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 = -58.1194640914112

x2 = 36.1283155162826

x3 = -64.4026493985908

x4 = -89.5353906273091

x5 = -76.9690200129499

x6 = 51.8362787842316

x7 = 67.5442420521806

x8 = -10.9955742875643

x9 = -86.3937979737193

x10 = 32.9867228626928

x11 = 89.5353906273091

x12 = 64.4026493985908

x13 = 17.2787595947439

x14 = 70.6858347057703

x15 = -4.71238898038469

x16 = 23.5619449019235

x17 = 76.9690200129499

x18 = -61.261056745001

x19 = 86.3937979737193

x20 = 48.6946861306418

x21 = 73.8274273593601

x22 = 29.845130209103

x23 = -70.6858347057703

x24 = -7.85398163397448

x25 = -14.1371669411541

x26 = -73.8274273593601

x27 = -32.9867228626928

x28 = 1.5707963267949

x29 = -98.9601685880785

x30 = -42.4115008234622

x31 = -17.2787595947439

x32 = 4.71238898038469

x33 = 26.7035375555132

x34 = 83.2522053201295

x35 = 92.6769832808989

x36 = -51.8362787842316

x37 = 54.9778714378214

x38 = -20.4203522483337

x39 = 61.261056745001

x40 = 80.1106126665397

x41 = -92.6769832808989

x42 = -83.2522053201295

x43 = 98.9601685880785

x44 = 7.85398163397448

x45 = 42.4115008234622

x46 = -95.8185759344887

x47 = -1.5707963267949

x48 = -29.845130209103

x49 = -39.2699081698724

x50 = -23.5619449019235

x51 = 20.4203522483337

x52 = -54.9778714378214

x53 = 58.1194640914112

x54 = -48.6946861306418

x55 = -36.1283155162826

x56 = 95.8185759344887

x57 = 10.9955742875643

x58 = 39.2699081698724

x59 = -80.1106126665397

x60 = 45.553093477052

x61 = -26.7035375555132

x62 = -45.553093477052

x63 = 14.1371669411541

x64 = -67.5442420521806

График