Дано

$$sin{left (3 x right )} + cos{left (3 x right )} = sqrt{2}$$
Ответ

/ 1
2*atan|———|
| ___|
1 + / 2 /
x1 = —————–
3

$$x_{1} = frac{2}{3} {atan}{left (frac{1}{1 + sqrt{2}} right )}$$
Численный ответ

x1 = -8.11578093746000

x2 = -6.02138590966000

x3 = -20.6821517367000

x4 = 19.1113553146000

x5 = 2.35619442955000

x6 = 77.7544183152000

x7 = 29.5833309887000

x8 = 71.4712330159000

x9 = 42.1497015565000

x10 = 79.8488133810000

x11 = 10.7337747426000

x12 = -39.5317076703000

x13 = 23.3001453352000

x14 = -52.0980780978000

x15 = 27.4889358724000

x16 = -12.3045710720000

x17 = -85.6083998893000

x18 = 50.5272817121000

x19 = -29.0597319164000

x20 = -75.1364243739000

x21 = 33.7721211592000

x22 = 48.4328866448000

x23 = -16.4933612727000

x24 = 98.6983690397000

x25 = 84.0376034238000

x26 = 86.1319987264000

x27 = -35.3429175124000

x28 = -50.0036829268000

x29 = 4.45058948706000

x30 = -54.1924731543000

x31 = 96.6039739455000

x32 = -73.0420289689000

x33 = 46.3384915899000

x34 = -62.5700535614000

x35 = 6.54498455656000

x36 = 22630.2008806000

x37 = -96.0803752592000

x38 = -10.2101759973000

x39 = -87.7027949356000

x40 = -64.6644488077000

x41 = -91.8915854721000

x42 = -60.4756584192000

x43 = -100.269165381000

x44 = 88.2263936906000

x45 = 58.9048622587000

x46 = -81.4196097530000

x47 = -33.2485224042000

x48 = 31.6777260819000

x49 = 81.9432084273000

x50 = 37.9609112618000

x51 = 90.3207887510000

x52 = 69.3768378270000

x53 = 0.261799196109000

x54 = 14.9225651576000

x55 = 75.6600232352000

x56 = -1.83259563027000

x57 = -41.6261027301000

x58 = -83.5140048272000

x59 = 56.8104670237000

x60 = 94.5095788680000

x61 = 8.63937963957000

x62 = -37.4373125985000

x63 = 40.0553062117000

x64 = -58.3812633131000

x65 = -43.7204977682000

x66 = -3.92699106754000

x67 = -14.3989661619000

x68 = 35.8665162221000

x69 = -20.6821517282000

x70 = -56.2868682264000

x71 = -77.2308195493000

x72 = 73.5656281385000

x73 = -31.1541272463000

x74 = 25.3945407034000

x75 = -70.9476342563000

x76 = 67.2824423761000

x77 = -79.3252146637000

x78 = -89.7971899807000

x79 = 92.4151838029000

x80 = -20.6821515566000

x81 = 60.9992577106000

x82 = -98.1747703119000

x83 = -18.5877564267000

x84 = 100.792764164000

x85 = -93.9859802220000

x86 = 52.6216767922000

x87 = -45.8148928078000

x88 = 12.8281698867000

x89 = 54.7160718906000

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Vera1611
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