cos(x-1)=1 (уравнение)

Найду корень уравнения: cos(x-1)=1

Вы ввели

cos(x - 1) = 1

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

Подробное решение

Дано уравнение
$$\cos{\left(x - 1 \right)} = 1$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x - 1 = \pi n + \operatorname{acos}{\left(1 \right)}$$
$$x - 1 = \pi n - \pi + \operatorname{acos}{\left(1 \right)}$$
Или
$$x - 1 = \pi n$$
$$x - 1 = \pi n - \pi$$
, где n - любое целое число
Перенесём
$$-1$$
в правую часть ур-ния
с противоположным знаком, итого:
$$x = \pi n + 1$$
$$x = \pi n - \pi + 1$$

Быстрый ответ

x1 = 1

$$x_{1} = 1$$

x2 = 1 + 2*pi

$$x_{2} = 1 + 2 \pi$$

Численный ответ

x1 = 7.28318486747256

x2 = -61.8318534770036

x3 = -93.2477791093241

x4 = -30.4159270346054

x5 = 51.2654820224528

x6 = -55.5486677788

x7 = 26.1327416644778

x8 = 76.3982241967455

x9 = 70.1150387480058

x10 = 76.3982235519432

x11 = 57.5486672704854

x12 = -55.5486672497774

x13 = 70.115038805167

x14 = -11.5663701006429

x15 = 82.6814095007727

x16 = 26.132740802384

x17 = -30.4159275239453

x18 = 0.999999649022634

x19 = -74.3982245556249

x20 = 76.3982235970974

x21 = -99.5309643991898

x22 = -74.3982234536233

x23 = -11.5663707217028

x24 = -5.28318480393057

x25 = 88.9645947567955

x26 = -74.3982241868753

x27 = -49.2654819565432

x28 = 19.8495560513666

x29 = -61.8318526191255

x30 = -17.8495554769708

x31 = 7.28318566694506

x32 = 44.9822968056677

x33 = 88.964593962401

x34 = 51.2654828234429

x35 = 82.6814087697046

x36 = -61.8318529849279

x37 = -68.1150388809337

x38 = 38.6991116117304

x39 = -80.6814094421164

x40 = -93.2477787150689

x41 = -80.681408426653

x42 = -24.1327417326819

x43 = -86.9645938625694

x44 = 32.4159264376201

x45 = -36.6991114896456

x46 = 95.2477799798464

x47 = -42.9822975075327

x48 = -99.5309650399519

x49 = -991.74327913164

x50 = -11.5663706722839

x51 = 70.1150379433459

x52 = 13.5663708623807

x53 = -30.4159262955782

x54 = -68.1150381847295

x55 = -86.9645946639967

x56 = 13.5663695105623

x57 = 19.8495560331216

x58 = 1.00000044735768

x59 = 82.6814100849983

x60 = 38.6991123485095

x61 = -5.28318554617199

x62 = -49.2654812337568

x63 = 63.8318531648007

x64 = -93.2477798617602

x65 = 32.4159270482023

x66 = 63.8318525648093

x67 = -42.9822967075459

x68 = 32.4159264380897

x69 = -5.28318404827002

x70 = 19.8495554159042

x71 = -49.2654827040023

x72 = 13.5663701178499

x73 = -36.6991122873847

x74 = -17.849556337754

x75 = 44.9822976021389

x76 = 63.8318531931265

x77 = -24.1327411271999

x78 = 101.530964423296

x79 = -24.1327410652463

x80 = -68.1150382879088

x81 = 26.1327414173968

x82 = -80.6814086463278

x83 = 95.2477791775533

x84 = 57.5486680202546

x85 = -17.8495557968376

x86 = 38.6991130379306

x87 = 57.5486665604277

x88 = -55.5486678808888

График