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 = -92.3371463714448

x2 = 16.9389226852897

x3 = -29.5052932996489

x4 = -89.8752275367632

x5 = 20.7601891577878

x6 = 98.6203316786244

x7 = -58.4593010008653

x8 = 155.168999443241

x9 = -73.487590449906

x10 = -10.6557373781102

x11 = 29.5052932996489

x12 = 83.5920422295836

x13 = -96.1584128439428

x14 = -60.9212198355468

x15 = 27.0433744649674

x16 = 77.3088569224041

x17 = 92.3371463714448

x18 = -35.7884786068285

x19 = 52.1761156936857

x20 = 1.91063323624902

x21 = -52.1761156936857

x22 = 39.6097450793265

x23 = 73.487590449906

x24 = 58.4593010008653

x25 = -8.19381854342861

x26 = -54.6380345283673

x27 = 64.7424863080449

x28 = -83.5920422295836

x29 = -67.2044051427264

x30 = -98.6203316786244

x31 = -16.9389226852897

x32 = 42.0716639140081

x33 = -27.0433744649674

x34 = 45.8929303865061

x35 = -86.0539610642652

x36 = -20.7601891577878

x37 = 71.0256716152245

x38 = -48.3548492211877

x39 = -23.2221079924693

x40 = -71.0256716152245

x41 = -14.4770038506082

x42 = 3328.17757956893

x43 = 35.7884786068285

x44 = 79.7707757570856

x45 = 60.9212198355468

x46 = -1.91063323624902

x47 = -42.0716639140081

x48 = 4.37255207093057

x49 = -39.6097450793265

x50 = 14.4770038506082

x51 = 33.326559772147

x52 = -79.7707757570856

x53 = -77.3088569224041

x54 = 96.1584128439428

x55 = -4.37255207093057

x56 = 10.6557373781102

x57 = -64.7424863080449

x58 = -33.326559772147

x59 = 89.8752275367632

x60 = 23.2221079924693

x61 = 54.6380345283673

x62 = 8.19381854342861

x63 = -45.8929303865061

x64 = -971.983089376587

x65 = 67.2044051427264

x66 = 48.3548492211877

x67 = 86.0539610642652

График