sin(x-2)=0 (уравнение)

Найду корень уравнения: sin(x-2)=0

Вы ввели

sin(x - 2) = 0

$$\sin{\left(x - 2 \right)} = 0$$

Подробное решение

Дано уравнение
$$\sin{\left(x - 2 \right)} = 0$$
- это простейшее тригонометрическое ур-ние

с изменением знака при 0

Получим:
$$\sin{\left(x - 2 \right)} = 0$$
Это ур-ние преобразуется в
$$x - 2 = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$x - 2 = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
Или
$$x - 2 = 2 \pi n$$
$$x - 2 = 2 \pi n + \pi$$
, где n - любое целое число
Перенесём
$$-2$$
в правую часть ур-ния
с противоположным знаком, итого:
$$x = 2 \pi n + 2$$
$$x = 2 \pi n + 2 + \pi$$

Быстрый ответ

x1 = 2

$$x_{1} = 2$$

x2 = 2 + pi

$$x_{2} = 2 + \pi$$

Численный ответ

x1 = -23.1327412287183

x2 = 83.6814089933346

x3 = 58.5486677646163

x4 = 2.0

x5 = 42.8407044966673

x6 = -45.1238898038469

x7 = 86.8230016469244

x8 = -92.2477796076938

x9 = -10.5663706143592

x10 = -16.8495559215388

x11 = 33.4159265358979

x12 = 11.4247779607694

x13 = 93.106186954104

x14 = -35.6991118430775

x15 = 23.9911485751286

x16 = -89.106186954104

x17 = -2640.07942166902

x18 = -70.2566310325652

x19 = -57.6902604182061

x20 = -51.4070751110265

x21 = 39.6991118430775

x22 = -230.477856365645

x23 = -95.3893722612836

x24 = 77.398223686155

x25 = 67.9734457253857

x26 = -67.1150383789755

x27 = 8.28318530717959

x28 = -76.5398163397448

x29 = -19.9911485751286

x30 = -54.5486677646163

x31 = -82.8230016469244

x32 = 17.707963267949

x33 = -265.035375555132

x34 = -7.42477796076938

x35 = 14.5663706143592

x36 = 74.2566310325652

x37 = -60.8318530717959

x38 = 49.1238898038469

x39 = 80.5398163397448

x40 = -79.6814089933346

x41 = -38.8407044966673

x42 = -41.9822971502571

x43 = -73.398223686155

x44 = 20.8495559215388

x45 = 52.2654824574367

x46 = -26.2743338823081

x47 = -48.2654824574367

x48 = 96.2477796076938

x49 = -29.4159265358979

x50 = 99.3893722612836

x51 = -98.5309649148734

x52 = -111.097335529233

x53 = 89.9645943005142

x54 = 64.8318530717959

x55 = 45.9822971502571

x56 = -85.9645943005142

x57 = 30.2743338823081

x58 = 5.14159265358979

x59 = 27.1327412287183

x60 = 55.4070751110265

x61 = -32.5575191894877

x62 = -13.707963267949

x63 = -4.28318530717959

x64 = -1.14159265358979

x65 = 61.6902604182061

x66 = 36.5575191894877

x67 = -63.9734457253857

x68 = 71.1150383789755

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