cos(y)=1 (уравнение)

Найду корень уравнения: cos(y)=1

Вы ввели

cos(y) = 1

$$\cos{\left(y \right)} = 1$$

Подробное решение

Дано уравнение
$$\cos{\left(y \right)} = 1$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$y = \pi n + \operatorname{acos}{\left(1 \right)}$$
$$y = \pi n - \pi + \operatorname{acos}{\left(1 \right)}$$
Или
$$y = \pi n$$
$$y = \pi n - \pi$$
, где n - любое целое число

Быстрый ответ

y1 = 0

$$y_{1} = 0$$

y2 = 2*pi

$$y_{2} = 2 \pi$$

Сумма и произведение корней

сумма

2*pi

$$2 \pi$$

=

2*pi

$$2 \pi$$

произведение

0*2*pi

$$0 \cdot 2 \pi$$

=

0

$$0$$

Численный ответ

y1 = 6.28318579821791

y2 = -69.1150379045123

y3 = -50.2654829667315

y4 = -37.6991121287155

y5 = 100.530964759815

y6 = 100.530965157364

y7 = -12.5663703112531

y8 = -75.3982231045728

y9 = -43.9822967932182

y10 = 6.28318500093652

y11 = 37.6991113348642

y12 = 62.8318527849002

y13 = 81.6814084860076

y14 = -81.6814092565354

y15 = -75.3982231720141

y16 = 12.5663710110881

y17 = -25.1327415297174

y18 = -81.6814075578313

y19 = -25.1327407505866

y20 = -56.5486674685864

y21 = 81.6814091897036

y22 = 69.115038794053

y23 = 12.5663711301703

y24 = -6.28318555849548

y25 = 50.2654821322586

y26 = -56.5486682426592

y27 = -75.3982238741744

y28 = 81.6814085860518

y29 = -6.2831851275477

y30 = -94.2477801171671

y31 = 31.4159260648825

y32 = 87.9645938121814

y33 = 0.0

y34 = 87.9645946044253

y35 = 50.2654824463392

y36 = -50.265482641087

y37 = -4.79511606158654e-7

y38 = -87.9645947692094

y39 = -87.964593928489

y40 = 18.8495556275525

y41 = 18.8495564031971

y42 = 3.40772025642919e-7

y43 = -31.4159267157965

y44 = 87.964594335905

y45 = 75.3982232188727

y46 = 56.5486680806249

y47 = 6.28318626747926

y48 = 94.2477792651059

y49 = -12.5663710889626

y50 = -37.6991113479743

y51 = -62.8318534787248

y52 = 50.2654829439723

y53 = 56.5486676011951

y54 = 62.8318535568358

y55 = 43.9822974733639

y56 = -18.8495563230046

y57 = 25.1327416384075

y58 = -50.2654822863493

y59 = 56.5486682809363

y60 = -69.1150386869085

y61 = -81.6814090382277

y62 = 43.9822966661001

y63 = 94.2477796093523

y64 = -94.2477794452815

y65 = 69.1150379887504

y66 = 43.9822971694647

y67 = -94.2477797298079

y68 = 75.3982240031607

y69 = 12.5663704426592

y70 = -31.4159260208155

y71 = 94.2477800892631

y72 = 6.28318528420851

y73 = -100.530964626003

y74 = 25.1327408328211

y75 = 31.4159268459961

y76 = -31.4159260507536

y77 = -6.2831858160515

y78 = -43.9822971745392

y79 = -87.9645943586158

y80 = -62.831852673202

y81 = -18.8495555173448

y82 = 56.5486668532011

y83 = -18.8495552124105

y84 = -43.9822976246252

y85 = -81.6814084945807

y86 = -37.6991118772631

y87 = 37.6991115173992

y88 = 37.6991120311338

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