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$$sin{left (x right )} = frac{1}{5}$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = 2 pi n + {asin}{left (frac{1}{5} right )}$$
$$x = 2 pi n – {asin}{left (frac{1}{5} right )} + pi$$
Или
$$x = 2 pi n + {asin}{left (frac{1}{5} right )}$$
$$x = 2 pi n – {asin}{left (frac{1}{5} right )} + pi$$
, где n – любое целое число
x2 = asin(1/5)
x1 = 63.0332109926000
x2 = 65.7720878046000
x3 = 56.7500256854000
x4 = -68.9136804582000
x5 = 75.5995816069000
x6 = 94.4491375285000
x7 = 53.2057171902000
x8 = 84.6216437261000
x9 = -72.4579889534000
x10 = -47.3252477246000
x11 = -9.62613588156000
x12 = 6.48454322797000
x13 = 46.9225318831000
x14 = 50.4668403782000
x15 = -188.294201295000
x16 = 25.3340991495000
x17 = 88.1659522213000
x18 = 59.4889024974000
x19 = 15.5066053472000
x20 = 72.0552731118000
x21 = -31.2145686151000
x22 = -43.7809392295000
x23 = 100.732322836000
x24 = -22.1925064959000
x25 = 28.0729759615000
x26 = 12.7677285351000
x27 = 44.1836550710000
x28 = 19.0509138423000
x29 = 31.6172844567000
x30 = -53.6084330318000
x31 = 78.3384584190000
x32 = 81.8827669141000
x33 = 97.1880143405000
x34 = -34.7588771103000
x35 = 0.201357920790000
x36 = -41.0420624175000
x37 = -59.8916183390000
x38 = -94.0464216869000
x39 = -18.6481980007000
x40 = 2.94023473280000
x41 = 9.22342003998000
x42 = -66.1748036462000
x43 = 90.9048290333000
x44 = -100.329606994000
x45 = -50.0641245366000
x46 = 40.6393465759000
x47 = -85.0243595677000
x48 = -56.3473098438000
x49 = -6.08182738639000
x50 = -37.4977539223000
x51 = -91.3075448749000
x52 = -78.7411742605000
x53 = -15.9093211887000
x54 = 37.9004697639000
x55 = -87.7632363797000
x56 = -28.4756918031000
x57 = -75.1968657654000
x58 = -3591.04176097000
x59 = -24.9313833079000
x60 = 3744.97980100000
x61 = -62.6304951510000
x62 = 34.3561612687000
x63 = -97.5907301821000
x64 = 21.7897906543000
x65 = 69.3163962998000
x66 = -3.34295057438000
x67 = -12.3650126936000
x68 = -2145.90914032000
x69 = -81.4800510725000