tan(2x)=0 (уравнение)

Найду корень уравнения: tan(2x)=0

Вы ввели

tan(2*x) = 0

$$\tan{\left(2 x \right)} = 0$$

Подробное решение

Дано уравнение
$$\tan{\left(2 x \right)} = 0$$
- это простейшее тригонометрическое ур-ние

с изменением знака при 0

Получим:
$$\tan{\left(2 x \right)} = 0$$
Это ур-ние преобразуется в
$$2 x = \pi n + \operatorname{atan}{\left(0 \right)}$$
Или
$$2 x = \pi n$$
, где n - любое целое число
Разделим обе части полученного ур-ния на
$$2$$
получим ответ:
$$x_{1} = \frac{\pi n}{2}$$

Быстрый ответ

x1 = 0

$$x_{1} = 0$$

Сумма и произведение корней

сумма

0

$$0$$

=

0

$$0$$

произведение

0

$$0$$

=

0

$$0$$

Численный ответ

x1 = 9.42477796076938

x2 = -53.4070751110265

x3 = -43.9822971502571

x4 = -12.5663706143592

x5 = 72.2566310325652

x6 = -20.4203522483337

x7 = -29.845130209103

x8 = 18.8495559215388

x9 = 51.8362787842316

x10 = -95.8185759344887

x11 = -83.2522053201295

x12 = -15.707963267949

x13 = -67.5442420521806

x14 = -42.4115008234622

x15 = 21.9911485751286

x16 = 29.845130209103

x17 = 23.5619449019235

x18 = 15.707963267949

x19 = 50.2654824574367

x20 = 89.5353906273091

x21 = 26.7035375555132

x22 = -50.2654824574367

x23 = -65.9734457253857

x24 = 95.8185759344887

x25 = 31.4159265358979

x26 = -34.5575191894877

x27 = 0.0

x28 = 48.6946861306418

x29 = 4.71238898038469

x30 = 65.9734457253857

x31 = -31.4159265358979

x32 = 42.4115008234622

x33 = -39.2699081698724

x34 = -1.5707963267949

x35 = 81.6814089933346

x36 = -59.6902604182061

x37 = -91.106186954104

x38 = -6.28318530717959

x39 = -9.42477796076938

x40 = -73.8274273593601

x41 = -97.3893722612836

x42 = -17.2787595947439

x43 = -28.2743338823081

x44 = -64.4026493985908

x45 = 62.8318530717959

x46 = -89.5353906273091

x47 = 86.3937979737193

x48 = -21.9911485751286

x49 = 97.3893722612836

x50 = -56.5486677646163

x51 = 20.4203522483337

x52 = 6.28318530717959

x53 = 84.8230016469244

x54 = 64.4026493985908

x55 = -14.1371669411541

x56 = -94.2477796076938

x57 = -51.8362787842316

x58 = -81.6814089933346

x59 = -69.1150383789755

x60 = 87.9645943005142

x61 = -75.398223686155

x62 = -3.14159265358979

x63 = 37.6991118430775

x64 = -86.3937979737193

x65 = 78.5398163397448

x66 = 34.5575191894877

x67 = -72.2566310325652

x68 = 43.9822971502571

x69 = -80.1106126665397

x70 = 7.85398163397448

x71 = -25.1327412287183

x72 = 53.4070751110265

x73 = -47.1238898038469

x74 = 100.530964914873

x75 = -23.5619449019235

x76 = 92.6769832808989

x77 = -37.6991118430775

x78 = 14.1371669411541

x79 = 80.1106126665397

x80 = 56.5486677646163

x81 = -87.9645943005142

x82 = 73.8274273593601

x83 = 45.553093477052

x84 = -78.5398163397448

x85 = -61.261056745001

x86 = 36.1283155162826

x87 = -100.530964914873

x88 = 75.398223686155

x89 = 12.5663706143592

x90 = -7.85398163397448

x91 = 67.5442420521806

x92 = 28.2743338823081

x93 = 1.5707963267949

x94 = -58.1194640914112

x95 = 58.1194640914112

x96 = -45.553093477052

x97 = 59.6902604182061

x98 = 70.6858347057703

x99 = -36.1283155162826

x100 = 40.8407044966673

x101 = 94.2477796076938

График