ctgx=0 (уравнение)

Найду корень уравнения: ctgx=0

Вы ввели

cot(x) = 0

$$\cot{\left(x \right)} = 0$$

Подробное решение

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

Быстрый ответ

     pi
x1 = --
     2 

$$x_{1} = \frac{\pi}{2}$$

Сумма и произведение корней

сумма

    pi
0 + --
    2 

$$0 + \frac{\pi}{2}$$

=

pi
--
2 

$$\frac{\pi}{2}$$

произведение

  pi
1*--
  2 

$$1 \frac{\pi}{2}$$

=

pi
--
2 

$$\frac{\pi}{2}$$

Численный ответ

x1 = 83.2522053201295

x2 = -45.553093477052

x3 = -80.1106126665397

x4 = -86.3937979737193

x5 = 10.9955742875643

x6 = -32.9867228626928

x7 = 86.3937979737193

x8 = 48.6946861306418

x9 = -1.5707963267949

x10 = 73.8274273593601

x11 = 54.9778714378214

x12 = 23.5619449019235

x13 = 7.85398163397448

x14 = 61.261056745001

x15 = -14.1371669411541

x16 = -95.8185759344887

x17 = -17.2787595947439

x18 = 17.2787595947439

x19 = 80.1106126665397

x20 = 64.4026493985908

x21 = -61.261056745001

x22 = -54.9778714378214

x23 = -89.5353906273091

x24 = 20.4203522483337

x25 = 89.5353906273091

x26 = -10.9955742875643

x27 = 26.7035375555132

x28 = 1.5707963267949

x29 = 29.845130209103

x30 = 45.553093477052

x31 = 36.1283155162826

x32 = -51.8362787842316

x33 = -4.71238898038469

x34 = 4.71238898038469

x35 = -7.85398163397448

x36 = 95.8185759344887

x37 = -73.8274273593601

x38 = -23.5619449019235

x39 = 32.9867228626928

x40 = 51.8362787842316

x41 = -48.6946861306418

x42 = 58.1194640914112

x43 = -70.6858347057703

x44 = -26.7035375555132

x45 = -76.9690200129499

x46 = 39.2699081698724

x47 = -92.6769832808989

x48 = 14.1371669411541

x49 = -64.4026493985908

x50 = -42.4115008234622

x51 = -98.9601685880785

x52 = 76.9690200129499

x53 = 42.4115008234622

x54 = -29.845130209103

x55 = -39.2699081698724

x56 = 98.9601685880785

x57 = -20.4203522483337

x58 = 70.6858347057703

x59 = -36.1283155162826

x60 = 67.5442420521806

x61 = 92.6769832808989

x62 = -58.1194640914112

x63 = -83.2522053201295

x64 = -67.5442420521806

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