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
$$x = 2 \pi n$$
$$x = 2 \pi n - \pi$$
, где n - любое целое число

Быстрый ответ

x_1 = 0

$$x_{1} = 0$$

x_2 = 2*pi

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

Сумма и произведение корней

сумма

0 + 2*pi

$$\left(0\right) + \left(2 \pi\right)$$

=

2*pi

$$2 \pi$$

произведение

0 * 2*pi

$$\left(0\right) * \left(2 \pi\right)$$

=

0

$$0$$

Численный ответ

x1 = -6.28318555849548

x2 = 56.5486680806249

x3 = -18.8495552124105

x4 = 100.530964759815

x5 = -18.8495555173448

x6 = 56.5486682809363

x7 = 75.3982240031607

x8 = 37.6991120311338

x9 = -87.964593928489

x10 = -81.6814075578313

x11 = -94.2477801171671

x12 = 6.28318626747926

x13 = 87.964594335905

x14 = 94.2477796093523

x15 = 25.1327408328211

x16 = 6.28318579821791

x17 = 37.6991113348642

x18 = -25.1327407505866

x19 = 62.8318527849002

x20 = 56.5486668532011

x21 = 81.6814085860518

x22 = 25.1327416384075

x23 = -81.6814084945807

x24 = -94.2477794452815

x25 = -37.6991118772631

x26 = 50.2654824463392

x27 = 87.9645938121814

x28 = -81.6814092565354

x29 = 6.28318528420851

x30 = -50.265482641087

x31 = 31.4159268459961

x32 = -12.5663710889626

x33 = 43.9822966661001

x34 = 75.3982232188727

x35 = 43.9822971694647

x36 = -87.9645947692094

x37 = -56.5486682426592

x38 = 43.9822974733639

x39 = 94.2477800892631

x40 = 94.2477792651059

x41 = -43.9822976246252

x42 = 6.28318500093652

x43 = 81.6814091897036

x44 = -43.9822971745392

x45 = -4.79511606158654e-7

x46 = -62.8318534787248

x47 = -75.3982231720141

x48 = 69.115038794053

x49 = 12.5663704426592

x50 = -87.9645943586158

x51 = -62.831852673202

x52 = -31.4159260507536

x53 = -31.4159267157965

x54 = -6.2831858160515

x55 = -100.530964626003

x56 = -31.4159260208155

x57 = 37.6991115173992

x58 = -50.2654829667315

x59 = 18.8495564031971

x60 = 12.5663710110881

x61 = -75.3982238741744

x62 = -69.1150379045123

x63 = 3.40772025642919e-7

x64 = -56.5486674685864

x65 = -37.6991121287155

x66 = -81.6814090382277

x67 = 50.2654829439723

x68 = 69.1150379887504

x69 = -43.9822967932182

x70 = 50.2654821322586

x71 = 18.8495556275525

x72 = -75.3982231045728

x73 = -37.6991113479743

x74 = 81.6814084860076

x75 = -6.2831851275477

x76 = -12.5663703112531

x77 = -18.8495563230046

x78 = -50.2654822863493

x79 = 0.0

x80 = -94.2477797298079

x81 = 56.5486676011951

x82 = -69.1150386869085

x83 = -25.1327415297174

x84 = 62.8318535568358

x85 = 87.9645946044253

x86 = 100.530965157364

x87 = 31.4159260648825

x88 = 12.5663711301703

График