-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

Разделим обе части ур-ния на -1

Ур-ние превратится в
$$\sin{\left(x + 2 \right)} = -1$$
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
$$x + 2 = 2 \pi n - \frac{\pi}{2}$$
$$x + 2 = 2 \pi n + \frac{3 \pi}{2}$$
, где n - любое целое число
Перенесём
$$2$$
в правую часть ур-ния
с противоположным знаком, итого:
$$x = 2 \pi n - 2 - \frac{\pi}{2}$$
$$x = 2 \pi n - 2 + \frac{3 \pi}{2}$$

Быстрый ответ

          pi
x1 = -2 - --
          2 

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

          3*pi
x2 = -2 + ----
           2  

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

Численный ответ

x1 = -41.2699069219675

x2 = -34.9867224188086

x3 = -60.1194639046052

x4 = 8.99557473606454

x5 = -47.5530929624673

x6 = -60.1194645939029

x7 = 27.8451303231501

x8 = 71.8274274830848

x9 = -16.1371674455661

x10 = 46.6946866365921

x11 = 46.6946873020308

x12 = 65.54424230971

x13 = -47.5530935911043

x14 = 15.2787599560783

x15 = 84.3937978309099

x16 = 90.6769830592094

x17 = -78.9690195738024

x18 = 21.5619451518571

x19 = -9.85398119154045

x20 = 84.3937978869933

x21 = -28.7035372004893

x22 = 90.6769843439965

x23 = 40.4115013353669

x24 = -91.5353906059052

x25 = -91.5353901118113

x26 = 90.6769837888103

x27 = 46.6946859012172

x28 = -85.2522055723275

x29 = -53.8362786893284

x30 = 78.1106122287081

x31 = 96.9601690454399

x32 = -22.420353265929

x33 = 536.783139388541

x34 = -78.9690203748894

x35 = -9.85398149665124

x36 = 27.8451297031011

x37 = 21.5619444059921

x38 = 52.9778710948428

x39 = 65.5442415586719

x40 = 21.5619437708833

x41 = 2.71239022926564

x42 = 34.1283157235346

x43 = -41.2699076683741

x44 = -97.818575476176

x45 = -34.9867232184024

x46 = -66.4026498988255

x47 = -3.57079639503667

x48 = -9.85398205280014

x49 = -47.5530935025548

x50 = -28.7035379986821

x51 = 84.3937984838325

x52 = 40.4115007162407

x53 = 78.1106131368654

x54 = 2.7123894841958

x55 = -3.57079643188553

x56 = -85.2522048211133

x57 = 27.845130330036

x58 = 40.4115007274741

x59 = -97.8185758680502

x60 = 96.9601682515978

x61 = -16.1371667858125

x62 = 59.2610571125526

x63 = -72.6858343571487

x64 = -60.1194639976905

x65 = 96.9601692809083

x66 = 8.99557393817556

x67 = 71.8274274426229

x68 = -53.8362783335234

x69 = 59.2610563112167

x70 = -66.4026491641039

x71 = 78.1106130902139

x72 = -85.2522042893833

x73 = 34.1283150875497

x74 = 15.2787591562062

x75 = -53.8362791922783

x76 = -3.57079581340397

x77 = -97.8185763308148

x78 = 2.71238874329685

x79 = -72.6858351534454

x80 = 34.1283159497235

x81 = -91.535390750197

x82 = 46.6946870830469

x83 = -41.2699084145515

x84 = -16.1371668370864

x85 = 71.8274268520838

x86 = 65.5442408278864

x87 = -66.4026502975618

x88 = 52.9778718908148

x89 = -22.4203527465087

x90 = -72.6858331259916

x91 = -22.4203520060805

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