tan(x)=3/4 (уравнение)

Найду корень уравнения: tan(x)=3/4

Вы ввели

tan(x) = 3/4

$$\tan{\left(x \right)} = \frac{3}{4}$$

Подробное решение

Дано уравнение
$$\tan{\left(x \right)} = \frac{3}{4}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(\frac{3}{4} \right)}$$
Или
$$x = \pi n + \operatorname{atan}{\left(\frac{3}{4} \right)}$$
, где n - любое целое число

Быстрый ответ

x1 = atan(3/4)

$$x_{1} = \operatorname{atan}{\left(\frac{3}{4} \right)}$$

Сумма и произведение корней

сумма

atan(3/4)

$$\operatorname{atan}{\left(\frac{3}{4} \right)}$$

=

atan(3/4)

$$\operatorname{atan}{\left(\frac{3}{4} \right)}$$

произведение

atan(3/4)

$$\operatorname{atan}{\left(\frac{3}{4} \right)}$$

=

atan(3/4)

$$\operatorname{atan}{\left(\frac{3}{4} \right)}$$

Численный ответ

x1 = 79.1833174485381

x2 = 44.6257982590504

x3 = 76.0417247949483

x4 = -46.4803886950536

x5 = -24.4892401199251

x6 = -8.7812768519761

x7 = -37.0556107342842

x8 = 16.3514643767422

x9 = -96.7458711524903

x10 = -62.1883519630026

x11 = -21.3476474663353

x12 = 32.0594276446912

x13 = -87.3210931917209

x14 = 50.90898356623

x15 = 6.92668641597287

x16 = -49.6219813486434

x17 = -18.2060548127455

x18 = -93.6042784989005

x19 = -59.0467593094128

x20 = -55.905166655823

x21 = 94.8912807164871

x22 = -74.7547225773617

x23 = -84.1795005381311

x24 = -90.4626858453107

x25 = 101.174466023667

x26 = 91.7496880628973

x27 = 69.7585394877687

x28 = -99.8874638060801

x29 = -68.4715372701822

x30 = 85.4665027557177

x31 = -52.7635740022332

x32 = 13.2098717231525

x33 = -30.7724254271046

x34 = 41.4842056054606

x35 = 22.6346496839218

x36 = 60.3337615269994

x37 = 66.6169468341789

x38 = 35.201020298281

x39 = 54.0505762198198

x40 = 0.643501108793284

x41 = 47.7673909126402

x42 = -5.6396841983863

x43 = -71.613129923772

x44 = 57.1921688734096

x45 = 19.493057030332

x46 = 82.3249101021279

x47 = -2.49809154479651

x48 = 98.0328733700769

x49 = 3.78509376238308

x50 = -77.8963152309515

x51 = 63.4753541805892

x52 = 10.0682790695627

x53 = 88.6080954093075

x54 = -81.0379078845413

x55 = -33.9140180806944

x56 = -15.0644621591557

x57 = 28.9178349911014

x58 = 25.7762423375116

x59 = -65.3299446165924

x60 = 38.3426129518708

x61 = 72.9001321413585

x62 = -11.9228695055659

x63 = -43.3387960414638

x64 = -40.197203387874

x65 = -27.6308327735149

График