2tan3x=0 (уравнение)

Найду корень уравнения: 2tan3x=0

Вы ввели

2*tan(3*x) = 0

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

Подробное решение

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

с изменением знака при 0

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

Разделим обе части ур-ния на 2

Ур-ние превратится в
$$\tan{\left(3 x \right)} = 0$$
Это ур-ние преобразуется в
$$3 x = \pi n + \operatorname{atan}{\left(0 \right)}$$
Или
$$3 x = \pi n$$
, где n - любое целое число
Разделим обе части полученного ур-ния на
$$3$$
получим ответ:
$$x_{1} = \frac{\pi n}{3}$$

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 = 59.6902604182061

x2 = 74.3510261349584

x3 = 21.9911485751286

x4 = -55.5014702134197

x5 = -87.9645943005142

x6 = 83.7758040957278

x7 = 56.5486677646163

x8 = -75.398223686155

x9 = -99.4837673636768

x10 = -96.342174710087

x11 = 26.1799387799149

x12 = -33.5103216382911

x13 = -43.9822971502571

x14 = -85.870199198121

x15 = 48.1710873550435

x16 = -90.0589894029074

x17 = 39.7935069454707

x18 = 6.28318530717959

x19 = 68.0678408277789

x20 = -30.3687289847013

x21 = 72.2566310325652

x22 = -52.3598775598299

x23 = 10.471975511966

x24 = 2.0943951023932

x25 = -72.2566310325652

x26 = -53.4070751110265

x27 = -79.5870138909414

x28 = -26.1799387799149

x29 = -21.9911485751286

x30 = 54.4542726622231

x31 = -31.4159265358979

x32 = -48.1710873550435

x33 = 98.4365698124802

x34 = -92.1533845053006

x35 = -4.18879020478639

x36 = -39.7935069454707

x37 = 34.5575191894877

x38 = -74.3510261349584

x39 = -63.8790506229925

x40 = -94.2477796076938

x41 = 12.5663706143592

x42 = -24.0855436775217

x43 = 80.634211442138

x44 = 90.0589894029074

x45 = -50.2654824574367

x46 = -97.3893722612836

x47 = 15.707963267949

x48 = -35.6047167406843

x49 = 96.342174710087

x50 = 63.8790506229925

x51 = 8.37758040957278

x52 = 24.0855436775217

x53 = -7.33038285837618

x54 = 0.0

x55 = -13.6135681655558

x56 = 19.8967534727354

x57 = -37.6991118430775

x58 = 61.7846555205993

x59 = 65.9734457253857

x60 = 85.870199198121

x61 = -61.7846555205993

x62 = 81.6814089933346

x63 = 17.8023583703422

x64 = -19.8967534727354

x65 = -41.8879020478639

x66 = 41.8879020478639

x67 = -81.6814089933346

x68 = 28.2743338823081

x69 = -46.0766922526503

x70 = 100.530964914873

x71 = 52.3598775598299

x72 = -77.4926187885482

x73 = 70.162235930172

x74 = -2.0943951023932

x75 = 4.18879020478639

x76 = 76.4454212373516

x77 = -70.162235930172

x78 = -57.5958653158129

x79 = 87.9645943005142

x80 = 58.6430628670095

x81 = -11.5191730631626

x82 = 32.4631240870945

x83 = 37.6991118430775

x84 = -28.2743338823081

x85 = -6.28318530717959

x86 = 43.9822971502571

x87 = -17.8023583703422

x88 = 94.2477796076938

x89 = -68.0678408277789

x90 = -59.6902604182061

x91 = -9.42477796076938

x92 = -15.707963267949

x93 = 30.3687289847013

x94 = 78.5398163397448

x95 = 92.1533845053006

x96 = -65.9734457253857

x97 = 36.6519142918809

x98 = 50.2654824574367

x99 = 46.0766922526503

x100 = -83.7758040957278

x101 = 14.6607657167524

График