sin((3*pi)/2-x)=-1/2

Разделим обе части ур-ния на -1

Ур-ние превратится в
$$cos{left (x right )} = frac{1}{2}$$
Это ур-ние преобразуется в
$$x = pi n + {acos}{left (frac{1}{2} right )}$$
$$x = pi n – pi + {acos}{left (frac{1}{2} right )}$$
Или
$$x = pi n + frac{pi}{3}$$
$$x = pi n – frac{2 pi}{3}$$
, где n – любое целое число

pi
x1 = —
3

5*pi
x2 = —-
3

x1 = -70.1622359302000

x2 = -13.6135681656000

x3 = 11.5191730632000

x4 = -89.0117918517000

x5 = -26.1799387799000

x6 = 49.2182849062000

x7 = 86.9173967493000

x8 = 74.3510261350000

x9 = 42.9350995991000

x10 = -57.5958653158000

x11 = -63.8790506230000

x12 = -38.7463093943000

x13 = 38.7463093943000

x14 = 61.7846555206000

x15 = -86.9173967493000

x16 = -359.188760060000

x17 = 99.4837673637000

x18 = -61.7846555206000

x19 = 82.7286065445000

x20 = 76.4454212374000

x21 = -80.6342114421000

x22 = 13.6135681656000

x23 = -76.4454212374000

x24 = 7.33038285838000

x25 = -32.4631240871000

x26 = 63.8790506230000

x27 = 57.5958653158000

x28 = -36.6519142919000

x29 = 95.2949771589000

x30 = 36.6519142919000

x31 = 26.1799387799000

x32 = 93.2005820565000

x33 = -17.8023583703000

x34 = 19.8967534727000

x35 = 1651.43053824000

x36 = -82.7286065445000

x37 = -99.4837673637000

x38 = 32.4631240871000

x39 = 68.0678408278000

x40 = 55.5014702134000

x41 = -11.5191730632000

x42 = -1.04719755120000

x43 = 80.6342114421000

x44 = 24.0855436775000

x45 = 5.23598775598000

x46 = 51.3126800086000

x47 = -42.9350995991000

x48 = -24.0855436775000

x49 = -51.3126800086000

x50 = 45.0294947015000

x51 = -49.2182849062000

x52 = -30.3687289847000

x53 = -19.8967534727000

x54 = -95.2949771589000

x55 = -93.2005820565000

x56 = -68.0678408278000

x57 = -5.23598775598000

x58 = -7.33038285838000

x59 = 89.0117918517000

x60 = 1.04719755120000

x61 = 70.1622359302000

x62 = -45.0294947015000

x63 = 17.8023583703000

x64 = 30.3687289847000

x65 = -55.5014702134000

x66 = -74.3510261350000

x67 = -225.147473507000