sin(x)=sin(1) (уравнение)

Найду корень уравнения: sin(x)=sin(1)

Вы ввели

sin(x) = sin(1)

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

Подробное решение

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

Быстрый ответ

x1 = 1

$$x_{1} = 1$$

x2 = -1 + pi

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

Сумма и произведение корней

сумма

0 + 1 + -1 + pi

$$\left(0 + 1\right) - \left(1 - \pi\right)$$

=

pi

$$\pi$$

произведение

1*1*(-1 + pi)

$$1 \cdot 1 \left(-1 + \pi\right)$$

=

-1 + pi

$$-1 + \pi$$

Численный ответ

x1 = 2.14159265358979

x2 = -7639.35333353038

x3 = -49.2654824574367

x4 = -11.5663706143592

x5 = 83.8230016469244

x6 = -79.5398163397448

x7 = 26.1327412287183

x8 = 46.1238898038469

x9 = -86.9645943005142

x10 = -93.2477796076938

x11 = 90.106186954104

x12 = 4782.50401876367

x13 = -17.8495559215388

x14 = -35.5575191894877

x15 = -92.106186954104

x16 = 33.5575191894877

x17 = 64.9734457253857

x18 = -36.6991118430775

x19 = -41.8407044966673

x20 = 70.1150383789755

x21 = 20.9911485751286

x22 = 7.28318530717959

x23 = 4193.02619254237

x24 = -73.2566310325652

x25 = 14.707963267949

x26 = 44.9822971502571

x27 = 58.6902604182061

x28 = 63.8318530717959

x29 = 39.8407044966673

x30 = 77.5398163397448

x31 = -99.5309649148734

x32 = 101.530964914873

x33 = 1.0

x34 = 32.4159265358979

x35 = -54.4070751110265

x36 = -225.194671058465

x37 = 4827.62790856751

x38 = 8.42477796076938

x39 = -55.5486677646163

x40 = -85.8230016469244

x41 = 51.2654824574367

x42 = -4.14159265358979

x43 = -48.1238898038469

x44 = 27.2743338823081

x45 = -22.9911485751286

x46 = -60.6902604182061

x47 = -61.8318530717959

x48 = 13.5663706143592

x49 = 19.8495559215388

x50 = 88.9645943005142

x51 = -80.6814089933346

x52 = -5.28318530717959

x53 = -74.398223686155

x54 = 38.6991118430775

x55 = 52.4070751110265

x56 = -105.814150222053

x57 = -30.4159265358979

x58 = -29.2743338823081

x59 = 76.398223686155

x60 = -66.9734457253857

x61 = -10.4247779607694

x62 = -24.1327412287183

x63 = -303444.292817585

x64 = 95.2477796076938

x65 = 233.477856365645

x66 = 82.6814089933346

x67 = 96.3893722612836

x68 = -42.9822971502571

x69 = -98.3893722612836

x70 = -16.707963267949

x71 = 57.5486677646163

x72 = 71.2566310325652

x73 = -68.1150383789755

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