tan(x)=(2/5) (уравнение)

Найду корень уравнения: tan(x)=(2/5)

Вы ввели

tan(x) = 2/5

$$\tan{\left(x \right)} = \frac{2}{5}$$

Подробное решение

Дано уравнение
$$\tan{\left(x \right)} = \frac{2}{5}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(\frac{2}{5} \right)}$$
Или
$$x = \pi n + \operatorname{atan}{\left(\frac{2}{5} \right)}$$
, где n - любое целое число

Быстрый ответ

x1 = atan(2/5)

$$x_{1} = \operatorname{atan}{\left(\frac{2}{5} \right)}$$

Сумма и произведение корней

сумма

atan(2/5)

$$\operatorname{atan}{\left(\frac{2}{5} \right)}$$

=

atan(2/5)

$$\operatorname{atan}{\left(\frac{2}{5} \right)}$$

произведение

atan(2/5)

$$\operatorname{atan}{\left(\frac{2}{5} \right)}$$

=

atan(2/5)

$$\operatorname{atan}{\left(\frac{2}{5} \right)}$$

Численный ответ

x1 = 69.4955447560878

x2 = 44.3628035273695

x3 = 3.52209903070216

x4 = 34.9380255666001

x5 = -97.0088658841712

x6 = -100.150458537761

x7 = -34.1770128123754

x8 = 60.0707667953184

x9 = 63.2123594489082

x10 = 53.7875814881388

x11 = 38.0796182201899

x12 = 78.9203227168572

x13 = 85.2035080240368

x14 = 82.061915370447

x15 = 0.380506377112365

x16 = 75.7787300632674

x17 = -12.1858642372468

x18 = -9.04427158365701

x19 = 66.353952102498

x20 = -87.5840879234018

x21 = -27.8938275051958

x22 = 16.0884696450613

x23 = -24.752234851606

x24 = -49.8849760803243

x25 = 9.80528433788174

x26 = 72.6371374096776

x27 = -59.3097540410937

x28 = 19.2300622986511

x29 = -62.4513466946835

x30 = -81.3009026162223

x31 = -53.0265687339141

x32 = -56.1681613875039

x33 = 100.911471291986

x34 = -90.7256805769916

x35 = 6.66369168429195

x36 = 31.7964329130103

x37 = 91.4866933312164

x38 = 97.769878638396

x39 = -46.7433834267345

x40 = -37.3186054659652

x41 = -68.7345320018631

x42 = -75.0177173090427

x43 = -40.4601981195549

x44 = -78.1593099626325

x45 = 50.6459888345491

x46 = -65.5929393482733

x47 = 94.6282859848062

x48 = 25.5132476058307

x49 = 12.9468769914715

x50 = -31.0354201587856

x51 = 41.2212108737797

x52 = -2.76108627647743

x53 = 56.9291741417286

x54 = -71.8761246554529

x55 = -21.6106421980162

x56 = 28.6548402594205

x57 = -5.90267893006722

x58 = -18.4690495444264

x59 = 47.5043961809593

x60 = -93.8672732305814

x61 = -15.3274568908366

x62 = 88.3451006776266

x63 = 22.3716549522409

x64 = -43.6017907731447

x65 = -84.4424952698121

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