cos(x) = -√3/2 (уравнение)

Найду корень уравнения: cos(x) = -√3/2

Вы ввели

            ___ 
         -\/ 3  
cos(x) = -------
            2   

$$\cos{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$

Подробное решение

Дано уравнение
$$\cos{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{acos}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{\sqrt{3}}{2} \right)}$$
Или
$$x = \pi n + \frac{5 \pi}{6}$$
$$x = \pi n - \frac{\pi}{6}$$
, где n - любое целое число

Быстрый ответ

     5*pi
x1 = ----
      6  

$$x_{1} = \frac{5 \pi}{6}$$

     7*pi
x2 = ----
      6  

$$x_{2} = \frac{7 \pi}{6}$$

Численный ответ

x1 = 2.61799387799149

x2 = -79.0634151153431

x3 = 40.317105721069

x4 = 78.0162175641465

x5 = -9.94837673636768

x6 = -15.1843644923507

x7 = -2.61799387799149

x8 = 47.6474885794452

x9 = -71.733032256967

x10 = 79.0634151153431

x11 = 91.6297857297023

x12 = 84.2994028713261

x13 = -78.0162175641465

x14 = 3.66519142918809

x15 = -59.1666616426078

x16 = -97.9129710368819

x17 = -41.3643032722656

x18 = 41.3643032722656

x19 = 66.497044500984

x20 = 71.733032256967

x21 = -28.7979326579064

x22 = -857.131195654415

x23 = -96.8657734856853

x24 = -53.9306738866248

x25 = 59.1666616426078

x26 = -90.5825881785057

x27 = -85.3466004225227

x28 = 97.9129710368819

x29 = -65.4498469497874

x30 = -27.7507351067098

x31 = -4697.20461589234

x32 = -40.317105721069

x33 = -16.2315620435473

x34 = 15.1843644923507

x35 = 60.2138591938044

x36 = 9.94837673636768

x37 = 90.5825881785057

x38 = 22.5147473507269

x39 = 216.246294322097

x40 = -3.66519142918809

x41 = -35.081117965086

x42 = -66.497044500984

x43 = 203.679923707738

x44 = 46.6002910282486

x45 = 192.160750644576

x46 = 16.2315620435473

x47 = -21.4675497995303

x48 = 27.7507351067098

x49 = -22.5147473507269

x50 = 85.3466004225227

x51 = 8.90117918517108

x52 = 65.4498469497874

x53 = 53.9306738866248

x54 = 21.4675497995303

x55 = 96.8657734856853

x56 = 72.7802298081635

x57 = -72.7802298081635

x58 = -46.6002910282486

x59 = -34.0339204138894

x60 = -8.90117918517108

x61 = 28.7979326579064

x62 = -91.6297857297023

x63 = -128.281700021583

x64 = -52.8834763354282

x65 = 34.0339204138894

x66 = -84.2994028713261

x67 = -60.2138591938044

x68 = 35.081117965086

x69 = -47.6474885794452

x70 = 52.8834763354282

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