Дано

$$3 sin{left (x right )} + 4 cos{left (x right )} = 1$$
Ответ
$$x_{1} = 2 {atan}{left (frac{3}{5} + frac{2 sqrt{6}}{5} right )}$$

/ ___
|3 2*/ 6 |
x2 = 2*atan|- – ——-|
5 5 /

$$x_{2} = 2 {atan}{left (- frac{2 sqrt{6}}{5} + frac{3}{5} right )}$$
Численный ответ

x1 = 62.1059157746000

x2 = -44.7082344475000

x3 = -76.1241609834000

x4 = 8.29612482198000

x5 = 87.2386570033000

x6 = 2.01293951480000

x7 = -73.3852841714000

x8 = -25.8586785259000

x9 = -79.6684694785000

x10 = 43.2563598530000

x11 = -57.2746050618000

x12 = -29.4029870211000

x13 = -35.6861723283000

x14 = 58.5616072794000

x15 = 93.5218423105000

x16 = -85.9516547857000

x17 = -92.2348400929000

x18 = 89.9775338153000

x19 = 24.4068039315000

x20 = 77.4111632010000

x21 = -63.5577903690000

x22 = 27.1456807435000

x23 = 52.2784219722000

x24 = 18.1236186243000

x25 = -0.725937297211000

x26 = -38.4250491403000

x27 = 49.5395451602000

x28 = 45.9952366651000

x29 = -48.2525429426000

x30 = -19.5754932188000

x31 = -67.1020988642000

x32 = -69.8409756762000

x33 = -50.9914197546000

x34 = 55.8227304674000

x35 = -88.6905315977000

x36 = 36.9731745459000

x37 = -41.9693576355000

x38 = 64.8447925866000

x39 = -60.8189135570000

x40 = 133.959830966000

x41 = -82.4073462905000

x42 = 74.6722863889000

x43 = -23.1198017139000

x44 = 80.9554716961000

x45 = 96.2607191225000

x46 = 11.8404333171000

x47 = -32.1418638331000

x48 = -94.9737169049000

x49 = 14.5793101292000

x50 = 39.7120513579000

x51 = 20.8624954363000

x52 = -4.27024579238000

x53 = 83.6943485081000

x54 = -98.5180254001000

x55 = 30.6899892387000

x56 = 99.8050276177000

x57 = 33.4288660507000

x58 = 5.55724800997000

x59 = -16.8366164067000

x60 = 71.1279778938000

x61 = -13.2923079116000

x62 = -7.00912260439000

x63 = -54.5357282498000

x64 = 68.3891010818000

x65 = 190.508498730000

x66 = -10.5534310996000

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4.4
user987943
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