2*cos(x)=2 (уравнение)

Найду корень уравнения: 2*cos(x)=2

Вы ввели

2*cos(x) = 2

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

Подробное решение

Дано уравнение
$$2 \cos{\left (x \right )} = 2$$
- это простейшее тригонометрическое ур-ние

Разделим обе части ур-ния на 2

Ур-ние превратится в
$$\cos{\left (x \right )} = 1$$
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{acos}{\left (1 \right )}$$
$$x = \pi n - \pi + \operatorname{acos}{\left (1 \right )}$$
Или
$$x = \pi n$$
$$x = \pi n - \pi$$
, где n - любое целое число

Быстрый ответ

x1 = 0

$$x_{1} = 0$$

x2 = 2*pi

$$x_{2} = 2 \pi$$

Численный ответ

x1 = 12.5663704427000

x2 = 62.8318535568000

x3 = 56.5486682809000

x4 = 25.1327408328000

x5 = 56.5486668532000

x6 = 87.9645938122000

x7 = -6.28318581605000

x8 = 25.1327416384000

x9 = -37.6991113480000

x10 = -94.2477794453000

x11 = 50.2654829440000

x12 = 94.2477792651000

x13 = 69.1150387941000

x14 = -43.9822967932000

x15 = 31.4159268460000

x16 = -69.1150379045000

x17 = 87.9645946044000

x18 = 31.4159260649000

x19 = 50.2654821323000

x20 = 6.28318579822000

x21 = 56.5486680806000

x22 = 12.5663710111000

x23 = -18.8495563230000

x24 = -81.6814090382000

x25 = -6.28318555850000

x26 = 12.5663711302000

x27 = 75.3982232189000

x28 = -87.9645947692000

x29 = -4.79511606159000e-7

x30 = 6.28318626748000

x31 = -37.6991121287000

x32 = 37.6991113349000

x33 = -87.9645939285000

x34 = 81.6814085861000

x35 = -75.3982238742000

x36 = -62.8318534787000

x37 = -50.2654829667000

x38 = 94.2477800893000

x39 = 56.5486676012000

x40 = 43.9822974734000

x41 = -37.6991118773000

x42 = -12.5663703113000

x43 = -18.8495552124000

x44 = 0.0

x45 = 100.530964760000

x46 = -81.6814092565000

x47 = -69.1150386869000

x48 = 6.28318528421000

x49 = 3.40772025643000e-7

x50 = -75.3982231046000

x51 = -62.8318526732000

x52 = -81.6814084946000

x53 = 37.6991120311000

x54 = 37.6991115174000

x55 = -75.3982231720000

x56 = 75.3982240032000

x57 = -31.4159260508000

x58 = 62.8318527849000

x59 = -50.2654826411000

x60 = -50.2654822863000

x61 = -18.8495555173000

x62 = -31.4159260208000

x63 = -25.1327407506000

x64 = 6.28318500094000

x65 = 69.1150379888000

x66 = -12.5663710890000

x67 = -56.5486674686000

x68 = -43.9822971745000

x69 = 94.2477796094000

x70 = -100.530964626000

x71 = -56.5486682427000

x72 = 50.2654824463000

x73 = 43.9822966661000

x74 = -31.4159267158000

x75 = -94.2477797298000

x76 = -25.1327415297000

x77 = 81.6814091897000

x78 = 100.530965157000

x79 = -6.28318512755000

x80 = -94.2477801172000

x81 = 43.9822971695000

x82 = -87.9645943586000

x83 = -43.9822976246000

x84 = 87.9645943359000

x85 = 18.8495564032000

x86 = 18.8495556276000

x87 = 81.6814084860000

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