cos(z)=1 (уравнение)

Найду корень уравнения: cos(z)=1

Вы ввели

cos(z) = 1

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

Подробное решение

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

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

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

z1 = 6.28318579821791

z2 = -69.1150379045123

z3 = -50.2654829667315

z4 = -37.6991121287155

z5 = 100.530964759815

z6 = 100.530965157364

z7 = -12.5663703112531

z8 = -75.3982231045728

z9 = -43.9822967932182

z10 = 6.28318500093652

z11 = 37.6991113348642

z12 = 62.8318527849002

z13 = 81.6814084860076

z14 = -81.6814092565354

z15 = -75.3982231720141

z16 = 12.5663710110881

z17 = -25.1327415297174

z18 = -81.6814075578313

z19 = -25.1327407505866

z20 = -56.5486674685864

z21 = 81.6814091897036

z22 = 69.115038794053

z23 = 12.5663711301703

z24 = -6.28318555849548

z25 = 50.2654821322586

z26 = -56.5486682426592

z27 = -75.3982238741744

z28 = 81.6814085860518

z29 = -6.2831851275477

z30 = -94.2477801171671

z31 = 31.4159260648825

z32 = 87.9645938121814

z33 = 0.0

z34 = 87.9645946044253

z35 = 50.2654824463392

z36 = -50.265482641087

z37 = -4.79511606158654e-7

z38 = -87.9645947692094

z39 = -87.964593928489

z40 = 18.8495556275525

z41 = 18.8495564031971

z42 = 3.40772025642919e-7

z43 = -31.4159267157965

z44 = 87.964594335905

z45 = 75.3982232188727

z46 = 56.5486680806249

z47 = 6.28318626747926

z48 = 94.2477792651059

z49 = -12.5663710889626

z50 = -37.6991113479743

z51 = -62.8318534787248

z52 = 50.2654829439723

z53 = 56.5486676011951

z54 = 62.8318535568358

z55 = 43.9822974733639

z56 = -18.8495563230046

z57 = 25.1327416384075

z58 = -50.2654822863493

z59 = 56.5486682809363

z60 = -69.1150386869085

z61 = -81.6814090382277

z62 = 43.9822966661001

z63 = 94.2477796093523

z64 = -94.2477794452815

z65 = 69.1150379887504

z66 = 43.9822971694647

z67 = -94.2477797298079

z68 = 75.3982240031607

z69 = 12.5663704426592

z70 = -31.4159260208155

z71 = 94.2477800892631

z72 = 6.28318528420851

z73 = -100.530964626003

z74 = 25.1327408328211

z75 = 31.4159268459961

z76 = -31.4159260507536

z77 = -6.2831858160515

z78 = -43.9822971745392

z79 = -87.9645943586158

z80 = -62.831852673202

z81 = -18.8495555173448

z82 = 56.5486668532011

z83 = -18.8495552124105

z84 = -43.9822976246252

z85 = -81.6814084945807

z86 = -37.6991118772631

z87 = 37.6991115173992

z88 = 37.6991120311338

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