2*sin(x)-1=1 (уравнение)

Найду корень уравнения: 2*sin(x)-1=1

Вы ввели

2*sin(x) - 1 = 1

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

Подробное решение

Дано уравнение
$$2 \sin{\left(x \right)} - 1 = 1$$
- это простейшее тригонометрическое ур-ние

Разделим обе части ур-ния на 2

Ур-ние превратится в
$$\sin{\left(x \right)} = 1$$
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 = 39.2699085343272

x7 = -29.8451297624452

x8 = 58.1194636580315

x9 = -67.5442421706656

x10 = -36.1283153448593

x11 = 51.8362789031518

x12 = -80.1106125781572

x13 = 14.1371671100222

x14 = -73.8274272798455

x15 = 20.4203521477756

x16 = 51.8362788867584

x17 = -23.5619450115115

x18 = -80.1106124650157

x19 = 95.8185764110282

x20 = -98.9601689530982

x21 = -36.1283160197768

x22 = 95.8185760629547

x23 = 26.703537322248

x24 = 89.535390888605

x25 = -10.9955746401247

x26 = 20.4203527610188

x27 = 95.8185759975842

x28 = 95.8185754266891

x29 = -17.2787598356363

x30 = 1.57079657289894

x31 = 83.252204888767

x32 = -61.2610569934486

x33 = 32.9867233134552

x34 = 7.85398112872719

x35 = 14.1371665172699

x36 = -54.9778717966574

x37 = -42.4115013226904

x38 = -48.6946865760795

x39 = 20.420352160156

x40 = 70.6858344802043

x41 = 14.1371673791846

x42 = -48.6946857788076

x43 = 102.101760799573

x44 = -42.4115017818136

x45 = -67.5442420547782

x46 = 7.85398177249874

x47 = 70.6858358251975

x48 = 7.85398174307326

x49 = -61.2610562447228

x50 = 70.6858352127237

x51 = 39.2699077336963

x52 = 1.57079582971902

x53 = 58.1194643979608

x54 = 64.4026499096387

x55 = 45.5530929823099

x56 = -29.8451306226524

x57 = -42.4115005850814

x58 = -86.3937988139119

x59 = -67.5442415371049

x60 = 89.5353901350773

x61 = 58.119464520069

x62 = 1.57079525114023

x63 = -73.8274269047688

x64 = -23.5619449492902

x65 = -4.71238942125338

x66 = -80.1106131679426

x67 = -92.6769829355125

x68 = -23.5619443878998

x69 = -10.9955738413568

x70 = 64.4026493072124

x71 = 26.7035380604159

x72 = 76.9690204681432

x73 = -98.9601681513438

x74 = 51.8362782775539

x75 = 45.553093730794

x76 = -86.3937977431483

x77 = -29.8451300954883

x78 = 64.4026492731727

x79 = 83.2522056907544

x80 = 32.9867225164981

x81 = -4.71238862219396

x82 = 76.9690196732095

x83 = -17.2787590920677

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