tg4x=0 (уравнение)

Найду корень уравнения: tg4x=0

Вы ввели

tan(4*x) = 0

$$\tan{\left(4 x \right)} = 0$$

Подробное решение

Дано уравнение
$$\tan{\left(4 x \right)} = 0$$
- это простейшее тригонометрическое ур-ние

с изменением знака при 0

Получим:
$$\tan{\left(4 x \right)} = 0$$
Это ур-ние преобразуется в
$$4 x = \pi n + \operatorname{atan}{\left(0 \right)}$$
Или
$$4 x = \pi n$$
, где n - любое целое число
Разделим обе части полученного ур-ния на
$$4$$
получим ответ:
$$x_{1} = \frac{\pi n}{4}$$

Быстрый ответ

x1 = 0

$$x_{1} = 0$$

Сумма и произведение корней

сумма

0 + 0

$$0 + 0$$

=

0

$$0$$

произведение

1*0

$$1 \cdot 0$$

=

0

$$0$$

Численный ответ

x1 = 64.4026493985908

x2 = 73.8274273593601

x3 = 68.329640215578

x4 = -41.6261026600648

x5 = 3.92699081698724

x6 = 16.4933614313464

x7 = 11.7809724509617

x8 = -40.0553063332699

x9 = 80.1106126665397

x10 = -89.5353906273091

x11 = -59.6902604182061

x12 = 87.9645943005142

x13 = 10.2101761241668

x14 = -58.1194640914112

x15 = 100.530964914873

x16 = -37.6991118430775

x17 = -5.49778714378214

x18 = 32.2013246992954

x19 = 36.1283155162826

x20 = -27.4889357189107

x21 = 24.3473430653209

x22 = 65.9734457253857

x23 = -62.0464549083984

x24 = -51.8362787842316

x25 = 46.3384916404494

x26 = -1.5707963267949

x27 = -23.5619449019235

x28 = -69.9004365423729

x29 = -55.7632696012188

x30 = 84.037603483527

x31 = 54.1924732744239

x32 = -45.553093477052

x33 = 90.3207887907066

x34 = 60.4756585816035

x35 = -73.8274273593601

x36 = -63.6172512351933

x37 = -14.1371669411541

x38 = 58.1194640914112

x39 = 47.9092879672443

x40 = 98.174770424681

x41 = -47.9092879672443

x42 = -91.8915851175014

x43 = -10.2101761241668

x44 = -54.1924732744239

x45 = 2.35619449019234

x46 = 21.9911485751286

x47 = -33.7721210260903

x48 = 50.2654824574367

x49 = -18.0641577581413

x50 = 51.8362787842316

x51 = 76.1836218495525

x52 = -99.7455667514759

x53 = -77.7544181763474

x54 = -15.707963267949

x55 = -93.4623814442964

x56 = -85.6083998103219

x57 = -3.92699081698724

x58 = -19.6349540849362

x59 = -32.2013246992954

x60 = 91.8915851175014

x61 = -7.85398163397448

x62 = 7.85398163397448

x63 = 69.9004365423729

x64 = -67.5442420521806

x65 = -29.845130209103

x66 = 38.484510006475

x67 = 28.2743338823081

x68 = -98.174770424681

x69 = 43.9822971502571

x70 = -21.9911485751286

x71 = 94.2477796076938

x72 = -87.9645943005142

x73 = 55.7632696012188

x74 = -11.7809724509617

x75 = 62.0464549083984

x76 = 82.4668071567321

x77 = -25.9181393921158

x78 = -71.4712328691678

x79 = 18.0641577581413

x80 = 95.8185759344887

x81 = -65.9734457253857

x82 = 6.28318530717959

x83 = 86.3937979737193

x84 = 78.5398163397448

x85 = 14.1371669411541

x86 = -80.1106126665397

x87 = 0.0

x88 = 29.845130209103

x89 = -76.1836218495525

x90 = 72.2566310325652

x91 = 42.4115008234622

x92 = 25.9181393921158

x93 = -95.8185759344887

x94 = -43.9822971502571

x95 = -84.037603483527

x96 = 33.7721210260903

x97 = 20.4203522483337

x98 = -49.4800842940392

x99 = 40.0553063332699

x100 = -36.1283155162826

x101 = -81.6814089933346

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