cos(x)=-sin(x)

Дано

$$\cos{\left (x \right )} = — \sin{\left (x \right )}$$
Подробное решение
Дано уравнение
$$\cos{\left (x \right )} = — \sin{\left (x \right )}$$
преобразуем:
$$\frac{\sin{\left (x \right )}}{\cos{\left (x \right )}} = -1$$
или
$$\tan{\left (x \right )} = -1$$
— это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + {atan}{\left (1 \right )}$$
Или
$$x = \pi n + \frac{\pi}{4}$$
, где n — любое целое число
Читайте также  cos(2*t)+sin(2*t) если t=1 (упростите выражение)
Ответ

-pi
x1 = —-
4

$$x_{1} = — \frac{\pi}{4}$$

3*pi
x2 = —-
4

$$x_{2} = \frac{3 \pi}{4}$$
Численный ответ

x1 = 99.7455667515000

x2 = 21.2057504117000

x3 = 90.3207887907000

x4 = -69.9004365424000

x5 = -38.4845100065000

x6 = -73.0420291960000

x7 = 96.6039740979000

x8 = 62.0464549084000

x9 = 74.6128255228000

x10 = -63.6172512352000

x11 = 77.7544181763000

x12 = -76.1836218496000

x13 = -22.7765467385000

x14 = 18.0641577581000

x15 = 351.072979039000

x16 = 49.4800842940000

x17 = 36.9137136797000

x18 = -13.3517687778000

x19 = -88.7499924639000

x20 = -16.4933614313000

x21 = -85.6083998103000

x22 = -82.4668071567000

x23 = -47.9092879672000

x24 = 71.4712328692000

x25 = -10.2101761242000

x26 = 80.8960108299000

x27 = 33.7721210261000

x28 = -0.785398163397000

x29 = 24.3473430653000

x30 = -54.1924732744000

x31 = 93.4623814443000

x32 = -29.0597320457000

x33 = 43.1968989869000

x34 = 14.9225651046000

x35 = -98.1747704247000

x36 = -95.0331777711000

x37 = 40.0553063333000

x38 = 65.1880475620000

x39 = -66.7588438888000

x40 = 11.7809724510000

x41 = -3.92699081699000

x42 = 68.3296402156000

x43 = -25.9181393921000

x44 = 52.6216769476000

x45 = -19.6349540849000

x46 = -32.2013246993000

x47 = 5.49778714378000

x48 = -79.3252145031000

x49 = 58.9048622548000

x50 = -44.7676953137000

x51 = 30.6305283725000

x52 = -60.4756585816000

x53 = 87.1791961371000

x54 = -57.3340659280000

x55 = -107.599548385000

x56 = -35.3429173529000

x57 = -41.6261026601000

x58 = 55.7632696012000

x59 = 84.0376034835000

x60 = 46.3384916404000

x61 = -51.0508806208000

x62 = 27.4889357189000

x63 = 2.35619449019000

x64 = 8.63937979737000

x65 = -7.06858347058000

x66 = -91.8915851175000

1 Звезда2 Звезды3 Звезды4 Звезды5 Звезд (Пока оценок нет)
Загрузка...