tan(2x+3) (уравнение)

Найду корень уравнения: tan(2x+3)

Вы ввели

tan(2*x + 3) = 0

$$\tan{\left(2 x + 3 \right)} = 0$$

Подробное решение

Дано уравнение
$$\tan{\left(2 x + 3 \right)} = 0$$
- это простейшее тригонометрическое ур-ние

с изменением знака при 0

Получим:
$$\tan{\left(2 x + 3 \right)} = 0$$
Это ур-ние преобразуется в
$$2 x + 3 = \pi n + \operatorname{atan}{\left(0 \right)}$$
Или
$$2 x + 3 = \pi n$$
, где n - любое целое число
Перенесём
$$3$$
в правую часть ур-ния
с противоположным знаком, итого:
$$2 x = \pi n - 3$$
Разделим обе части полученного ур-ния на
$$2$$
получим ответ:
$$x_{1} = \frac{\pi n}{2} - \frac{3}{2}$$

Быстрый ответ

x1 = -3/2

$$x_{1} = - \frac{3}{2}$$

Сумма и произведение корней

сумма

-3/2

$$- \frac{3}{2}$$

=

-3/2

$$- \frac{3}{2}$$

произведение

-3/2

$$- \frac{3}{2}$$

=

-3/2

$$- \frac{3}{2}$$

Численный ответ

x1 = 15.7787595947439

x2 = -15.6371669411541

x3 = 97.4601685880785

x4 = -31.345130209103

x5 = -53.3362787842316

x6 = 95.8893722612836

x7 = 66.0442420521806

x8 = 67.6150383789755

x9 = -17.207963267949

x10 = 36.1991118430775

x11 = -1.5

x12 = 12.6371669411541

x13 = -78.4690200129499

x14 = -95.7477796076938

x15 = -83.1814089933346

x16 = 94.3185759344887

x17 = -48.6238898038469

x18 = 6.35398163397448

x19 = 73.898223686155

x20 = 40.9115008234622

x21 = -97.3185759344887

x22 = -72.1858347057703

x23 = -12.4955742875643

x24 = 44.053093477052

x25 = -75.3274273593601

x26 = -6.21238898038469

x27 = 56.6194640914112

x28 = 1.64159265358979

x29 = -37.6283155162826

x30 = 34.6283155162826

x31 = -50.1946861306418

x32 = -64.3318530717959

x33 = -51.7654824574367

x34 = -94.1769832808989

x35 = 14.207963267949

x36 = -61.1902604182061

x37 = 50.3362787842316

x38 = 84.8937979737193

x39 = -67.4734457253857

x40 = 31.4867228626928

x41 = -59.6194640914112

x42 = -89.4645943005142

x43 = 45.6238898038469

x44 = 88.0353906273091

x45 = 37.7699081698724

x46 = -87.8937979737193

x47 = 89.606186954104

x48 = -70.6150383789755

x49 = -65.9026493985908

x50 = -73.7566310325652

x51 = 29.9159265358979

x52 = 70.7566310325652

x53 = -3.0707963267949

x54 = 62.9026493985908

x55 = -43.9115008234622

x56 = 42.4822971502571

x57 = -100.460168588078

x58 = -45.4822971502571

x59 = 58.1902604182061

x60 = -81.6106126665397

x61 = 7.92477796076938

x62 = 48.7654824574367

x63 = -25.0619449019235

x64 = 92.7477796076938

x65 = -23.4911485751286

x66 = 86.4645943005142

x67 = 53.4778714378214

x68 = -34.4867228626928

x69 = -39.1991118430775

x70 = 51.9070751110265

x71 = -58.0486677646163

x72 = -9.35398163397448

x73 = 28.345130209103

x74 = 26.7743338823081

x75 = -29.7743338823081

x76 = 4.78318530717959

x77 = 0.0707963267948966

x78 = 80.1814089933346

x79 = 100.601761241668

x80 = 9.49557428756428

x81 = 72.3274273593601

x82 = -20.3495559215388

x83 = -86.3230016469244

x84 = -28.2035375555132

x85 = -80.0398163397448

x86 = 20.4911485751286

x87 = -7.78318530717959

x88 = 18.9203522483337

x89 = 78.6106126665397

x90 = -56.4778714378214

x91 = -42.3407044966673

x92 = 22.0619449019235

x93 = 75.4690200129499

x94 = -92.606186954104

x95 = -21.9203522483337

x96 = 23.6327412287183

x97 = 59.761056745001

x98 = -14.0663706143592

x99 = 81.7522053201295

x100 = -36.0575191894877

x101 = 64.4734457253857

График