cos(t)=1 (уравнение)

Найду корень уравнения: cos(t)=1

Вы ввели

cos(t) = 1

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

Подробное решение

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

Сумма и произведение корней

сумма

0 + 0 + 2*pi

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

=

2*pi

$$2 \pi$$

произведение

1*0*2*pi

$$1 \cdot 0 \cdot 2 \pi$$

=

0

$$0$$

Быстрый ответ

t1 = 0

$$t_{1} = 0$$

t2 = 2*pi

$$t_{2} = 2 \pi$$

Численный ответ

t1 = -12.5663703112531

t2 = -43.9822976246252

t3 = 56.5486668532011

t4 = 56.5486682809363

t5 = 87.964594335905

t6 = 6.28318579821791

t7 = 12.5663704426592

t8 = 12.5663710110881

t9 = -18.8495563230046

t10 = 87.9645938121814

t11 = 50.2654821322586

t12 = 37.6991113348642

t13 = -62.831852673202

t14 = 62.8318527849002

t15 = -87.964593928489

t16 = -43.9822971745392

t17 = 6.28318626747926

t18 = -31.4159267157965

t19 = -25.1327415297174

t20 = 37.6991120311338

t21 = -50.265482641087

t22 = -75.3982238741744

t23 = -6.28318555849548

t24 = 100.530964759815

t25 = 94.2477800892631

t26 = 81.6814084860076

t27 = -31.4159260208155

t28 = 81.6814085860518

t29 = -43.9822967932182

t30 = 50.2654829439723

t31 = 100.530965157364

t32 = -6.2831858160515

t33 = -81.6814075578313

t34 = -56.5486674685864

t35 = -94.2477794452815

t36 = 94.2477796093523

t37 = -69.1150379045123

t38 = 37.6991115173992

t39 = 75.3982232188727

t40 = 50.2654824463392

t41 = 6.28318500093652

t42 = -75.3982231720141

t43 = -94.2477801171671

t44 = -37.6991121287155

t45 = 12.5663711301703

t46 = 25.1327408328211

t47 = -94.2477797298079

t48 = -50.2654822863493

t49 = -62.8318534787248

t50 = -4.79511606158654e-7

t51 = -18.8495552124105

t52 = 0.0

t53 = 18.8495564031971

t54 = -18.8495555173448

t55 = -100.530964626003

t56 = 43.9822966661001

t57 = -56.5486682426592

t58 = 62.8318535568358

t59 = 87.9645946044253

t60 = -31.4159260507536

t61 = 56.5486680806249

t62 = -81.6814092565354

t63 = -81.6814084945807

t64 = 43.9822974733639

t65 = -87.9645947692094

t66 = -37.6991113479743

t67 = 31.4159260648825

t68 = -50.2654829667315

t69 = 43.9822971694647

t70 = -25.1327407505866

t71 = -75.3982231045728

t72 = -6.2831851275477

t73 = 3.40772025642919e-7

t74 = -69.1150386869085

t75 = 69.115038794053

t76 = 81.6814091897036

t77 = 6.28318528420851

t78 = -87.9645943586158

t79 = 69.1150379887504

t80 = -12.5663710889626

t81 = -81.6814090382277

t82 = 31.4159268459961

t83 = -37.6991118772631

t84 = 25.1327416384075

t85 = 18.8495556275525

t86 = 75.3982240031607

t87 = 56.5486676011951

t88 = 94.2477792651059

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