4+6cosx=-2 (уравнение)

Найду корень уравнения: 4+6cosx=-2

Вы ввели

4 + 6*cos(x) = -2

$$6 \cos{\left(x \right)} + 4 = -2$$

Подробное решение

Дано уравнение
$$6 \cos{\left(x \right)} + 4 = -2$$
- это простейшее тригонометрическое ур-ние

Разделим обе части ур-ния на 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
$$x = \pi n + \pi$$
$$x = \pi n$$
, где n - любое целое число

Быстрый ответ

x1 = pi

$$x_{1} = \pi$$

Сумма и произведение корней

сумма

0 + pi

$$0 + \pi$$

=

pi

$$\pi$$

произведение

1*pi

$$1 \pi$$

=

pi

$$\pi$$

Численный ответ

x1 = -28.2743340989896

x2 = 91.1061865667532

x3 = 9.42477826738203

x4 = 59.6902599104079

x5 = -53.407075294995

x6 = 53.4070746418597

x7 = 53.407075424589

x8 = 91.1061873718352

x9 = 84.8230013636028

x10 = 78.5398161804942

x11 = 59.6902606104322

x12 = -9.4247781365785

x13 = 15.7079627593774

x14 = 65.9734460390947

x15 = -3.14159295109225

x16 = -97.3893716284562

x17 = 78.5398166181283

x18 = -34.5575196658297

x19 = 65.9734452390837

x20 = 21.9911480932338

x21 = 78.5398168562347

x22 = 15.7079634518075

x23 = -47.1238901083229

x24 = -59.6902604578012

x25 = 65.9734457529812

x26 = 47.123889410773

x27 = 40.8407045792514

x28 = 21.9911485852059

x29 = -21.9911490521325

x30 = -59.6902606928653

x31 = -65.9734461969855

x32 = 40.8407045848602

x33 = -15.707962774825

x34 = -91.1061864815274

x35 = 34.5575195449229

x36 = -28.2743343914215

x37 = -72.2566315419804

x38 = 59.6902600526626

x39 = -15.7079632965989

x40 = 97.3893717959212

x41 = -84.8230012511693

x42 = -72.2566311847166

x43 = -53.4070745963886

x44 = 9.42477748794163

x45 = -59.6902599212271

x46 = 28.2743335663982

x47 = 3.1415922548952

x48 = 72.2566310277176

x49 = -84.8230020565447

x50 = -34.5575188899093

x51 = -15.7079635641079

x52 = -78.5398160472843

x53 = -65.9734457649277

x54 = 3.14159306054457

x55 = 34.5575197055812

x56 = -53.4070745786761

x57 = 47.1238902162437

x58 = 28.2743343711514

x59 = -97.3893724533348

x60 = -47.1238893275319

x61 = -78.5398168194507

x62 = 72.2566315166773

x63 = 40.8407042062167

x64 = -21.991148226056

x65 = -3.14159217367683

x66 = -9.42477752082051

x67 = -21.9911485864417

x68 = 28.2743338651796

x69 = 21.9911489072506

x70 = -97.3893717476911

x71 = 84.8230021335997

x72 = -72.2566308657983

x73 = 72.2566306985

x74 = 15.7079629803241

x75 = -40.8407049290801

x76 = -9.42477744529557

x77 = -91.106187265474

x78 = -1127.83176318906

x79 = -40.8407040952604

x80 = 34.5575190219169

x81 = -28.2743337069329

x82 = 97.389372581711

x83 = -65.9734453607004

x84 = -40.8407049008781

x85 = 40.8407049800347

График