tan3*x/2 (уравнение)

Найду корень уравнения: tan3*x/2

Вы ввели

tan(3*x)    
-------- = 0
   2        

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

Подробное решение

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

с изменением знака при 0

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

Разделим обе части ур-ния на 1/2

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

$$x_{1} = 0$$

Численный ответ

x1 = -75.398223686155

x2 = 34.5575191894877

x3 = 10.471975511966

x4 = -94.2477796076938

x5 = -31.4159265358979

x6 = -61.7846555205993

x7 = 17.8023583703422

x8 = 48.1710873550435

x9 = -50.2654824574367

x10 = -13.6135681655558

x11 = 98.4365698124802

x12 = 50.2654824574367

x13 = 87.9645943005142

x14 = -55.5014702134197

x15 = -43.9822971502571

x16 = 14.6607657167524

x17 = -74.3510261349584

x18 = -46.0766922526503

x19 = 94.2477796076938

x20 = 52.3598775598299

x21 = -52.3598775598299

x22 = 32.4631240870945

x23 = -4.18879020478639

x24 = -33.5103216382911

x25 = -28.2743338823081

x26 = 65.9734457253857

x27 = -21.9911485751286

x28 = -83.7758040957278

x29 = -79.5870138909414

x30 = -63.8790506229925

x31 = -15.707963267949

x32 = -6.28318530717959

x33 = 76.4454212373516

x34 = 54.4542726622231

x35 = 61.7846555205993

x36 = -72.2566310325652

x37 = -53.4070751110265

x38 = 19.8967534727354

x39 = -70.162235930172

x40 = -7.33038285837618

x41 = 21.9911485751286

x42 = -96.342174710087

x43 = -97.3893722612836

x44 = -37.6991118430775

x45 = -9.42477796076938

x46 = -81.6814089933346

x47 = -35.6047167406843

x48 = -24.0855436775217

x49 = 4.18879020478639

x50 = -87.9645943005142

x51 = -26.1799387799149

x52 = -48.1710873550435

x53 = 72.2566310325652

x54 = 15.707963267949

x55 = 41.8879020478639

x56 = -99.4837673636768

x57 = 85.870199198121

x58 = 70.162235930172

x59 = 6.28318530717959

x60 = -68.0678408277789

x61 = -92.1533845053006

x62 = 56.5486677646163

x63 = 26.1799387799149

x64 = 2.0943951023932

x65 = -77.4926187885482

x66 = -90.0589894029074

x67 = 36.6519142918809

x68 = -39.7935069454707

x69 = 59.6902604182061

x70 = 92.1533845053006

x71 = 80.634211442138

x72 = 78.5398163397448

x73 = -59.6902604182061

x74 = -11.5191730631626

x75 = 83.7758040957278

x76 = 100.530964914873

x77 = 28.2743338823081

x78 = 96.342174710087

x79 = 43.9822971502571

x80 = 81.6814089933346

x81 = 30.3687289847013

x82 = 8.37758040957278

x83 = 37.6991118430775

x84 = 39.7935069454707

x85 = -17.8023583703422

x86 = 12.5663706143592

x87 = 58.6430628670095

x88 = 68.0678408277789

x89 = 0.0

x90 = 90.0589894029074

x91 = -65.9734457253857

x92 = -30.3687289847013

x93 = -57.5958653158129

x94 = 24.0855436775217

x95 = 74.3510261349584

x96 = -41.8879020478639

x97 = 63.8790506229925

x98 = 46.0766922526503

x99 = -85.870199198121

x100 = -19.8967534727354

x101 = -2.0943951023932

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