cos(x)=-8/17 (уравнение)

Найду корень уравнения: cos(x)=-8/17

Вы ввели

cos(x) = -8/17

$$\cos{\left(x \right)} = - \frac{8}{17}$$

Подробное решение

Дано уравнение
$$\cos{\left(x \right)} = - \frac{8}{17}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{acos}{\left(- \frac{8}{17} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{8}{17} \right)}$$
Или
$$x = \pi n + \operatorname{acos}{\left(- \frac{8}{17} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{8}{17} \right)}$$
, где n - любое целое число

Быстрый ответ

x1 = -acos(-8/17) + 2*pi

$$x_{1} = - \operatorname{acos}{\left(- \frac{8}{17} \right)} + 2 \pi$$

x2 = acos(-8/17)

$$x_{2} = \operatorname{acos}{\left(- \frac{8}{17} \right)}$$

Численный ответ

x1 = 2.06075365304863

x2 = 52.3262361104853

x3 = -71.1757920320241

x4 = 90.0253479535628

x5 = -29.3551728828493

x6 = -2.06075365304863

x7 = 98.4702112618248

x8 = -79.620655340286

x9 = 73.3374700331064

x10 = -90.0253479535628

x11 = -52.3262361104853

x12 = 64.8926067248445

x13 = 35.6383581900289

x14 = -48.2047288043881

x15 = 58.6094214176649

x16 = 10.5056169613105

x17 = 71.1757920320241

x18 = 85.9038406474656

x19 = 96.3085332607424

x20 = -14.6271242674078

x21 = -16.7888022684901

x22 = -46.0430508033057

x23 = 4.22243165413096

x24 = -67.0542847259268

x25 = 23.0719875756697

x26 = 29.3551728828493

x27 = 48.2047288043881

x28 = 16.7888022684901

x29 = 41.9215434972085

x30 = -10.5056169613105

x31 = -33.4766801889466

x32 = -35.6383581900289

x33 = 33.4766801889466

x34 = -8.34393896022821

x35 = -58.6094214176649

x36 = 67.0542847259268

x37 = 39.7598654961261

x38 = -41.9215434972085

x39 = -73.3374700331064

x40 = 83.7421626463832

x41 = -64.8926067248445

x42 = -96.3085332607424

x43 = -85.9038406474656

x44 = 14.6271242674078

x45 = -23.0719875756697

x46 = -77.4589773392037

x47 = -83.7421626463832

x48 = -4.22243165413096

x49 = -27.193494881767

x50 = 54.4879141115677

x51 = 60.7710994187472

x52 = 46.0430508033057

x53 = 27.193494881767

x54 = 92.1870259546452

x55 = -54.4879141115677

x56 = 8.34393896022821

x57 = 20.9103095745874

x58 = -60.7710994187472

x59 = -39.7598654961261

x60 = -92.1870259546452

x61 = -98.4702112618248

x62 = -20.9103095745874

x63 = 77.4589773392037

x64 = 79.620655340286

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