cos(x)=2/3 (уравнение)

Найду корень уравнения: cos(x)=2/3

Вы ввели

cos(x) = 2/3

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

Подробное решение

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

Быстрый ответ

x1 = -acos(2/3) + 2*pi

$$x_{1} = - \operatorname{acos}{\left(\frac{2}{3} \right)} + 2 \pi$$

x2 = acos(2/3)

$$x_{2} = \operatorname{acos}{\left(\frac{2}{3} \right)}$$

Численный ответ

x1 = 19.6906245921067

x2 = -44.823365820825

x3 = 49.4244137868688

x4 = -101.372033585441

x5 = -99.6898962443055

x6 = 57.3897364351842

x7 = -82.5224776639025

x8 = 13.4074392849271

x9 = -74.5571550155871

x10 = 38.5401805136454

x11 = -51.1065511280046

x12 = -63.6729217423638

x13 = 87.1235256299463

x14 = 24.2916725581504

x15 = 82.5224776639025

x16 = 95.0888482782617

x17 = 88.8056629710821

x18 = -32.2569952064659

x19 = -93.4067109371259

x20 = 43.1412284796892

x21 = 18.0084872509708

x22 = -13.4074392849271

x23 = -11.7253019437912

x24 = 51.1065511280046

x25 = 36.8580431725096

x26 = -80.8403403227667

x27 = -95.0888482782617

x28 = 0.84106867056793

x29 = 5.44211663661166

x30 = -61.9907844012279

x31 = -38.5401805136454

x32 = -19.6906245921067

x33 = 25.9738098992863

x34 = -55.7075990940483

x35 = 93.4067109371259

x36 = 74.5571550155871

x37 = 63.6729217423638

x38 = 80.8403403227667

x39 = -36.8580431725096

x40 = -69.9561070495434

x41 = 30.57485786533

x42 = 61.9907844012279

x43 = 68.2739697084075

x44 = 32.2569952064659

x45 = -88.8056629710821

x46 = 11.7253019437912

x47 = 99.6898962443055

x48 = -49.4244137868688

x49 = 55.7075990940483

x50 = -24.2916725581504

x51 = -5.44211663661166

x52 = 69.9561070495434

x53 = -25.9738098992863

x54 = -76.239292356723

x55 = 44.823365820825

x56 = 76.239292356723

x57 = 7.12425397774752

x58 = -0.84106867056793

x59 = -87.1235256299463

x60 = -43.1412284796892

x61 = -68.2739697084075

x62 = -30.57485786533

x63 = -18.0084872509708

x64 = -57.3897364351842

x65 = -7.12425397774752

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