cos 3x=1 (уравнение)

Найду корень уравнения: cos 3x=1

Вы ввели

cos(3*x) = 1

$$\cos{\left(3 x \right)} = 1$$

Подробное решение

Дано уравнение
$$\cos{\left(3 x \right)} = 1$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$3 x = \pi n + \operatorname{acos}{\left(1 \right)}$$
$$3 x = \pi n - \pi + \operatorname{acos}{\left(1 \right)}$$
Или
$$3 x = \pi n$$
$$3 x = \pi n - \pi$$
, где n - любое целое число
Разделим обе части полученного ур-ния на
$$3$$
получим ответ:
$$x_{1} = \frac{\pi n}{3}$$
$$x_{2} = \frac{\pi n}{3} - \frac{\pi}{3}$$

Быстрый ответ

x1 = 0

$$x_{1} = 0$$

     2*pi
x2 = ----
      3  

$$x_{2} = \frac{2 \pi}{3}$$

Численный ответ

x1 = -85.8701992330716

x2 = -83.7758040750549

x3 = -67.0206429069494

x4 = -14.6607657359666

x5 = 161.26842260871

x6 = -71.2094336231345

x7 = 41.8879021332297

x8 = 54.4542725528033

x9 = -79.5870139829524

x10 = -50.2654823108466

x11 = 37.6991113434848

x12 = -48.1710872415186

x13 = -441575121.501282

x14 = -52.3598773942745

x15 = 98.4365697102782

x16 = 94.2477796093527

x17 = -29.3215315957413

x18 = 20.943951173337

x19 = 43.9822971693627

x20 = -58.6430628407171

x21 = -8.37758024222806

x22 = 73.3038284231128

x23 = 92.1533846197794

x24 = -77.4926189173344

x25 = -4.18879008400713

x26 = 52.3598774932141

x27 = -98.4365696440843

x28 = 50.2654824463613

x29 = -6.28318515591421

x30 = 35.6047169091797

x31 = 14.6607655553299

x32 = 39.7935070730078

x33 = 8.37758033410453

x34 = -60.7374583801782

x35 = 10.4719753957034

x36 = 96.3421746527392

x37 = 75.3982237804204

x38 = 62.8318529572331

x39 = -27.2271364801679

x40 = -12.5663704869723

x41 = 37.6991119985219

x42 = 90.0589892608483

x43 = 833.569250843322

x44 = 48.1710874363538

x45 = -35.6047172724316

x46 = -96.3421745469196

x47 = -56.548667625889

x48 = 18.8495558248099

x49 = 6.28318528432449

x50 = 98.4365698045197

x51 = -35.604716824613

x52 = 56.5486676233132

x53 = -54.4542724952377

x54 = 87.9645943355056

x55 = -20.9439509761532

x56 = 12.5663704684363

x57 = 29.3215313536198

x58 = -69.115038422181

x59 = -92.1533843995496

x60 = 64.9262482454786

x61 = -75.3982238398266

x62 = -41.8879015909008

x63 = -69.1150389029232

x64 = -94.2477794662643

x65 = 100.530964778649

x66 = 77.4926189449124

x67 = -33.5103217610131

x68 = -43.9822971746469

x69 = -2.09439502690814

x70 = -90.0589893499645

x71 = 79.5870140598991

x72 = 33.5103217994214

x73 = 58.6430627071515

x74 = 60.7374578111775

x75 = 85.8701992926441

x76 = -87.964594359041

x77 = -16.755160961199

x78 = -10.4719753473561

x79 = 46.076691966571

x80 = -37.6991118769598

x81 = -100.530964767287

x82 = 31.4159266487811

x83 = 83.7758042295396

x84 = 4.18879026156543

x85 = -39.7935069082666

x86 = -46.0766921879046

x87 = 0.0

x88 = -23.0383458748855

x89 = -81.6814090376256

x90 = 81.6814091524463

x91 = -25.1327413022544

x92 = 16.7551606647126

x93 = -73.3038287459741

x94 = -31.4159266859544

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