cos(z)-1 = 0 (уравнение)

Найду корень уравнения: cos(z)-1 = 0

Вы ввели

cos(z) - 1 = 0

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

Подробное решение

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

Перенесём -1 в правую часть ур-ния

с изменением знака при -1

Получим:
$$\cos{\left(z \right)} = 1$$
Это ур-ние преобразуется в
$$z = \pi n + \operatorname{acos}{\left(1 \right)}$$
$$z = \pi n - \pi + \operatorname{acos}{\left(1 \right)}$$
Или
$$z = \pi n$$
$$z = \pi n - \pi$$
, где n - любое целое число

Быстрый ответ

z1 = 0

$$z_{1} = 0$$

z2 = 2*pi

$$z_{2} = 2 \pi$$

Численный ответ

z1 = 6.28318528420851

z2 = 75.3982232188727

z3 = -4.79511606158654e-7

z4 = -18.8495555173448

z5 = -6.28318555849548

z6 = -81.6814084945807

z7 = 31.4159260648825

z8 = -87.9645947692094

z9 = -43.9822967932182

z10 = 56.5486668532011

z11 = 43.9822966661001

z12 = -6.2831851275477

z13 = -12.5663703112531

z14 = 6.28318500093652

z15 = -75.3982238741744

z16 = -50.2654829667315

z17 = -87.964593928489

z18 = 6.28318626747926

z19 = 25.1327408328211

z20 = 94.2477796093523

z21 = 62.8318527849002

z22 = -81.6814075578313

z23 = -94.2477797298079

z24 = -94.2477794452815

z25 = -31.4159260507536

z26 = -62.831852673202

z27 = 100.530965157364

z28 = -43.9822971745392

z29 = 50.2654829439723

z30 = 43.9822974733639

z31 = 37.6991120311338

z32 = 37.6991113348642

z33 = -37.6991121287155

z34 = 69.1150379887504

z35 = 87.9645938121814

z36 = -94.2477801171671

z37 = -31.4159267157965

z38 = -56.5486674685864

z39 = 3.40772025642919e-7

z40 = -87.9645943586158

z41 = -75.3982231045728

z42 = 56.5486682809363

z43 = 81.6814084860076

z44 = 75.3982240031607

z45 = -37.6991113479743

z46 = 69.115038794053

z47 = 87.964594335905

z48 = -75.3982231720141

z49 = 100.530964759815

z50 = 81.6814085860518

z51 = -6.2831858160515

z52 = -18.8495563230046

z53 = -56.5486682426592

z54 = -37.6991118772631

z55 = -43.9822976246252

z56 = 50.2654824463392

z57 = 6.28318579821791

z58 = -50.265482641087

z59 = -50.2654822863493

z60 = 31.4159268459961

z61 = 12.5663710110881

z62 = -31.4159260208155

z63 = 94.2477800892631

z64 = 94.2477792651059

z65 = 43.9822971694647

z66 = -25.1327415297174

z67 = -18.8495552124105

z68 = 18.8495564031971

z69 = 37.6991115173992

z70 = 62.8318535568358

z71 = -62.8318534787248

z72 = 0.0

z73 = 56.5486680806249

z74 = 50.2654821322586

z75 = 25.1327416384075

z76 = -12.5663710889626

z77 = -69.1150379045123

z78 = -81.6814090382277

z79 = 56.5486676011951

z80 = 12.5663711301703

z81 = -81.6814092565354

z82 = 81.6814091897036

z83 = 12.5663704426592

z84 = 87.9645946044253

z85 = -25.1327407505866

z86 = -69.1150386869085

z87 = -100.530964626003

z88 = 18.8495556275525

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