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
$$t = \pi n + \pi$$
$$t = \pi n$$
, где n - любое целое число

Быстрый ответ

t1 = pi

$$t_{1} = \pi$$

Сумма и произведение корней

сумма

0 + pi

$$0 + \pi$$

=

pi

$$\pi$$

произведение

1*pi

$$1 \pi$$

=

pi

$$\pi$$

Численный ответ

t1 = -28.2743340989896

t2 = 91.1061865667532

t3 = 9.42477826738203

t4 = 59.6902599104079

t5 = -53.407075294995

t6 = 53.4070746418597

t7 = 53.4070766553897

t8 = 53.407075424589

t9 = 91.1061873718352

t10 = 84.8230013636028

t11 = 78.5398161804942

t12 = 78.5398152766482

t13 = 59.6902606104322

t14 = -9.4247781365785

t15 = 15.7079627593774

t16 = 65.9734460390947

t17 = -3.14159295109225

t18 = -97.3893716284562

t19 = 78.5398166181283

t20 = -34.5575196658297

t21 = 65.9734452390837

t22 = 21.9911480932338

t23 = 78.5398168562347

t24 = 15.7079634518075

t25 = -47.1238901083229

t26 = -59.6902604578012

t27 = 65.9734457529812

t28 = 47.123889410773

t29 = 40.8407045792514

t30 = -21.9911490521325

t31 = -59.6902606928653

t32 = 21.9911485852059

t33 = -65.9734461969855

t34 = 40.8407045848602

t35 = -15.707962774825

t36 = -91.1061864815274

t37 = 34.5575195449229

t38 = -28.2743343914215

t39 = -72.2566315419804

t40 = 59.6902600526626

t41 = -15.7079632965989

t42 = 97.3893717959212

t43 = -65.9734449870253

t44 = -84.8230012511693

t45 = -72.2566311847166

t46 = -53.4070745963886

t47 = 9.42477748794163

t48 = -59.6902599212271

t49 = 28.2743335663982

t50 = 3.1415922548952

t51 = 72.2566310277176

t52 = -84.8230020565447

t53 = -34.5575188899093

t54 = -15.7079635641079

t55 = -78.5398160472843

t56 = -65.9734457649277

t57 = 3.14159306054457

t58 = 34.5575197055812

t59 = -53.4070745786761

t60 = 47.1238902162437

t61 = 28.2743343711514

t62 = -97.3893724533348

t63 = -47.1238893275319

t64 = -78.5398168194507

t65 = 72.2566315166773

t66 = 40.8407042062167

t67 = 15.707963957033

t68 = -21.991148226056

t69 = -3.14159217367683

t70 = -9.42477752082051

t71 = -21.9911485864417

t72 = 28.2743338651796

t73 = 21.9911489072506

t74 = -97.3893717476911

t75 = 84.8230021335997

t76 = -72.2566308657983

t77 = 72.2566306985

t78 = 15.7079629803241

t79 = -40.8407049290801

t80 = -9.42477744529557

t81 = -91.106187265474

t82 = 78.5398149750205

t83 = -1127.83176318906

t84 = -40.8407040952604

t85 = 34.5575190219169

t86 = -28.2743337069329

t87 = 97.389372581711

t88 = -65.9734453607004

t89 = -40.8407049008781

t90 = 40.8407049800347

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