cos(x)=-1 (уравнение)

Найду корень уравнения: cos(x)=-1

Вы ввели

[LaTeX]

cos(x) = -1

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

Подробное решение

[LaTeX]

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

Быстрый ответ

[LaTeX]

x1 = pi

$$x_{1} = \pi$$

Численный ответ

[LaTeX]

x1 = 91.1061873718000

x2 = -53.4070745787000

x3 = 84.8230021336000

x4 = -97.3893716285000

x5 = 72.2566306985000

x6 = 59.6902599104000

x7 = 47.1238894108000

x8 = -21.9911485864000

x9 = -34.5575196658000

x10 = -72.2566308658000

x11 = -59.6902599212000

x12 = 84.8230013636000

x13 = 34.5575190219000

x14 = 15.7079629803000

x15 = 65.9734452391000

x16 = 59.6902606104000

x17 = -34.5575188899000

x18 = -47.1238893275000

x19 = -97.3893717477000

x20 = 72.2566315167000

x21 = -78.5398160473000

x22 = -59.6902606929000

x23 = 15.7079639570000

x24 = -3.14159217368000

x25 = -15.7079632966000

x26 = -91.1061872655000

x27 = -15.7079627748000

x28 = -72.2566315420000

x29 = 53.4070766554000

x30 = -47.1238901083000

x31 = 34.5575197056000

x32 = -65.9734461970000

x33 = -65.9734457649000

x34 = 97.3893725817000

x35 = 40.8407045793000

x36 = 78.5398166181000

x37 = -1127.83176319000

x38 = 15.7079627594000

x39 = -40.8407049009000

x40 = -72.2566311847000

x41 = 9.42477826738000

x42 = 15.7079634518000

x43 = 72.2566310277000

x44 = -65.9734449870000

x45 = 65.9734460391000

x46 = -9.42477752082000

x47 = -28.2743343914000

x48 = -21.9911490521000

x49 = -91.1061864815000

x50 = -84.8230012512000

x51 = -9.42477813658000

x52 = -59.6902604578000

x53 = -84.8230020565000

x54 = 97.3893717959000

x55 = -28.2743340990000

x56 = -65.9734453607000

x57 = -21.9911482261000

x58 = -53.4070745964000

x59 = 28.2743335664000

x60 = -15.7079635641000

x61 = 3.14159306054000

x62 = -9.42477744530000

x63 = 65.9734457530000

x64 = -78.5398168195000

x65 = 21.9911489073000

x66 = 91.1061865668000

x67 = 3.14159225490000

x68 = 78.5398152766000

x69 = -28.2743337069000

x70 = -3.14159295109000

x71 = 78.5398161805000

x72 = 40.8407049800000

x73 = 78.5398168562000

x74 = 53.4070754246000

x75 = 28.2743343712000

x76 = -53.4070752950000

x77 = 40.8407042062000

x78 = -40.8407040953000

x79 = 34.5575195449000

x80 = -97.3893724533000

x81 = 78.5398149750000

x82 = 9.42477748794000

x83 = 21.9911480932000

x84 = 40.8407045849000

x85 = 21.9911485852000

x86 = 47.1238902162000

x87 = -40.8407049291000

x88 = 59.6902600527000

x89 = 53.4070746419000

x90 = 28.2743338652000