cos x/2=1/2 (уравнение)

Найду корень уравнения: cos x/2=1/2

Вы ввели

cos(x)      
------ = 1/2
  2         

$$\frac{\cos{\left(x \right)}}{2} = \frac{1}{2}$$

Подробное решение

Дано уравнение
$$\frac{\cos{\left(x \right)}}{2} = \frac{1}{2}$$
- это простейшее тригонометрическое ур-ние

Разделим обе части ур-ния на 1/2

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 = -12.5663710889626

x2 = 31.4159260648825

x3 = 56.5486682809363

x4 = -31.4159260208155

x5 = 56.5486676011951

x6 = -56.5486682426592

x7 = 31.4159268459961

x8 = -12.5663703112531

x9 = -87.9645947692094

x10 = 18.8495564031971

x11 = 18.8495556275525

x12 = 50.2654821322586

x13 = -87.964593928489

x14 = 43.9822971694647

x15 = 6.28318528420851

x16 = -81.6814075578313

x17 = -94.2477797298079

x18 = 81.6814085860518

x19 = 25.1327408328211

x20 = 3.40772025642919e-7

x21 = -6.28318555849548

x22 = -25.1327415297174

x23 = 37.6991115173992

x24 = 75.3982232188727

x25 = -81.6814084945807

x26 = 0.0

x27 = 12.5663711301703

x28 = -94.2477794452815

x29 = -75.3982231720141

x30 = 50.2654829439723

x31 = 6.28318579821791

x32 = -37.6991113479743

x33 = -50.2654829667315

x34 = 56.5486668532011

x35 = -6.2831851275477

x36 = 50.2654824463392

x37 = -81.6814107940317

x38 = 6.28318500093652

x39 = -81.6814092565354

x40 = -87.9645943586158

x41 = 25.1327416384075

x42 = 37.6991120311338

x43 = -37.6991121287155

x44 = 69.115038794053

x45 = -25.1327407505866

x46 = -69.1150379045123

x47 = -62.8318534787248

x48 = 12.5663710110881

x49 = -43.9822976246252

x50 = -31.4159267157965

x51 = 94.2477792651059

x52 = -56.5486674685864

x53 = 12.5663704426592

x54 = -62.831852673202

x55 = -18.8495555173448

x56 = 43.9822974733639

x57 = 69.1150379887504

x58 = 37.6991113348642

x59 = 87.9645938121814

x60 = -81.6814090382277

x61 = 81.6814091897036

x62 = -43.9822971745392

x63 = -50.2654822863493

x64 = -18.8495552124105

x65 = 75.3982240031607

x66 = -6.2831858160515

x67 = 62.8318527849002

x68 = 62.8318535568358

x69 = -37.6991118772631

x70 = -75.3982231045728

x71 = 94.2477800892631

x72 = -18.8495563230046

x73 = -69.1150386869085

x74 = 100.530964759815

x75 = -50.265482641087

x76 = 94.2477796093523

x77 = -100.530964626003

x78 = -75.3982238741744

x79 = 100.530965157364

x80 = -4.79511606158654e-7

x81 = 56.5486680806249

x82 = -43.9822967932182

x83 = 87.9645946044253

x84 = 87.964594335905

x85 = -94.2477801171671

x86 = 6.28318626747926

x87 = -31.4159260507536

x88 = 43.9822966661001

x89 = 81.6814084860076

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