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$$sin{left (x right )} = – frac{1}{2}$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = 2 pi n + {asin}{left (- frac{1}{2} right )}$$
$$x = 2 pi n – {asin}{left (- frac{1}{2} right )} + pi$$
Или
$$x = 2 pi n – frac{pi}{6}$$
$$x = 2 pi n + frac{7 pi}{6}$$
, где n – любое целое число
-pi
x1 = —-
6
7*pi
x2 = —-
6
x1 = -69.6386371546000
x2 = -88.4881930761000
x3 = -38.2227106187000
x4 = 100.007366139000
x5 = -52.8834763354000
x6 = -78.0162175641000
x7 = -15.1843644924000
x8 = 37.1755130675000
x9 = 41.3643032723000
x10 = 437.204977625000
x11 = 72.7802298082000
x12 = -40.3171057211000
x13 = 9.94837673637000
x14 = 62.3082542962000
x15 = 12.0427718388000
x16 = -21.4675497995000
x17 = -8.90117918517000
x18 = 49.7418836818000
x19 = -90.5825881785000
x20 = -46.6002910282000
x21 = -71.7330322570000
x22 = 192.160750645000
x23 = 47.6474885794000
x24 = 87.4409955249000
x25 = -63.3554518474000
x26 = -44.5058959259000
x27 = -94.7713783833000
x28 = -195.302343298000
x29 = -27.7507351067000
x30 = 68.5914396034000
x31 = 93.7241808321000
x32 = 5.75958653158000
x33 = -50.7890812330000
x34 = -65.4498469498000
x35 = 43.4586983747000
x36 = -0.523598775598000
x37 = -96.8657734857000
x38 = 66.4970445010000
x39 = 22.5147473507000
x40 = -82.2050077689000
x41 = -84.2994028713000
x42 = 30.8923277603000
x43 = 18.3259571459000
x44 = 79.0634151153000
x45 = -57.0722665402000
x46 = -13.0899693900000
x47 = 85.3466004225000
x48 = -34.0339204139000
x49 = 81.1578102177000
x50 = -101.054563690000
x51 = 53.9306738866000
x52 = 56.0250689890000
x53 = -151.320046148000
x54 = 35.0811179651000
x55 = -2.61799387799000
x56 = 3.66519142919000
x57 = 24.6091424531000
x58 = 28.7979326579000
x59 = -6.80678408278000
x60 = 97.9129710369000
x61 = 74.8746249106000
x62 = -59.1666616426000
x63 = 60.2138591938000
x64 = -19.3731546971000
x65 = 91.6297857297000
x66 = -31.9395253115000
x67 = -25.6563400043000
x68 = 66400.1787275000
x69 = 16.2315620435000
x70 = -75.9218224618000