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Реши любую задачу с помощью нейросети.
$$2 cos{left (2 x right )} + 1 = 0$$
– это простейшее тригонометрическое ур-ние
Перенесём 1 в правую часть ур-ния
с изменением знака при 1
Получим:
$$2 cos{left (2 x right )} = -1$$
Разделим обе части ур-ния на 2
Ур-ние превратится в
$$cos{left (2 x right )} = – frac{1}{2}$$
Это ур-ние преобразуется в
$$2 x = pi n + {acos}{left (- frac{1}{2} right )}$$
$$2 x = pi n – pi + {acos}{left (- frac{1}{2} right )}$$
Или
$$2 x = pi n + frac{2 pi}{3}$$
$$2 x = pi n – frac{pi}{3}$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$2$$
получим ответ:
$$x_{1} = frac{pi n}{2} + frac{pi}{3}$$
$$x_{2} = frac{pi n}{2} – frac{pi}{6}$$
pi
x1 = —
3
2*pi
x2 = —-
3
x1 = -70.1622359302000
x2 = 11.5191730632000
x3 = -57.5958653158000
x4 = -14.6607657168000
x5 = 79.5870138909000
x6 = 98.4365698125000
x7 = 41.8879020479000
x8 = 83.7758040957000
x9 = 48.1710873550000
x10 = -13.6135681656000
x11 = -68.0678408278000
x12 = 10.4719755120000
x13 = 1515.29485658000
x14 = 20.9439510239000
x15 = -63.8790506230000
x16 = 38.7463093943000
x17 = 61.7846555206000
x18 = -79.5870138909000
x19 = -54.4542726622000
x20 = -83.7758040957000
x21 = 99.4837673637000
x22 = -61.7846555206000
x23 = -71.2094334814000
x24 = 60.7374579694000
x25 = -90.0589894029000
x26 = -77.4926187885000
x27 = -39.7935069455000
x28 = -41.8879020479000
x29 = 8.37758040957000
x30 = 92.1533845053000
x31 = 2.09439510239000
x32 = -378.038315982000
x33 = -32.4631240871000
x34 = 63.8790506230000
x35 = -85.8701991981000
x36 = 4.18879020479000
x37 = -60.7374579694000
x38 = 26.1799387799000
x39 = 54.4542726622000
x40 = 46.0766922527000
x41 = -2.09439510239000
x42 = 74.3510261350000
x43 = -17.8023583703000
x44 = -27.2271363311000
x45 = 90.0589894029000
x46 = -33.5103216383000
x47 = 76.4454212374000
x48 = -99.4837673637000
x49 = 39.7935069455000
x50 = 17.8023583703000
x51 = 32.4631240871000
x52 = 68.0678408278000
x53 = -96.3421747101000
x54 = 77.4926187885000
x55 = 55.5014702134000
x56 = -76.4454212374000
x57 = -48.1710873550000
x58 = -294.262511886000
x59 = -11.5191730632000
x60 = -46.0766922527000
x61 = -26.1799387799000
x62 = -35.6047167407000
x63 = 24.0855436775000
x64 = -49.2182849062000
x65 = 85.8701991981000
x66 = 96.3421747101000
x67 = -98.4365698125000
x68 = -24.0855436775000
x69 = -30.3687289847000
x70 = -19.8967534727000
x71 = 16.7551608191000
x72 = -93.2005820565000
x73 = 33.5103216383000
x74 = -5.23598775598000
x75 = 19.8967534727000
x76 = 82.7286065445000
x77 = -10.4719755120000
x78 = -92.1533845053000
x79 = -4.18879020479000
x80 = 52.3598775598000
x81 = -55.5014702134000
x82 = 70.1622359302000
x83 = 30.3687289847000
