sin x=1 (уравнение)

Найду корень уравнения: sin x=1

Вы ввели

sin(x) = 1

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

Подробное решение

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

Быстрый ответ

     pi
x1 = --
     2 

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

Численный ответ

x1 = -73.8274277616689

x2 = -54.9778709962906

x3 = -92.6769837307794

x4 = -86.3937984749131

x5 = -36.1283154173375

x6 = 3017.49974516717

x7 = 39.2699085343272

x8 = -29.8451297624452

x9 = 58.1194636580315

x10 = -67.5442421706656

x11 = 26.7035387715281

x12 = -36.1283153448593

x13 = 51.8362789031518

x14 = -80.1106125781572

x15 = 14.1371671100222

x16 = -73.8274272798455

x17 = 20.4203521477756

x18 = 51.8362788867584

x19 = -23.5619450115115

x20 = -80.1106124650157

x21 = -61.2610555612794

x22 = -98.9601689530982

x23 = 95.8185764110282

x24 = -36.1283160197768

x25 = 95.8185760629547

x26 = 26.703537322248

x27 = 89.535390888605

x28 = -10.9955746401247

x29 = 20.4203527610188

x30 = 95.8185759975842

x31 = 1.57079769954017

x32 = -77664.8827844698

x33 = 95.8185754266891

x34 = -17.2787598356363

x35 = 1.57079657289894

x36 = 83.252204888767

x37 = -61.2610569934486

x38 = 32.9867233134552

x39 = 7.85398112872719

x40 = 14.1371665172699

x41 = -54.9778717966574

x42 = -42.4115013226904

x43 = -48.6946865760795

x44 = 20.420352160156

x45 = 89.5353893728458

x46 = 70.6858344802043

x47 = 14.1371673791846

x48 = -48.6946857788076

x49 = 102.101760799573

x50 = -42.4115017818136

x51 = -17.2787583315643

x52 = -67.5442420547782

x53 = 7.85398177249874

x54 = 70.6858358251975

x55 = 7.85398174307326

x56 = -61.2610562447228

x57 = 70.6858352127237

x58 = 39.2699077336963

x59 = 1.57079582971902

x60 = 58.1194643979608

x61 = 64.4026499096387

x62 = 45.5530929823099

x63 = -29.8451306226524

x64 = -42.4115005850814

x65 = -86.3937988139119

x66 = -67.5442415371049

x67 = 45.5530922954328

x68 = 89.5353901350773

x69 = 58.119464520069

x70 = 1.57079525114023

x71 = -73.8274269047688

x72 = -23.5619449492902

x73 = -4.71238942125338

x74 = -80.1106131679426

x75 = -92.6769829355125

x76 = -23.5619443878998

x77 = -10.9955738413568

x78 = 64.4026493072124

x79 = 26.7035380604159

x80 = 76.9690204681432

x81 = -98.9601681513438

x82 = 51.8362782775539

x83 = 45.553093730794

x84 = -86.3937977431483

x85 = -29.8451300954883

x86 = 64.4026492731727

x87 = 83.2522056907544

x88 = 32.9867225164981

x89 = -4.71238862219396

x90 = 76.9690196732095

x91 = -17.2787590920677

График