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 = 64.4026493985908

x2 = -42.4115008234622

x3 = 54.9778714378214

x4 = 70.6858347057703

x5 = 39.2699081698724

x6 = -23.5619449019235

x7 = 76.9690200129499

x8 = 73.8274273593601

x9 = 95.8185759344887

x10 = -83.2522053201295

x11 = 67.5442420521806

x12 = 1.5707963267949

x13 = -45.553093477052

x14 = 98.9601685880785

x15 = 32.9867228626928

x16 = -54.9778714378214

x17 = 89.5353906273091

x18 = -20.4203522483337

x19 = 61.261056745001

x20 = -7.85398163397448

x21 = 86.3937979737193

x22 = -10.9955742875643

x23 = 14.1371669411541

x24 = -80.1106126665397

x25 = -64.4026493985908

x26 = -73.8274273593601

x27 = -26.7035375555132

x28 = -14.1371669411541

x29 = 7.85398163397448

x30 = -92.6769832808989

x31 = 29.845130209103

x32 = -67.5442420521806

x33 = 58.1194640914112

x34 = -48.6946861306418

x35 = -76.9690200129499

x36 = -61.261056745001

x37 = -29.845130209103

x38 = 17.2787595947439

x39 = 48.6946861306418

x40 = 45.553093477052

x41 = 42.4115008234622

x42 = 80.1106126665397

x43 = 83.2522053201295

x44 = 10.9955742875643

x45 = -89.5353906273091

x46 = -58.1194640914112

x47 = -39.2699081698724

x48 = -86.3937979737193

x49 = 23.5619449019235

x50 = -17.2787595947439

x51 = 36.1283155162826

x52 = 92.6769832808989

x53 = -95.8185759344887

x54 = -70.6858347057703

x55 = 4.71238898038469

x56 = 51.8362787842316

x57 = -98.9601685880785

x58 = -32.9867228626928

x59 = 20.4203522483337

x60 = -4.71238898038469

x61 = -36.1283155162826

x62 = 26.7035375555132

x63 = -51.8362787842316

x64 = -1.5707963267949

График