sin(0.015+2)=sinx (уравнение)

Найду корень уравнения: sin(0.015+2)=sinx

Вы ввели

sin(3/200 + 2) = sin(x)

$$\sin{\left(\frac{3}{200} + 2 \right)} = \sin{\left(x \right)}$$

Подробное решение

Дано уравнение
$$\sin{\left(\frac{3}{200} + 2 \right)} = \sin{\left(x \right)}$$
- это простейшее тригонометрическое ур-ние

Разделим обе части ур-ния на -1

Ур-ние превратится в
$$\sin{\left(x \right)} = \sin{\left(\frac{403}{200} \right)}$$
Это ур-ние преобразуется в
$$x = 2 \pi n + \operatorname{asin}{\left(\sin{\left(\frac{403}{200} \right)} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\sin{\left(\frac{403}{200} \right)} \right)} + \pi$$
Или
$$x = 2 \pi n - \frac{403}{200} + \pi$$
$$x = 2 \pi n + \frac{403}{200}$$
, где n - любое целое число

Быстрый ответ

     403
x1 = ---
     200

$$x_{1} = \frac{403}{200}$$

       403     
x2 = - --- + pi
       200     

$$x_{2} = - \frac{403}{200} + \pi$$

Численный ответ

x1 = 57.6752604182061

x2 = -42.8557044966673

x3 = -36.5725191894877

x4 = 33.4309265358979

x5 = 45.9972971502571

x6 = 64.8468530717959

x7 = 101.657557568463

x8 = 26.2593338823081

x9 = 19.9761485751286

x10 = -104.799150222053

x11 = 83.6964089933346

x12 = -98.5159649148734

x13 = -17.722963267949

x14 = -49.1388898038469

x15 = -24.0061485751286

x16 = -5.15659265358979

x17 = -93.121186954104

x18 = -60.8168530717959

x19 = -85.9495943005142

x20 = 51.3920751110265

x21 = 58.5636677646163

x22 = 71.1300383789755

x23 = -35.6841118430775

x24 = -74.2716310325652

x25 = -438.696378848981

x26 = -99.4043722612836

x27 = -67.9884457253857

x28 = 13.692963267949

x29 = -29.4009265358979

x30 = -136.215076757951

x31 = 1.12659265358979

x32 = -86.8380016469244

x33 = 95.3743722612836

x34 = -67.1000383789755

x35 = -123.648706143592

x36 = 7.40977796076938

x37 = 77.413223686155

x38 = 2.015

x39 = 1855.55466561798

x40 = 96.2627796076938

x41 = 39.7141118430775

x42 = 20.8645559215388

x43 = -41.9672971502571

x44 = -4.26818530717959

x45 = 82.8080016469244

x46 = 8.29818530717959

x47 = -16.8345559215388

x48 = -48.2504824574367

x49 = 32.5425191894877

x50 = -92.2327796076938

x51 = -23.1177412287183

x52 = -30.2893338823081

x53 = -2881.96705599543

x54 = -11.4397779607694

x55 = 89.091186954104

x56 = -73.383223686155

x57 = 70.2416310325652

x58 = 27.1477412287183

x59 = -7606.92240699448

x60 = -80.5548163397448

x61 = 45.1088898038469

x62 = 63.9584457253857

x63 = -10.5513706143592

x64 = -61.7052604182061

x65 = 52.2804824574367

x66 = -55.4220751110265

x67 = 38.8257044966673

x68 = -54.5336677646163

x69 = 89.9795943005142

x70 = 76.5248163397448

x71 = 14.5813706143592

x72 = -79.6664089933346

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