cos(4*x)-cos(2*x)=0

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Дано

$$- cos{left (2 x right )} + cos{left (4 x right )} = 0$$

Ответ

$$x_{1} = 0$$

x2 = pi

$$x_{2} = pi$$

/ ___
| 1 I*/ 3 |
x3 = -I*log|- – – ——-|
2 2 /

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

/ ___
| 1 I*/ 3 |
x4 = -I*log|- – + ——-|
2 2 /

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

/ ___
|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 /

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

Численный ответ

x1 = -65.9734457655000

x2 = 50.2654824464000

x3 = 48.1710873550000

x4 = 52.3598775598000

x5 = -75.3982237427000

x6 = -21.9911487680000

x7 = 59.6902605103000

x8 = -97.3893723140000

x9 = -31.4159266113000

x10 = 92.1533845053000

x11 = -6.28318520532000

x12 = 818.908485036000

x13 = 63.8790506230000

x14 = 26.1799387799000

x15 = -9.42477804292000

x16 = -2.09439510239000

x17 = 39.7935069455000

x18 = 68.0678408278000

x19 = -43.9822971748000

x20 = 100.530964816000

x21 = 43.9822971692000

x22 = -92.1533845053000

x23 = -75.3982234564000

x24 = -19.8967534727000

x25 = -90.0589894029000

x26 = -87.9645943597000

x27 = 17.8023583703000

x28 = -4.18879020479000

x29 = 30.3687289847000

x30 = 41.8879020479000

x31 = -13.6135681656000

x32 = -15.7079632961000

x33 = 65.9734457524000

x34 = 12.5663705269000

x35 = -61.7846555206000

x36 = -52.3598775598000

x37 = 8.37758040957000

x38 = 54.4542726622000

x39 = -59.6902604567000

x40 = -50.2654823521000

x41 = -97.3893723047000

x42 = 15.7079633673000

x43 = 720.471915223000

x44 = -46.0766922527000

x45 = 19.8967534727000

x46 = 0.0

x47 = 72.2566310277000

x48 = -17.8023583703000

x49 = -68.0678408278000

x50 = -57.5958653158000

x51 = -63.8790506230000

x52 = 84.8230016641000

x53 = -75.3982232421000

x54 = -41.8879020479000

x55 = 60.7374579694000

x56 = 56.5486676697000

x57 = -53.4070751781000

x58 = -28.2743337785000

x59 = 87.9645943349000

x60 = 46.0766922527000

x61 = 90.0589894029000

x62 = 81.6814090806000

x63 = -31.4159264983000

x64 = -21.9911485865000

x65 = 6.28318528450000

x66 = 85.8701991981000

x67 = 96.3421747101000

x68 = -24.0855436775000

x69 = -94.2477795007000

x70 = 37.6991119392000

x71 = 33.5103216383000

x72 = 70.1622359302000

x73 = 78.5398162424000

x74 = -70.1622359302000

x75 = -37.6991118765000

x76 = 98.4365698125000

x77 = 94.2477796094000

x78 = 6.28318529286000

x79 = 74.3510261350000

x80 = -79.5870138909000

x81 = -83.7758040957000

x82 = -39.7935069455000

x83 = 2.09439510239000

x84 = -85.8701991981000

x85 = 4.18879020479000

x86 = -81.6814090367000

x87 = 21.9911485851000

x88 = 76.4454212374000

x89 = 75.3982236924000

x90 = -48.1710873550000

x91 = -26.1799387799000

x92 = -35.6047167407000

x93 = 24.0855436775000

x94 = -12.5663703728000

x95 = 34.5575190978000

x96 = 28.2743338653000

x97 = -72.2566309262000

4.58

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cos(4x)-cos(2x)=0

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