cos(6*x)+2*cos(2*x)=0

Решение любых уравнений, Решение уравнений Работа проверена: Yuli95 Время решения: 14 мин Сложность: 4.3

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Дано

$$2 cos{left (2 x right )} + cos{left (6 x right )} = 0$$

Ответ

3*pi /log(2) / ___
x1 = – —- + I*|—— – log/ 2 /|
4 2 /

$$x_{1} = – frac{3 pi}{4} + i left(- log{left (sqrt{2} right )} + frac{1}{2} log{left (2 right )}right)$$

3*pi /log(2) / ___
x2 = —- + I*|—— – log/ 2 /|
4 2 /

$$x_{2} = frac{3 pi}{4} + i left(- log{left (sqrt{2} right )} + frac{1}{2} log{left (2 right )}right)$$

pi /log(2) / ___
x3 = – — + I*|—— – log/ 2 /|
4 2 /

$$x_{3} = – frac{pi}{4} + i left(- log{left (sqrt{2} right )} + frac{1}{2} log{left (2 right )}right)$$

pi /log(2) / ___
x4 = — + I*|—— – log/ 2 /|
4 2 /

$$x_{4} = frac{pi}{4} + i left(- log{left (sqrt{2} right )} + frac{1}{2} log{left (2 right )}right)$$

/ ___
| 1 I*/ 3 |
x5 = -I*log|- – – ——-|
2 2 /

$$x_{5} = – i log{left (- frac{1}{2} – frac{sqrt{3} i}{2} right )}$$

/ ___
| 1 I*/ 3 |
x6 = -I*log|- – + ——-|
2 2 /

$$x_{6} = – i log{left (- frac{1}{2} + frac{sqrt{3} i}{2} right )}$$

/ ___
|1 I*/ 3 |
x7 = -I*log|- – ——-|
2 2 /

$$x_{7} = – i log{left (frac{1}{2} – frac{sqrt{3} i}{2} right )}$$

/ ___
|1 I*/ 3 |
x8 = -I*log|- + ——-|
2 2 /

$$x_{8} = – i log{left (frac{1}{2} + frac{sqrt{3} i}{2} right )}$$

/ ___
| I / 3 |
x9 = -I*log|- – – —–|
2 2 /

$$x_{9} = – i log{left (- frac{sqrt{3}}{2} – frac{i}{2} right )}$$

/ ___
|I / 3 |
x10 = -I*log|- – —–|
2 2 /

$$x_{10} = – i log{left (- frac{sqrt{3}}{2} + frac{i}{2} right )}$$

/ ___
|/ 3 I|
x11 = -I*log|—– – -|
2 2/

$$x_{11} = – i log{left (frac{sqrt{3}}{2} – frac{i}{2} right )}$$

/ ___
|I / 3 |
x12 = -I*log|- + —–|
2 2 /

$$x_{12} = – i log{left (frac{sqrt{3}}{2} + frac{i}{2} right )}$$

Численный ответ

x1 = -77.7544181763000

x2 = 90.3207887907000

x3 = 71.7330322570000

x4 = 48.1710873550000

x5 = 52.3598775598000

x6 = 88.4881930761000

x7 = -21.4675497995000

x8 = -60.2138591938000

x9 = -71.7330322570000

x10 = 92.1533845053000

x11 = 63.8790506230000

x12 = 34.0339204139000

x13 = 26.1799387799000

x14 = -2.09439510239000

x15 = -103.148958793000

x16 = -25.9181393921000

x17 = -5.75958653158000

x18 = 0.523598775598000

x19 = -87.1791961371000

x20 = -90.0589894029000

x21 = 54.1924732744000

x22 = -31.9395253115000

x23 = -25.6563400043000

x24 = 1.04719755120000

x25 = -33.7721210261000

x26 = 5.75958653158000

x27 = 10.2101761242000

x28 = -27.7507351067000

x29 = 41.8879020479000

x30 = 62.0464549084000

x31 = -13.6135681656000

x32 = -93.7241808321000

x33 = 22.5147473507000

x34 = -61.7846555206000

x35 = 49.7418836818000

x36 = 30.3687289847000

x37 = 46.6002910282000

x38 = 8.37758040957000

x39 = -55.7632696012000

x40 = -38.2227106187000

x41 = 40.0553063333000

x42 = 66.4970445010000

x43 = -46.0766922527000

x44 = -16.2315620435000

x45 = 12.0427718388000

x46 = -91.8915851175000

x47 = -97.9129710369000

x48 = 78.0162175641000

x49 = -11.7809724510000

x50 = 19.8967534727000

x51 = -65.1880475620000

x52 = -75.9218224618000

x53 = 16.2315620435000

x54 = -32.2013246993000

x55 = 14.9225651046000

x56 = 100.007366139000

x57 = -17.8023583703000

x58 = 32.2013246993000

x59 = -68.0678408278000

x60 = 84.2994028713000

x61 = -57.5958653158000

x62 = -49.7418836818000

x63 = -63.8790506230000

x64 = 18.0641577581000

x65 = -43.1968989869000

x66 = -99.7455667515000

x67 = -41.8879020479000

x68 = -69.9004365424000

x69 = -47.9092879672000

x70 = 98.1747704247000

x71 = 56.0250689890000

x72 = -82.2050077689000

x73 = 85.8701991981000

x74 = 96.3421747101000

x75 = -24.0855436775000

x76 = -9.94837673637000

x77 = 82.2050077689000

x78 = 70.1622359302000

x79 = 44.5058959259000

x80 = 82.4668071567000

x81 = 74.3510261350000

x82 = -79.5870138909000

x83 = -51.3126800086000

x84 = -83.7758040957000

x85 = 38.2227106187000

x86 = -39.7935069455000

x87 = -74.6128255228000

x88 = -85.8701991981000

x89 = 4.18879020479000

x90 = -53.9306738866000

x91 = 93.7241808321000

x92 = 16.4933614313000

x93 = -3.92699081699000

x94 = 68.3296402156000

x95 = -35.6047167407000

x96 = 24.0855436775000

x97 = 27.7507351067000

x98 = 60.2138591938000

4.94

Yuli95

С 12 июля 2017 г. - по 11 декабря 2017 г.работала в МКУ "МФЦ" города Мегиона. Должность- специалист. С 10 мая 2018 г. - аналитик группы анализа, планирования и контроля штаба ОМВД России по г. Мегиону.

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cos(6x)+2cos(2*x)=0

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