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$$sin{left (x right )} – frac{sqrt{3}}{2} = 0$$
– это простейшее тригонометрическое ур-ние
Перенесём -sqrt(3)/2 в правую часть ур-ния
с изменением знака при -sqrt(3)/2
Получим:
$$sin{left (x right )} – frac{sqrt{3}}{2} + frac{sqrt{3}}{2} = frac{sqrt{3}}{2}$$
Это ур-ние преобразуется в
$$x = 2 pi n + {asin}{left (frac{sqrt{3}}{2} right )}$$
$$x = 2 pi n – {asin}{left (frac{sqrt{3}}{2} right )} + pi$$
Или
$$x = 2 pi n + frac{pi}{3}$$
$$x = 2 pi n + frac{2 pi}{3}$$
, где n – любое целое число
pi
x1 = —
3
2*pi
x2 = —-
3
x1 = -67.0206432766000
x2 = -36.6519142919000
x3 = 170.693200845000
x4 = -16.7551608191000
x5 = -68.0678408278000
x6 = 20.9439510239000
x7 = -60.7374579694000
x8 = 195.825942074000
x9 = 71.2094334814000
x10 = -30.3687289847000
x11 = 58.6430628670000
x12 = 52.3598775598000
x13 = -79.5870138909000
x14 = -104.719755120000
x15 = 101.578162466000
x16 = 38.7463093943000
x17 = 27.2271363311000
x18 = 90.0589894029000
x19 = 14.6607657168000
x20 = -29.3215314335000
x21 = -41.8879020479000
x22 = -61.7846555206000
x23 = -17.8023583703000
x24 = 82.7286065445000
x25 = -80.6342114421000
x26 = 13.6135681656000
x27 = 8.37758040957000
x28 = 7.33038285838000
x29 = 2.09439510239000
x30 = 63.8790506230000
x31 = 944.572191179000
x32 = 57.5958653158000
x33 = -85.8701991981000
x34 = -42.9350995991000
x35 = 208.392312688000
x36 = 46.0766922527000
x37 = -520.457182945000
x38 = -10.4719755120000
x39 = -54.4542726622000
x40 = 76.4454212374000
x41 = -99.4837673637000
x42 = 39.7935069455000
x43 = -73.3038285838000
x44 = 32.4631240871000
x45 = -23.0383461263000
x46 = 77.4926187885000
x47 = -48.1710873550000
x48 = 64.9262481742000
x49 = -92.1533845053000
x50 = -11.5191730632000
x51 = -112.050137978000
x52 = 96.3421747101000
x53 = -35.6047167407000
x54 = -49.2182849062000
x55 = 51.3126800086000
x56 = 95.2949771589000
x57 = -98.4365698125000
x58 = 146.607657168000
x59 = -24.0855436775000
x60 = 45.0294947015000
x61 = 209.439510239000
x62 = 83.7758040957000
x63 = -86.9173967493000
x64 = -93.2005820565000
x65 = 33.5103216383000
x66 = 26.1799387799000
x67 = -5.23598775598000
x68 = 89.0117918517000
x69 = 70.1622359302000
x70 = 19.8967534727000
x71 = -4.18879020479000
x72 = -55.5014702134000
x73 = -74.3510261350000
x74 = 1.04719755120000