tan(4x)=0 (уравнение)

Найду корень уравнения: tan(4x)=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 = 69.9004365423729

x2 = -45.553093477052

x3 = 86.3937979737193

x4 = 50.2654824574367

x5 = 36.1283155162826

x6 = -99.7455667514759

x7 = -7.85398163397448

x8 = 95.8185759344887

x9 = -84.037603483527

x10 = -73.8274273593601

x11 = -23.5619449019235

x12 = -65.9734457253857

x13 = 87.9645943005142

x14 = 60.4756585816035

x15 = 11.7809724509617

x16 = -37.6991118430775

x17 = -21.9911485751286

x18 = -41.6261026600648

x19 = 100.530964914873

x20 = 76.1836218495525

x21 = -3.92699081698724

x22 = -36.1283155162826

x23 = -47.9092879672443

x24 = 68.329640215578

x25 = -58.1194640914112

x26 = 42.4115008234622

x27 = -40.0553063332699

x28 = -10.2101761241668

x29 = -71.4712328691678

x30 = -33.7721210260903

x31 = -93.4623814442964

x32 = 25.9181393921158

x33 = 7.85398163397448

x34 = 28.2743338823081

x35 = -14.1371669411541

x36 = 62.0464549083984

x37 = -15.707963267949

x38 = 20.4203522483337

x39 = 78.5398163397448

x40 = -51.8362787842316

x41 = -76.1836218495525

x42 = 33.7721210260903

x43 = -77.7544181763474

x44 = 65.9734457253857

x45 = -85.6083998103219

x46 = 14.1371669411541

x47 = 32.2013246992954

x48 = 84.037603483527

x49 = -5.49778714378214

x50 = 91.8915851175014

x51 = -69.9004365423729

x52 = 38.484510006475

x53 = -67.5442420521806

x54 = 40.0553063332699

x55 = 72.2566310325652

x56 = -80.1106126665397

x57 = 90.3207887907066

x58 = 55.7632696012188

x59 = -18.0641577581413

x60 = -1.5707963267949

x61 = 0.0

x62 = -55.7632696012188

x63 = 43.9822971502571

x64 = 80.1106126665397

x65 = -91.8915851175014

x66 = 21.9911485751286

x67 = -32.2013246992954

x68 = 64.4026493985908

x69 = -54.1924732744239

x70 = -43.9822971502571

x71 = -27.4889357189107

x72 = 10.2101761241668

x73 = 58.1194640914112

x74 = -25.9181393921158

x75 = 3.92699081698724

x76 = 54.1924732744239

x77 = 82.4668071567321

x78 = -63.6172512351933

x79 = 18.0641577581413

x80 = 6.28318530717959

x81 = -11.7809724509617

x82 = 2.35619449019234

x83 = 73.8274273593601

x84 = -95.8185759344887

x85 = -19.6349540849362

x86 = 98.174770424681

x87 = -89.5353906273091

x88 = 47.9092879672443

x89 = -59.6902604182061

x90 = 29.845130209103

x91 = -87.9645943005142

x92 = -62.0464549083984

x93 = 24.3473430653209

x94 = -98.174770424681

x95 = 16.4933614313464

x96 = -49.4800842940392

x97 = -29.845130209103

x98 = 46.3384916404494

x99 = 94.2477796076938

x100 = -81.6814089933346

x101 = 51.8362787842316

График