tgx=1/3 (уравнение)

Найду корень уравнения: tgx=1/3

Вы ввели

tan(x) = 1/3

$$\tan{\left(x \right)} = \frac{1}{3}$$

Подробное решение

Дано уравнение
$$\tan{\left(x \right)} = \frac{1}{3}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{3} \right)}$$
Или
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{3} \right)}$$
, где n - любое целое число

Быстрый ответ

x1 = atan(1/3)

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

Сумма и произведение корней

сумма

0 + atan(1/3)

$$0 + \operatorname{atan}{\left(\frac{1}{3} \right)}$$

=

atan(1/3)

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

произведение

1*atan(1/3)

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

=

atan(1/3)

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

Численный ответ

x1 = 82.0031595477313

x2 = -59.3685098638094

x3 = 34.8792697438844

x4 = 19.1713064759354

x5 = -78.2180657853482

x6 = 53.7288256654231

x7 = -97.067621706887

x8 = -46.8021392494503

x9 = -65.651695170989

x10 = -24.8109906743217

x11 = 41.162455051064

x12 = 3.46334320798644

x13 = 56.8704183190129

x14 = -43.6605465958605

x15 = 85.1447522013211

x16 = 88.2863448549109

x17 = -87.6428437461176

x18 = 69.4367889333721

x19 = 16.0297138223456

x20 = 91.4279375085006

x21 = -71.9348804781686

x22 = -56.2269172102196

x23 = 25.454491783115

x24 = 44.3040477046537

x25 = -21.6693980207319

x26 = -5.96143475278294

x27 = 6.60493586157623

x28 = 75.7199742405517

x29 = 94.5695301620904

x30 = -100.209214360477

x31 = -12.2446200599625

x32 = 97.7111228156802

x33 = 22.3128991295252

x34 = 28.5960844367048

x35 = 60.0120109726027

x36 = 38.0208623974742

x37 = 9.74652851516602

x38 = -40.5189539422707

x39 = 50.5872330118333

x40 = -15.3862127135523

x41 = -90.7844363997074

x42 = 66.2951962797823

x43 = -62.5101025173992

x44 = -81.359658438938

x45 = 31.7376770902946

x46 = 47.4456403582435

x47 = 72.5783815869619

x48 = -75.0764731317584

x49 = -18.5278053671421

x50 = -68.7932878245788

x51 = -2.81984209919315

x52 = -84.5012510925278

x53 = -37.3773612886809

x54 = -93.9260290532972

x55 = 0.321750554396642

x56 = 78.8615668941415

x57 = -9.10302740637274

x58 = -34.2357686350911

x59 = 12.8881211687558

x60 = 100.85271546927

x61 = 63.1536036261925

x62 = -49.9437319030401

x63 = -27.9525833279115

x64 = -53.0853245566298

x65 = -31.0941759815013

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