cos(x/10)=(-1) (уравнение)

Найду корень уравнения: cos(x/10)=(-1)

Вы ввели

   /x \     
cos|--| = -1
   \10/     

$$\cos{\left(\frac{x}{10} \right)} = -1$$

Подробное решение

Дано уравнение
$$\cos{\left(\frac{x}{10} \right)} = -1$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$\frac{x}{10} = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$\frac{x}{10} = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
Или
$$\frac{x}{10} = \pi n + \pi$$
$$\frac{x}{10} = \pi n$$
, где n - любое целое число
Разделим обе части полученного ур-ния на
$$\frac{1}{10}$$
получим ответ:
$$x_{1} = 10 \pi n + 10 \pi$$
$$x_{2} = 10 \pi n$$

Быстрый ответ

x1 = 10*pi

$$x_{1} = 10 \pi$$

Сумма и произведение корней

сумма

0 + 10*pi

$$0 + 10 \pi$$

=

10*pi

$$10 \pi$$

произведение

1*10*pi

$$1 \cdot 10 \pi$$

=

10*pi

$$10 \pi$$

Численный ответ

x1 = 94.2477796093523

x2 = 94.2477746029301

x3 = 94.2477822142057

x4 = -94.2477746882509

x5 = 219.911484788897

x6 = -31.4159258213572

x7 = -31.4159240670336

x8 = 31.4159264819409

x9 = -31.4159214677082

x10 = 31.415926864804

x11 = 31.4159316768682

x12 = 31.4159231691659

x13 = -31.4159220186868

x14 = -94.2477768021143

x15 = 31.4159216594512

x16 = 94.2477761619813

x17 = 94.2477754993073

x18 = 94.2477749673357

x19 = -31.4159307437538

x20 = 31.4159316187156

x21 = -94.2477834104214

x22 = -31.41592764132

x23 = -31.4159315820512

x24 = -31.4159316795398

x25 = -31.4159314316663

x26 = -31.4159373275912

x27 = 31.415922689056

x28 = 94.2477746381247

x29 = -94.2477820876701

x30 = 94.2477744603726

x31 = -31.4159305778928

x32 = 31.4159259629405

x33 = -94.2477760518362

x34 = -94.247775406816

x35 = -94.2477744554246

x36 = 31.4159279130581

x37 = -31.4159232808845

x38 = -94.24777763122

x39 = -94.2477794427715

x40 = 31.4159286562283

x41 = 94.2477786544766

x42 = -94.2477745607842

x43 = -219.91148696319

x44 = 31.4159356662588

x45 = -94.247781233997

x46 = -31.4159213942571

x47 = -31.4159271865461

x48 = 31.4159313691366

x49 = -31.415930100864

x50 = 31.4159308328487

x51 = 31.4159214436981

x52 = 31.4159233971644

x53 = 94.2477819810966

x54 = 31.4159210169458

x55 = -31.415924921609

x56 = 94.2477804758991

x57 = -94.2477748970819

x58 = -31.4159267192018

x59 = 94.2477777647859

x60 = 31.4159218965534

x61 = -31.4159285240524

x62 = 31.4159214161416

x63 = 31.4159294738392

x64 = -31.4159216047625

x65 = -31.4159219961718

x66 = 31.4159250581735

x67 = 94.2477769258712

x68 = -31.4159223197514

x69 = 3424.33598535044

x70 = -94.2477785146979

x71 = 94.24777723964

x72 = -31.4159283711871

x73 = -31.4159293521006

x74 = 31.4159241953233

x75 = 31.4159302083329

x76 = -31.4159234287515

x77 = -94.2477755086143

x78 = 31.4159220988039

x79 = -31.4159225887065

x80 = 31.4159313164192

x81 = 94.2477753586873

x82 = 1602.21224439001

x83 = -94.2477803350353

x84 = 31.4159304021863

x85 = 31.4159277802828

x86 = -94.2477776271124

x87 = 94.2477813694238

x88 = -31.4159312504276

x89 = -94.2477818347994

x90 = 94.2477916421512

x91 = 94.2477823126523

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