tg(x)=-3/4 (уравнение)

Найду корень уравнения: tg(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

0 - atan(3/4)

$$- \operatorname{atan}{\left(\frac{3}{4} \right)} + 0$$

=

-atan(3/4)

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

произведение

1*-atan(3/4)

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

=

-atan(3/4)

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

Численный ответ

x1 = 87.3210931917209

x2 = 90.4626858453107

x3 = 81.0379078845413

x4 = 84.1795005381311

x5 = 11.9228695055659

x6 = -19.493057030332

x7 = 68.4715372701822

x8 = 65.3299446165924

x9 = 74.7547225773617

x10 = -94.8912807164871

x11 = -101.174466023667

x12 = -72.9001321413585

x13 = -88.6080954093075

x14 = 71.613129923772

x15 = 55.905166655823

x16 = 30.7724254271046

x17 = 46.4803886950536

x18 = 27.6308327735149

x19 = 21.3476474663353

x20 = -60.3337615269994

x21 = -98.0328733700769

x22 = 33.9140180806944

x23 = 62.1883519630026

x24 = 49.6219813486434

x25 = -0.643501108793284

x26 = -50.90898356623

x27 = -76.0417247949483

x28 = 99.8874638060801

x29 = 18.2060548127455

x30 = -91.7496880628973

x31 = 96.7458711524903

x32 = -35.201020298281

x33 = -10.0682790695627

x34 = 2.49809154479651

x35 = -38.3426129518708

x36 = -13.2098717231525

x37 = -66.6169468341789

x38 = -22.6346496839218

x39 = -85.4665027557177

x40 = 52.7635740022332

x41 = -28.9178349911014

x42 = 15.0644621591557

x43 = -41.4842056054606

x44 = 59.0467593094128

x45 = -79.1833174485381

x46 = -82.3249101021279

x47 = 24.4892401199251

x48 = 8.7812768519761

x49 = -44.6257982590504

x50 = -25.7762423375116

x51 = 5.6396841983863

x52 = -63.4753541805892

x53 = -69.7585394877687

x54 = -47.7673909126402

x55 = -3.78509376238308

x56 = -6.92668641597287

x57 = -57.1921688734096

x58 = -54.0505762198198

x59 = 77.8963152309515

x60 = 93.6042784989005

x61 = 40.197203387874

x62 = -32.0594276446912

x63 = -16.3514643767422

x64 = 43.3387960414638

x65 = 37.0556107342842

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