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)

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

=

atan(4/3)

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

произведение

1*atan(4/3)

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

=

atan(4/3)

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

Численный ответ

x1 = -52.4797798930249

x2 = 35.4848144074893

x3 = 13.4936658323608

x4 = 63.7591482897975

x5 = 76.3255189041567

x6 = -83.8957064289228

x7 = 51.1927776754383

x8 = -68.1877431609738

x9 = -71.3293358145636

x10 = 88.8918895185158

x11 = 54.3343703290281

x12 = 85.750296864926

x13 = -74.4709284681534

x14 = 32.3432217538995

x15 = 70.0423335969771

x16 = 0.927295218001612

x17 = -2.21429743558818

x18 = -43.0550019322555

x19 = 48.0511850218485

x20 = -36.7718166250759

x21 = -8.49748274276777

x22 = -30.4886313178963

x23 = -87.0372990825126

x24 = -46.1965945858453

x25 = 10.352073178771

x26 = -27.3470386643065

x27 = -33.6302239714861

x28 = 57.4759629826179

x29 = 7.2104805251812

x30 = -58.7629652002045

x31 = 66.9007409433873

x32 = 79.4671115577464

x33 = -61.9045578537943

x34 = 92.0334821721056

x35 = -96.462077043282

x36 = -21.0638533571269

x37 = -39.9134092786657

x38 = 95.1750748256954

x39 = 38.6264070610791

x40 = -55.6213725466147

x41 = 22.9184437931302

x42 = -93.3204843896922

x43 = 4.06888787159141

x44 = 26.06003644672

x45 = -99.6036696968718

x46 = -77.6125211217432

x47 = -65.046150507384

x48 = 73.1839262505669

x49 = -5.35589008917797

x50 = -49.3381872394351

x51 = 98.3166674792852

x52 = -90.1788917361024

x53 = 41.7679997146689

x54 = 44.9095923682587

x55 = 60.6175556362077

x56 = 29.2016291003098

x57 = -11.6390753963576

x58 = -80.754113775333

x59 = 101.458260132875

x60 = 82.6087042113362

x61 = 19.7768511395404

x62 = -24.2054460107167

x63 = -17.9222607035371

x64 = -14.7806680499474

x65 = 16.6352584859506

График