tan(x)=-4/3 (уравнение)

Найду корень уравнения: tan(x)=-4/3

Вы ввели

tan(x) = -4/3

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

Подробное решение

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

Быстрый ответ

x1 = -atan(4/3)

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

Сумма и произведение корней

сумма

0 - atan(4/3)

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

=

-atan(4/3)

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

произведение

1*-atan(4/3)

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

=

-atan(4/3)

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

Численный ответ

x1 = -63.7591482897975

x2 = -35.4848144074893

x3 = 17.9222607035371

x4 = 68.1877431609738

x5 = -48.0511850218485

x6 = -38.6264070610791

x7 = 5.35589008917797

x8 = -57.4759629826179

x9 = 74.4709284681534

x10 = -19.7768511395404

x11 = -29.2016291003098

x12 = -13.4936658323608

x13 = -101.458260132875

x14 = 99.6036696968718

x15 = -73.1839262505669

x16 = -98.3166674792852

x17 = 93.3204843896922

x18 = 46.1965945858453

x19 = -16.6352584859506

x20 = -66.9007409433873

x21 = -44.9095923682587

x22 = 80.754113775333

x23 = 39.9134092786657

x24 = 87.0372990825126

x25 = -7.2104805251812

x26 = 11.6390753963576

x27 = 49.3381872394351

x28 = 33.6302239714861

x29 = 65.046150507384

x30 = -88.8918895185158

x31 = 55.6213725466147

x32 = -22.9184437931302

x33 = -0.927295218001612

x34 = -51.1927776754383

x35 = -26.06003644672

x36 = -85.750296864926

x37 = 2.21429743558818

x38 = -32.3432217538995

x39 = -76.3255189041567

x40 = -4.06888787159141

x41 = -79.4671115577464

x42 = -92.0334821721056

x43 = 90.1788917361024

x44 = -95.1750748256954

x45 = 52.4797798930249

x46 = -82.6087042113362

x47 = -70.0423335969771

x48 = 14.7806680499474

x49 = 83.8957064289228

x50 = 8.49748274276777

x51 = -54.3343703290281

x52 = 61.9045578537943

x53 = 24.2054460107167

x54 = 77.6125211217432

x55 = 27.3470386643065

x56 = -60.6175556362077

x57 = 71.3293358145636

x58 = 96.462077043282

x59 = -10.352073178771

x60 = 36.7718166250759

x61 = 30.4886313178963

x62 = 58.7629652002045

x63 = 43.0550019322555

x64 = -41.7679997146689

x65 = 21.0638533571269

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