ctan(x) (уравнение)

Найду корень уравнения: ctan(x)

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
--
2 

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

=

pi
--
2 

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

произведение

pi
--
2 

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

=

pi
--
2 

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

Численный ответ

x1 = 14.1371669411541

x2 = 20.4203522483337

x3 = 89.5353906273091

x4 = 98.9601685880785

x5 = 80.1106126665397

x6 = 39.2699081698724

x7 = 26.7035375555132

x8 = 64.4026493985908

x9 = 95.8185759344887

x10 = -20.4203522483337

x11 = 32.9867228626928

x12 = -29.845130209103

x13 = -14.1371669411541

x14 = 10.9955742875643

x15 = -32.9867228626928

x16 = -51.8362787842316

x17 = -76.9690200129499

x18 = 51.8362787842316

x19 = -26.7035375555132

x20 = 73.8274273593601

x21 = 48.6946861306418

x22 = 45.553093477052

x23 = 4.71238898038469

x24 = -10.9955742875643

x25 = 42.4115008234622

x26 = -39.2699081698724

x27 = -61.261056745001

x28 = -1.5707963267949

x29 = -48.6946861306418

x30 = -95.8185759344887

x31 = -83.2522053201295

x32 = 36.1283155162826

x33 = -54.9778714378214

x34 = 83.2522053201295

x35 = -86.3937979737193

x36 = -92.6769832808989

x37 = -73.8274273593601

x38 = -7.85398163397448

x39 = 67.5442420521806

x40 = -67.5442420521806

x41 = -17.2787595947439

x42 = 54.9778714378214

x43 = 1.5707963267949

x44 = 61.261056745001

x45 = -64.4026493985908

x46 = -4.71238898038469

x47 = -58.1194640914112

x48 = -80.1106126665397

x49 = -89.5353906273091

x50 = 58.1194640914112

x51 = -42.4115008234622

x52 = -45.553093477052

x53 = 7.85398163397448

x54 = 29.845130209103

x55 = 86.3937979737193

x56 = -70.6858347057703

x57 = 70.6858347057703

x58 = 23.5619449019235

x59 = 76.9690200129499

x60 = -23.5619449019235

x61 = -36.1283155162826

x62 = 92.6769832808989

x63 = 17.2787595947439

x64 = -98.9601685880785

График