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

0 - atan(2/5)

$$- \operatorname{atan}{\left(\frac{2}{5} \right)} + 0$$

=

-atan(2/5)

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

произведение

1*-atan(2/5)

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

=

-atan(2/5)

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

Численный ответ

x1 = 84.4424952698121

x2 = 34.1770128123754

x3 = -16.0884696450613

x4 = -85.2035080240368

x5 = 93.8672732305814

x6 = -82.061915370447

x7 = 87.5840879234018

x8 = -63.2123594489082

x9 = 24.752234851606

x10 = 43.6017907731447

x11 = -31.7964329130103

x12 = -100.911471291986

x13 = -3.52209903070216

x14 = 18.4690495444264

x15 = -78.9203227168572

x16 = -44.3628035273695

x17 = 68.7345320018631

x18 = -91.4866933312164

x19 = -0.380506377112365

x20 = -41.2212108737797

x21 = -22.3716549522409

x22 = -69.4955447560878

x23 = 15.3274568908366

x24 = -34.9380255666001

x25 = 100.150458537761

x26 = 12.1858642372468

x27 = 65.5929393482733

x28 = 71.8761246554529

x29 = -56.9291741417286

x30 = 9.04427158365701

x31 = 62.4513466946835

x32 = 78.1593099626325

x33 = 75.0177173090427

x34 = -6.66369168429195

x35 = 81.3009026162223

x36 = 21.6106421980162

x37 = 27.8938275051958

x38 = 5.90267893006722

x39 = -66.353952102498

x40 = -47.5043961809593

x41 = -50.6459888345491

x42 = 49.8849760803243

x43 = -88.3451006776266

x44 = -94.6282859848062

x45 = -97.769878638396

x46 = -9.80528433788174

x47 = 37.3186054659652

x48 = 90.7256805769916

x49 = 97.0088658841712

x50 = -38.0796182201899

x51 = 40.4601981195549

x52 = -75.7787300632674

x53 = 53.0265687339141

x54 = -53.7875814881388

x55 = 59.3097540410937

x56 = 56.1681613875039

x57 = -60.0707667953184

x58 = 46.7433834267345

x59 = -72.6371374096776

x60 = -19.2300622986511

x61 = 2.76108627647743

x62 = -28.6548402594205

x63 = 31.0354201587856

x64 = -25.5132476058307

x65 = -12.9468769914715

График