sin(2*x)=0

с изменением знака при 0

Получим:
$$sin{left (2 x right )} = 0$$
Это ур-ние преобразуется в
$$2 x = 2 pi n + {asin}{left (0 right )}$$
$$2 x = 2 pi n – {asin}{left (0 right )} + pi$$
Или
$$2 x = 2 pi n$$
$$2 x = 2 pi n + pi$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$2$$
получим ответ:
$$x_{1} = pi n$$
$$x_{2} = pi n + frac{pi}{2}$$

pi
x2 = —
2

x1 = -95.8185759345000

x2 = 78.5398163397000

x3 = 73.8274273594000

x4 = 36.1283155163000

x5 = 56.5486677646000

x6 = 23.5619449019000

x7 = 51.8362787842000

x8 = 14.1371669412000

x9 = -51.8362787842000

x10 = 12.5663706144000

x11 = -97.3893722613000

x12 = -7.85398163397000

x13 = 89.5353906273000

x14 = -23.5619449019000

x15 = -119.380520836000

x16 = 48.6946861306000

x17 = 29.8451302091000

x18 = 43.9822971503000

x19 = 45.5530934771000

x20 = 113.097335529000

x21 = 92.6769832809000

x22 = -483.805268653000

x23 = -80.1106126665000

x24 = -58.1194640914000

x25 = 87.9645943005000

x26 = 64.4026493986000

x27 = 26.7035375555000

x28 = -83.2522053201000

x29 = 42.4115008235000

x30 = 59.6902604182000

x31 = -67.5442420522000

x32 = -86.3937979737000

x33 = -21.9911485751000

x34 = -37.6991118431000

x35 = 31.4159265359000

x36 = 21.9911485751000

x37 = -1.57079632679000

x38 = -29.8451302091000

x39 = 0.0

x40 = -14.1371669412000

x41 = -94.2477796077000

x42 = 67.5442420522000

x43 = 86.3937979737000

x44 = -17.2787595947000

x45 = 15.7079632679000

x46 = 50.2654824574000

x47 = -53.4070751110000

x48 = -59.6902604182000

x49 = 28.2743338823000

x50 = -43.9822971503000

x51 = -48.6946861306000

x52 = -81.6814089933000

x53 = 72.2566310326000

x54 = 4.71238898038000

x55 = -6.28318530718000

x56 = 7.85398163397000

x57 = -39.2699081699000

x58 = -72.2566310326000

x59 = -73.8274273594000

x60 = -45.5530934771000

x61 = 80.1106126665000

x62 = 590.619418875000

x63 = -61.2610567450000

x64 = 94.2477796077000

x65 = 20.4203522483000

x66 = -15.7079632679000

x67 = -65.9734457254000

x68 = 81.6814089933000

x69 = 65.9734457254000

x70 = 100.530964915000

x71 = -89.5353906273000

x72 = -42.4115008235000

x73 = 58.1194640914000

x74 = 95.8185759345000

x75 = -36.1283155163000

x76 = -31.4159265359000

x77 = -75.3982236862000

x78 = -9.42477796077000

x79 = 6.28318530718000

x80 = -87.9645943005000

x81 = -50.2654824574000

x82 = -64.4026493986000

x83 = -20.4203522483000

x84 = 34.5575191895000

x85 = 37.6991118431000

x86 = 70.6858347058000

x87 = -40.8407044967000

x88 = 1.57079632679000

x89 = -28.2743338823000