cos(x)=-1 (уравнение)

Найду корень уравнения: cos(x)=-1

Вы ввели

cos(x) = -1

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

Подробное решение

Дано уравнение
$$\cos{\left(x \right)} = -1$$
- это простейшее тригонометрическое уравнение
Это уравнение преобразуется в
$$x = 2 \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$x = 2 \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
Или
$$x = 2 \pi n + \pi$$
$$x = 2 \pi n$$
, где n - любое целое число

Быстрый ответ

x_1 = pi

$$x_{1} = \pi$$

Сумма и произведение корней

сумма

pi

$$\left(\pi\right)$$

=

pi

$$\pi$$

произведение

pi

$$\left(\pi\right)$$

=

pi

$$\pi$$

Численный ответ

x1 = 3.1415922548952

x2 = 47.1238902162437

x3 = -72.2566311847166

x4 = 40.8407045848602

x5 = 65.9734457529812

x6 = -53.4070745963886

x7 = 53.407075424589

x8 = -21.9911490521325

x9 = 84.8230013636028

x10 = 21.9911480932338

x11 = -65.9734461969855

x12 = 72.2566306985

x13 = -65.9734457649277

x14 = 53.4070746418597

x15 = 84.8230021335997

x16 = 59.6902600526626

x17 = -15.7079632965989

x18 = -97.3893724533348

x19 = -40.8407049008781

x20 = -28.2743337069329

x21 = -47.1238893275319

x22 = 59.6902606104322

x23 = 15.7079627593774

x24 = 15.7079629803241

x25 = -59.6902599212271

x26 = 91.1061865667532

x27 = -9.42477744529557

x28 = -34.5575188899093

x29 = -3.14159217367683

x30 = 65.9734460390947

x31 = -59.6902604578012

x32 = -65.9734453607004

x33 = 78.5398152766482

x34 = 78.5398166181283

x35 = -97.3893716284562

x36 = 28.2743338651796

x37 = 53.4070766553897

x38 = -91.106187265474

x39 = -9.4247781365785

x40 = 65.9734452390837

x41 = -1127.83176318906

x42 = -15.707962774825

x43 = 9.42477748794163

x44 = -78.5398168194507

x45 = -28.2743340989896

x46 = 34.5575197055812

x47 = 40.8407045792514

x48 = -28.2743343914215

x49 = 47.123889410773

x50 = -3.14159295109225

x51 = 3.14159306054457

x52 = 9.42477826738203

x53 = 91.1061873718352

x54 = -53.4070745786761

x55 = 34.5575190219169

x56 = -40.8407049290801

x57 = 21.9911485852059

x58 = 78.5398168562347

x59 = -9.42477752082051

x60 = -21.9911485864417

x61 = 15.7079634518075

x62 = 40.8407042062167

x63 = 40.8407049800347

x64 = 97.3893717959212

x65 = -40.8407040952604

x66 = -78.5398160472843

x67 = -59.6902606928653

x68 = -84.8230020565447

x69 = -97.3893717476911

x70 = 78.5398161804942

x71 = -34.5575196658297

x72 = -47.1238901083229

x73 = 34.5575195449229

x74 = 21.9911489072506

x75 = 97.389372581711

x76 = -72.2566315419804

x77 = 15.707963957033

x78 = -65.9734449870253

x79 = -21.991148226056

x80 = 72.2566310277176

x81 = 28.2743335663982

x82 = 72.2566315166773

x83 = -91.1061864815274

x84 = -84.8230012511693

x85 = -72.2566308657983

x86 = -53.407075294995

x87 = 78.5398149750205

x88 = 59.6902599104079

x89 = 28.2743343711514

x90 = -15.7079635641079

График