tan(2*x)=0 (уравнение)

Найду корень уравнения: tan(2*x)=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

$$x_{1} = 0$$

Численный ответ

x1 = -75.398223686155

x2 = -95.8185759344887

x3 = 73.8274273593601

x4 = 34.5575191894877

x5 = -94.2477796076938

x6 = 18.8495559215388

x7 = -31.4159265358979

x8 = 26.7035375555132

x9 = 92.6769832808989

x10 = 14.1371669411541

x11 = 64.4026493985908

x12 = -50.2654824574367

x13 = -86.3937979737193

x14 = 50.2654824574367

x15 = -25.1327412287183

x16 = -67.5442420521806

x17 = -34.5575191894877

x18 = -43.9822971502571

x19 = 31.4159265358979

x20 = 1.5707963267949

x21 = 94.2477796076938

x22 = -36.1283155162826

x23 = 40.8407044966673

x24 = 70.6858347057703

x25 = -20.4203522483337

x26 = -91.106186954104

x27 = -28.2743338823081

x28 = -61.261056745001

x29 = 65.9734457253857

x30 = 86.3937979737193

x31 = -21.9911485751286

x32 = -15.707963267949

x33 = -6.28318530717959

x34 = -80.1106126665397

x35 = -69.1150383789755

x36 = -72.2566310325652

x37 = -53.4070751110265

x38 = 84.8230016469244

x39 = -39.2699081698724

x40 = -56.5486677646163

x41 = 36.1283155162826

x42 = 21.9911485751286

x43 = -3.14159265358979

x44 = -42.4115008234622

x45 = -97.3893722612836

x46 = -37.6991118430775

x47 = 48.6946861306418

x48 = -17.2787595947439

x49 = -9.42477796076938

x50 = -81.6814089933346

x51 = -23.5619449019235

x52 = -87.9645943005142

x53 = 72.2566310325652

x54 = 15.707963267949

x55 = 29.845130209103

x56 = 58.1194640914112

x57 = 51.8362787842316

x58 = -51.8362787842316

x59 = -29.845130209103

x60 = 6.28318530717959

x61 = 95.8185759344887

x62 = -45.553093477052

x63 = 75.398223686155

x64 = -89.5353906273091

x65 = -12.5663706143592

x66 = 56.5486677646163

x67 = 80.1106126665397

x68 = -83.2522053201295

x69 = 59.6902604182061

x70 = 45.553093477052

x71 = 78.5398163397448

x72 = -59.6902604182061

x73 = 67.5442420521806

x74 = -73.8274273593601

x75 = 53.4070751110265

x76 = 100.530964914873

x77 = 42.4115008234622

x78 = -1.5707963267949

x79 = 28.2743338823081

x80 = 9.42477796076938

x81 = 43.9822971502571

x82 = 81.6814089933346

x83 = -58.1194640914112

x84 = 37.6991118430775

x85 = 23.5619449019235

x86 = -7.85398163397448

x87 = 89.5353906273091

x88 = -64.4026493985908

x89 = 20.4203522483337

x90 = -14.1371669411541

x91 = 62.8318530717959

x92 = 12.5663706143592

x93 = -100.530964914873

x94 = 0.0

x95 = -65.9734457253857

x96 = -78.5398163397448

x97 = 4.71238898038469

x98 = 97.3893722612836

x99 = -47.1238898038469

x100 = 87.9645943005142

x101 = 7.85398163397448

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