(cos(x)+5)/6=1 (уравнение)

Найду корень уравнения: (cos(x)+5)/6=1

Вы ввели

cos(x) + 5    
---------- = 1
    6         

$$\frac{1}{6} \left(\cos{\left (x \right )} + 5\right) = 1$$

Подробное решение

Дано уравнение
$$\frac{1}{6} \left(\cos{\left (x \right )} + 5\right) = 1$$
- это простейшее тригонометрическое ур-ние

Разделим обе части ур-ния на 1/6

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 = 182.212370368000

x14 = 69.1150387941000

x15 = -43.9822967932000

x16 = 31.4159268460000

x17 = -69.1150379045000

x18 = 87.9645946044000

x19 = 31.4159260649000

x20 = 50.2654821323000

x21 = 6.28318579822000

x22 = 56.5486680806000

x23 = 12.5663710111000

x24 = -18.8495563230000

x25 = -81.6814107940000

x26 = -81.6814090382000

x27 = -6.28318555850000

x28 = 12.5663711302000

x29 = 75.3982232189000

x30 = -87.9645947692000

x31 = -4.79511606159000e-7

x32 = 6.28318626748000

x33 = -37.6991121287000

x34 = 37.6991113349000

x35 = -87.9645939285000

x36 = 81.6814085861000

x37 = -75.3982238742000

x38 = -62.8318534787000

x39 = -50.2654829667000

x40 = 94.2477800893000

x41 = 56.5486676012000

x42 = 43.9822974734000

x43 = -37.6991118773000

x44 = -12.5663703113000

x45 = -18.8495552124000

x46 = 0.0

x47 = 100.530964760000

x48 = -81.6814092565000

x49 = -69.1150386869000

x50 = 37.6991115174000

x51 = 3.40772025643000e-7

x52 = -75.3982231046000

x53 = -62.8318526732000

x54 = -81.6814084946000

x55 = -81.6814075578000

x56 = 37.6991120311000

x57 = 6.28318528421000

x58 = -75.3982231720000

x59 = 75.3982240032000

x60 = -31.4159260508000

x61 = 62.8318527849000

x62 = -50.2654826411000

x63 = -50.2654822863000

x64 = -18.8495555173000

x65 = -31.4159260208000

x66 = -25.1327407506000

x67 = 6.28318500094000

x68 = 69.1150379888000

x69 = -12.5663710890000

x70 = -56.5486674686000

x71 = -43.9822971745000

x72 = 94.2477796094000

x73 = -100.530964626000

x74 = -56.5486682427000

x75 = 50.2654824463000

x76 = 43.9822966661000

x77 = -31.4159267158000

x78 = -94.2477797298000

x79 = -25.1327415297000

x80 = 81.6814091897000

x81 = 100.530965157000

x82 = -6.28318512755000

x83 = -94.2477801172000

x84 = 43.9822971695000

x85 = -87.9645943586000

x86 = -62.8318555720000

x87 = -43.9822976246000

x88 = 87.9645943359000

x89 = 18.8495564032000

x90 = 18.8495556276000

x91 = 81.6814084860000

График