cos x = 1/3 (уравнение)

Найду корень уравнения: cos x = 1/3

Вы ввели

cos(x) = 1/3

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

Подробное решение

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

Быстрый ответ

x1 = -acos(1/3) + 2*pi

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

x2 = acos(1/3)

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

Численный ответ

x1 = -1.23095941734077

x2 = 64.0628124891366

x3 = 57.7796271819571

x4 = -11.3354111970184

x5 = 45.2132565675979

x6 = 55.3177083472755

x7 = 1.23095941734077

x8 = -74.1672642688143

x9 = 23.9017818113776

x10 = -36.4681524257367

x11 = -20.0805153388795

x12 = -49.0345230400959

x13 = -61.6008936544551

x14 = 86.7336348831734

x15 = -89.195553717855

x16 = 5.05222588983881

x17 = 32.6468859532387

x18 = 67.8840789616347

x19 = -76.6291831034958

x20 = -26.3637006460591

x21 = 36.4681524257367

x22 = -82.9123684106754

x23 = 49.0345230400959

x24 = 89.195553717855

x25 = -80.4504495759938

x26 = 30.1849671185572

x27 = -325.494676555998

x28 = -45.2132565675979

x29 = 93.016820190353

x30 = -86.7336348831734

x31 = -42.7513377329163

x32 = -17.618596504198

x33 = -67.8840789616347

x34 = 82.9123684106754

x35 = 11.3354111970184

x36 = 20.0805153388795

x37 = 42.7513377329163

x38 = -7.51414472452036

x39 = 80.4504495759938

x40 = -38.9300712604183

x41 = 13.7973300316999

x42 = 7.51414472452036

x43 = -55.3177083472755

x44 = -30.1849671185572

x45 = -5.05222588983881

x46 = -64.0628124891366

x47 = 99.3000054975326

x48 = -32.6468859532387

x49 = 70.3459977963162

x50 = 26.3637006460591

x51 = 74.1672642688143

x52 = -70.3459977963162

x53 = 38.9300712604183

x54 = -23.9017818113776

x55 = -57.7796271819571

x56 = 17.618596504198

x57 = 61.6008936544551

x58 = 76.6291831034958

x59 = -13.7973300316999

x60 = -99.3000054975326

x61 = -101.761924332214

x62 = -95.4787390250346

x63 = -51.4964418747775

x64 = -93.016820190353

x65 = 51.4964418747775

x66 = 95.4787390250346

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