На странице представлен фрагмент
Реши любую задачу с помощью нейросети.
$$cos{left (2 x right )} = 0$$
– это простейшее тригонометрическое ур-ние
с изменением знака при 0
Получим:
$$cos{left (2 x right )} = 0$$
Это ур-ние преобразуется в
$$2 x = pi n + {acos}{left (0 right )}$$
$$2 x = pi n – pi + {acos}{left (0 right )}$$
Или
$$2 x = pi n + frac{pi}{2}$$
$$2 x = pi n – frac{pi}{2}$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$2$$
получим ответ:
$$x_{1} = frac{pi n}{2} + frac{pi}{4}$$
$$x_{2} = frac{pi n}{2} – frac{pi}{4}$$
pi
x1 = —
4
3*pi
x2 = —-
4
x1 = -77.7544181763000
x2 = 90.3207887907000
x3 = 22.7765467385000
x4 = -93.4623814443000
x5 = 77.7544181763000
x6 = -13.3517687778000
x7 = -71.4712328692000
x8 = 33.7721210261000
x9 = -47.9092879672000
x10 = 66.7588438888000
x11 = 162.577419823000
x12 = 69.9004365424000
x13 = -25.9181393921000
x14 = 63.6172512352000
x15 = 30.6305283725000
x16 = -49.4800842940000
x17 = 84.0376034835000
x18 = 54.1924732744000
x19 = 2.35619449019000
x20 = -33.7721210261000
x21 = 10.2101761242000
x22 = 87.1791961371000
x23 = 76.1836218496000
x24 = 49.4800842940000
x25 = -2.35619449019000
x26 = -5.49778714378000
x27 = -55.7632696012000
x28 = 60.4756585816000
x29 = -54.1924732744000
x30 = -38.4845100065000
x31 = -46.3384916404000
x32 = 40.0553063333000
x33 = 41.6261026601000
x34 = -32.2013246993000
x35 = -79.3252145031000
x36 = -18.0641577581000
x37 = -62.0464549084000
x38 = 44.7676953137000
x39 = 46.3384916404000
x40 = -11.7809724510000
x41 = 27.4889357189000
x42 = 1973.70558462000
x43 = 85.6083998103000
x44 = 32.2013246993000
x45 = 74.6128255228000
x46 = -63.6172512352000
x47 = -76.1836218496000
x48 = 18.0641577581000
x49 = -99.7455667515000
x50 = -60.4756585816000
x51 = -90.3207887907000
x52 = -16.4933614313000
x53 = -69.9004365424000
x54 = 88.7499924639000
x55 = 3.92699081699000
x56 = 11.7809724510000
x57 = 98.1747704247000
x58 = -19.6349540849000
x59 = 38.4845100065000
x60 = 24.3473430653000
x61 = 62.0464549084000
x62 = -84.0376034835000
x63 = -35.3429173529000
x64 = -41.6261026601000
x65 = -91.8915851175000
x66 = 82.4668071567000
x67 = 96.6039740979000
x68 = 25.9181393921000
x69 = -27.4889357189000
x70 = 384.059701901000
x71 = -82.4668071567000
x72 = -10.2101761242000
x73 = -40.0553063333000
x74 = -85.6083998103000
x75 = -57.3340659280000
x76 = -98.1747704247000
x77 = 47.9092879672000
x78 = 16.4933614313000
x79 = -12461.9126586000
x80 = -3.92699081699000
x81 = 68.3296402156000
x82 = 19.6349540849000
x83 = 5.49778714378000
x84 = 99.7455667515000
x85 = 52.6216769476000
x86 = -24.3473430653000
x87 = -68.3296402156000
x88 = 55.7632696012000
x89 = 91.8915851175000
x90 = 8.63937979737000