147

x39 = -51.161537842008

x40 = 55.6526123800449

x41 = -63.7279084563672

x42 = 80.7853536087633

x43 = 65.0773903408143

x44 = 39.944649112096

x45 = -44.8783525348285

x46 = 30.5198711513266

x47 = -13.4624259989305

x48 = 90.2101315695327

x49 = 87.0685389159429

x50 = 5.38712992260824

x51 = 8.52872257619804

x52 = 46.2278344192756

x53 = 2.24553726901845

x54 = -38.5951672276489

x55 = -82.577464377906

x56 = 52.5110197264551

x57 = 99.634909530302

x58 = -26.0287966132897

x59 = 36.8030564585062

x60 = 43.0862417656858

x61 = -73.1526864171366

x62 = -79.4358717243162

x63 = -4.03764803816114

x64 = -41.7367598812387

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