sin(x + 2) = 1 (уравнение)

Найду корень уравнения: sin(x + 2) = 1

Вы ввели

sin(x + 2) = 1

$$\sin{\left(x + 2 \right)} = 1$$

Подробное решение

Дано уравнение
$$\sin{\left(x + 2 \right)} = 1$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x + 2 = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$x + 2 = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
Или
$$x + 2 = 2 \pi n + \frac{\pi}{2}$$
$$x + 2 = 2 \pi n + \frac{\pi}{2}$$
, где n - любое целое число
Перенесём
$$2$$
в правую часть ур-ния
с противоположным знаком, итого:
$$x = 2 \pi n - 2 + \frac{\pi}{2}$$
$$x = 2 \pi n - 2 + \frac{\pi}{2}$$

Быстрый ответ

          pi
x1 = -2 + --
          2 

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

Численный ответ

x1 = -50.6946865760795

x2 = 68.6858352127237

x3 = 68.6858358251975

x4 = 18.4203527610188

x5 = -69.5442420547782

x6 = 24.703537322248

x7 = 3015.49974516717

x8 = -25.5619449492902

x9 = -75.8274277616689

x10 = 24.7035387715281

x11 = 100.101760799573

x12 = -56.9778717966574

x13 = -100.960168151344

x14 = 93.8185760629547

x15 = -88.3937988139119

x16 = -63.2610562447228

x17 = 24.7035380604159

x18 = -0.429202300459832

x19 = -25.5619450115115

x20 = -75.8274269047688

x21 = 18.4203521477756

x22 = -50.6946857788076

x23 = -31.8451306226524

x24 = 62.4026499096387

x25 = 12.1371665172699

x26 = -44.4115005850814

x27 = 43.553093730794

x28 = -94.6769829355125

x29 = 56.119464520069

x30 = 81.252204888767

x31 = 74.9690196732095

x32 = -88.3937984749131

x33 = -38.1283153448593

x34 = -82.1106124650157

x35 = -6.71238862219396

x36 = -77666.8827844698

x37 = 37.2699085343272

x38 = -75.8274272798455

x39 = 100.101762273223

x40 = 18.420352160156

x41 = 87.5353901350773

x42 = -63.2610555612794

x43 = 93.8185759975842

x44 = -63.2610569934486

x45 = 5.85398174307326

x46 = -38.1283154173375

x47 = -56.9778709962906

x48 = -31.8451297624452

x49 = -12.9955746401247

x50 = -6.71238942125338

x51 = 30.9867225164981

x52 = -25.5619443878998

x53 = 62.4026493072124

x54 = 12.1371671100222

x55 = -82.1106131679426

x56 = 87.5353893728458

x57 = 56.1194636580315

x58 = -0.429204748859773

x59 = -31.8451300954883

x60 = 30.9867233134552

x61 = 93.8185764110282

x62 = 49.8362789031518

x63 = -44.4115013226904

x64 = -19.2787583315643

x65 = -44.4115017818136

x66 = 49.8362782775539

x67 = -88.3937977431483

x68 = 43.5530922954328

x69 = -12.9955738413568

x70 = 56.1194643979608

x71 = 49.8362788867584

x72 = 93.8185754266891

x73 = 74.9690204681432

x74 = 12.1371673791846

x75 = 5.85398177249874

x76 = -19.2787598356363

x77 = 43.5530929823099

x78 = -69.5442421706656

x79 = 37.2699077336963

x80 = -19.2787590920677

x81 = -0.429204170280978

x82 = 5.85398112872719

x83 = -38.1283160197768

x84 = -69.5442415371049

x85 = -94.6769837307794

x86 = 81.2522056907544

x87 = -0.429203427101064

x88 = 62.4026492731727

x89 = 68.6858344802043

x90 = -82.1106125781572

x91 = 87.535390888605

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