3*(1 - cos(x)) = 0 (уравнение)

Найду корень уравнения: 3*(1 - cos(x)) = 0

Вы ввели

3*(1 - cos(x)) = 0

$$3 \left(1 - \cos{\left(x \right)}\right) = 0$$

Подробное решение

Дано уравнение
$$3 \left(1 - \cos{\left(x \right)}\right) = 0$$
- это простейшее тригонометрическое ур-ние

Перенесём 3 в правую часть ур-ния

с изменением знака при 3

Получим:
$$3 \left(1 - \cos{\left(x \right)}\right) - 3 = -3$$

Разделим обе части ур-ния на -3

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
$$x = \pi n$$
$$x = \pi n - \pi$$
, где n - любое целое число

Быстрый ответ

x1 = 0

$$x_{1} = 0$$

x2 = 2*pi

$$x_{2} = 2 \pi$$

Численный ответ

x1 = 6.28318528420851

x2 = 75.3982232188727

x3 = -18.8495555173448

x4 = -6.28318555849548

x5 = -81.6814084945807

x6 = 31.4159260648825

x7 = -87.9645947692094

x8 = -43.9822967932182

x9 = 56.5486668532011

x10 = 43.9822966661001

x11 = -6.2831851275477

x12 = -12.5663703112531

x13 = 6.28318500093652

x14 = -75.3982238741744

x15 = -50.2654829667315

x16 = -87.964593928489

x17 = 25.1327408328211

x18 = 94.2477796093523

x19 = 62.8318527849002

x20 = -94.2477797298079

x21 = -94.2477794452815

x22 = -31.4159260507536

x23 = -62.831852673202

x24 = 100.530965157364

x25 = -43.9822971745392

x26 = 50.2654829439723

x27 = 43.9822974733639

x28 = 37.6991120311338

x29 = 37.6991113348642

x30 = -37.6991121287155

x31 = 69.1150379887504

x32 = 87.9645938121814

x33 = -94.2477801171671

x34 = -31.4159267157965

x35 = -56.5486674685864

x36 = 3.4077202564292e-7

x37 = -4.79511606158653e-7

x38 = -87.9645943586158

x39 = -75.3982231045728

x40 = 56.5486682809363

x41 = 81.6814084860076

x42 = 75.3982240031607

x43 = -37.6991113479743

x44 = 69.115038794053

x45 = 87.964594335905

x46 = -75.3982231720141

x47 = 100.530964759815

x48 = 81.6814085860518

x49 = -6.2831858160515

x50 = -18.8495563230046

x51 = -56.5486682426592

x52 = -37.6991118772631

x53 = -43.9822976246252

x54 = 50.2654824463392

x55 = 6.28318579821791

x56 = -50.265482641087

x57 = -50.2654822863493

x58 = 31.4159268459961

x59 = 12.5663710110881

x60 = -31.4159260208155

x61 = 94.2477800892631

x62 = 94.2477792651059

x63 = 43.9822971694647

x64 = -25.1327415297174

x65 = -18.8495552124105

x66 = 18.8495564031971

x67 = 37.6991115173992

x68 = 62.8318535568358

x69 = -62.8318534787248

x70 = 0.0

x71 = 56.5486680806249

x72 = 50.2654821322586

x73 = 25.1327416384075

x74 = -12.5663710889626

x75 = -69.1150379045123

x76 = -81.6814090382277

x77 = 56.5486676011951

x78 = 12.5663711301703

x79 = -81.6814092565354

x80 = 81.6814091897036

x81 = 12.5663704426592

x82 = 87.9645946044253

x83 = -25.1327407505866

x84 = -69.1150386869085

x85 = -100.530964626003

x86 = 18.8495556275525

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