-sin(x)-cos(x)=0 (уравнение)

Найду корень уравнения: -sin(x)-cos(x)=0

Вы ввели

-sin(x) - cos(x) = 0

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

Подробное решение

Дано уравнение
$$- \sin{\left(x \right)} - \cos{\left(x \right)} = 0$$
преобразуем:
$$- \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} = 1$$
или
$$- \tan{\left(x \right)} = 1$$
- это простейшее тригонометрическое ур-ние

Разделим обе части ур-ния на -1

Ур-ние превратится в
$$\tan{\left(x \right)} = 1$$
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(1 \right)}$$
Или
$$x = \pi n + \frac{\pi}{4}$$
, где n - любое целое число

Быстрый ответ

     -pi 
x1 = ----
      4  

$$x_{1} = - \frac{\pi}{4}$$

Численный ответ

x1 = 49.4800842940392

x2 = -63.6172512351933

x3 = -57.3340659280137

x4 = -66.7588438887831

x5 = -51.0508806208341

x6 = 52.621676947629

x7 = 74.6128255227576

x8 = -76.1836218495525

x9 = 18.0641577581413

x10 = 40.0553063332699

x11 = 33.7721210260903

x12 = 46.3384916404494

x13 = -29.0597320457056

x14 = -69.9004365423729

x15 = -7.06858347057703

x16 = 80.8960108299372

x17 = 24.3473430653209

x18 = -88.7499924639117

x19 = -44.7676953136546

x20 = -35.3429173528852

x21 = -91.8915851175014

x22 = 14.9225651045515

x23 = 84.037603483527

x24 = 96.6039740978861

x25 = 93.4623814442964

x26 = -25.9181393921158

x27 = 5.49778714378214

x28 = 27.4889357189107

x29 = -95.0331777710912

x30 = -16.4933614313464

x31 = -22.776546738526

x32 = -41.6261026600648

x33 = 62.0464549083984

x34 = -54.1924732744239

x35 = 36.9137136796801

x36 = -47.9092879672443

x37 = 65.1880475619882

x38 = 71.4712328691678

x39 = -85.6083998103219

x40 = -82.4668071567321

x41 = -98.174770424681

x42 = 11.7809724509617

x43 = 77.7544181763474

x44 = 30.6305283725005

x45 = -10.2101761241668

x46 = 43.1968989868597

x47 = -32.2013246992954

x48 = -0.785398163397448

x49 = -107.59954838545

x50 = -19.6349540849362

x51 = 55.7632696012188

x52 = -79.3252145031423

x53 = -60.4756585816035

x54 = 90.3207887907066

x55 = 68.329640215578

x56 = -13.3517687777566

x57 = 58.9048622548086

x58 = 8.63937979737193

x59 = 2.35619449019234

x60 = 87.1791961371168

x61 = -3.92699081698724

x62 = 351.072979038659

x63 = -38.484510006475

x64 = -73.0420291959627

x65 = 99.7455667514759

x66 = 21.2057504117311

График