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 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

x1 = pi

$$x_{1} = \pi$$

Численный ответ

x1 = -40.8407049008781

x2 = 78.5398166181283

x3 = 40.8407045792514

x4 = 40.8407049800347

x5 = -34.5575196658297

x6 = 28.2743338651796

x7 = -53.4070745963886

x8 = 28.2743335663982

x9 = -9.42477744529557

x10 = 21.9911485852059

x11 = 40.8407045848602

x12 = -15.7079632965989

x13 = 97.389372581711

x14 = -40.8407040952604

x15 = 65.9734457529812

x16 = 78.5398152766482

x17 = 28.2743343711514

x18 = -84.8230012511693

x19 = -28.2743337069329

x20 = -40.8407049290801

x21 = 34.5575197055812

x22 = -78.5398168194507

x23 = 15.707963957033

x24 = 9.42477748794163

x25 = -72.2566308657983

x26 = 59.6902599104079

x27 = 47.1238902162437

x28 = 3.14159306054457

x29 = -59.6902604578012

x30 = 59.6902606104322

x31 = 65.9734452390837

x32 = -47.1238893275319

x33 = -59.6902599212271

x34 = 21.9911480932338

x35 = -59.6902606928653

x36 = 65.9734460390947

x37 = -78.5398160472843

x38 = 21.9911489072506

x39 = -1127.83176318906

x40 = 84.8230013636028

x41 = 40.8407042062167

x42 = -34.5575188899093

x43 = 91.1061873718352

x44 = -3.14159217367683

x45 = 53.4070746418597

x46 = -84.8230020565447

x47 = -97.3893716284562

x48 = -91.106187265474

x49 = -65.9734461969855

x50 = 53.4070766553897

x51 = -47.1238901083229

x52 = 72.2566310277176

x53 = 78.5398168562347

x54 = -3.14159295109225

x55 = -65.9734449870253

x56 = 84.8230021335997

x57 = 72.2566315166773

x58 = 53.407075424589

x59 = -72.2566311847166

x60 = -15.707962774825

x61 = 91.1061865667532

x62 = 59.6902600526626

x63 = -15.7079635641079

x64 = 78.5398149750205

x65 = 34.5575195449229

x66 = -65.9734453607004

x67 = -72.2566315419804

x68 = 15.7079629803241

x69 = -28.2743340989896

x70 = -97.3893724533348

x71 = -97.3893717476911

x72 = 9.42477826738203

x73 = 78.5398161804942

x74 = -53.4070745786761

x75 = -21.9911490521325

x76 = -53.407075294995

x77 = 97.3893717959212

x78 = -28.2743343914215

x79 = -65.9734457649277

x80 = 47.123889410773

x81 = -21.991148226056

x82 = -91.1061864815274

x83 = -9.4247781365785

x84 = 34.5575190219169

x85 = 15.7079627593774

x86 = -21.9911485864417

x87 = 3.1415922548952

x88 = 72.2566306985

x89 = 15.7079634518075

x90 = -9.42477752082051

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