tan(x)=3/2 (уравнение)

Найду корень уравнения: tan(x)=3/2

Вы ввели

tan(x) = 3/2

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

Подробное решение

Дано уравнение
$$\tan{\left(x \right)} = \frac{3}{2}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(\frac{3}{2} \right)}$$
Или
$$x = \pi n + \operatorname{atan}{\left(\frac{3}{2} \right)}$$
, где n - любое целое число

Быстрый ответ

x1 = atan(3/2)

$$x_{1} = \operatorname{atan}{\left(\frac{3}{2} \right)}$$

Сумма и произведение корней

сумма

0 + atan(3/2)

$$0 + \operatorname{atan}{\left(\frac{3}{2} \right)}$$

=

atan(3/2)

$$\operatorname{atan}{\left(\frac{3}{2} \right)}$$

произведение

1*atan(3/2)

$$1 \operatorname{atan}{\left(\frac{3}{2} \right)}$$

=

atan(3/2)

$$\operatorname{atan}{\left(\frac{3}{2} \right)}$$

Численный ответ

x1 = 60.6730541414534

x2 = 79.5226100629922

x3 = 0.982793723247329

x4 = 76.3810174094024

x5 = -36.7163181198302

x6 = -74.4154299629077

x7 = 19.8323496447861

x8 = -14.7251695447016

x9 = -55.565874041369

x10 = -64.9906520021383

x11 = 44.9650908735044

x12 = 22.9739422983759

x13 = 7.26597903042692

x14 = -2.15879893034246

x15 = 70.0978321022228

x16 = -49.2826887341894

x17 = -33.5747254662404

x18 = 95.2305733309411

x19 = 51.248276180684

x20 = 29.2571276055555

x21 = -77.5570226164975

x22 = 35.5403129127351

x23 = -68.1322446557281

x24 = 10.4075716840167

x25 = -80.6986152700873

x26 = -93.2649858844465

x27 = 88.9473880237615

x28 = -90.1233932308567

x29 = -86.9818005772669

x30 = 32.3987202591453

x31 = 41.8234982199146

x32 = -96.4065785380363

x33 = -83.8402079236771

x34 = -99.5481711916261

x35 = 101.513758638121

x36 = -71.2738373093179

x37 = 82.664202716582

x38 = 26.1155349519657

x39 = -17.8667621982914

x40 = -30.4331328126506

x41 = 66.956239448633

x42 = 13.5491643376065

x43 = 4.12438637683712

x44 = -61.8490593485485

x45 = -5.30039158393226

x46 = 98.3721659845309

x47 = 63.8146467950432

x48 = -39.85791077342

x49 = 48.1066835270942

x50 = -52.4242813877792

x51 = -46.1410960805996

x52 = 92.0889806773513

x53 = -8.44198423752205

x54 = 54.3898688342738

x55 = 16.6907569911963

x56 = -21.0083548518812

x57 = 57.5314614878636

x58 = -11.5835768911118

x59 = -27.2915401590608

x60 = -42.9995034270098

x61 = -58.7074666949587

x62 = -24.149947505471

x63 = 38.6819055663249

x64 = 85.8057953701718

x65 = 73.2394247558126

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