sin(5*x)=0

с изменением знака при 0

Получим:
$$sin{left (5 x right )} = 0$$
Это ур-ние преобразуется в
$$5 x = 2 pi n + {asin}{left (0 right )}$$
$$5 x = 2 pi n – {asin}{left (0 right )} + pi$$
Или
$$5 x = 2 pi n$$
$$5 x = 2 pi n + pi$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$5$$
получим ответ:
$$x_{1} = frac{2 pi}{5} n$$
$$x_{2} = frac{2 pi}{5} n + frac{pi}{5}$$

pi
x2 = —
5

x1 = 52.7787565803000

x2 = -93.6194610770000

x3 = 74.1415866247000

x4 = -96.1327351998000

x5 = 98.0176907920000

x6 = -27.6460153516000

x7 = 10.0530964915000

x8 = -57.8053048261000

x9 = -33.9292006588000

x10 = 48.3805268653000

x11 = 16.3362817987000

x12 = 54.0353936417000

x13 = 84.1946831162000

x14 = 70.3716754404000

x15 = -25.7610597594000

x16 = -5.65486677646000

x17 = -74.1415866247000

x18 = 64.0884901332000

x19 = 43.9822971503000

x20 = 89.2212313620000

x21 = -35.8141562509000

x22 = 18.2212373908000

x23 = 5.65486677646000

x24 = 30.1592894745000

x25 = -47.7522083346000

x26 = -11.9380520836000

x27 = 20.1061929830000

x28 = -79.7964534012000

x29 = -13.8230076758000

x30 = 33.9292006588000

x31 = 87.9645943005000

x32 = 40.2123859659000

x33 = -32.0442450666000

x34 = -89.8495498927000

x35 = 26.3893782902000

x36 = -20.1061929830000

x37 = 8.16814089933000

x38 = 82.3097275241000

x39 = -76.0265422169000

x40 = 23.8761041673000

x41 = -21.9911485751000

x42 = -86.0796387084000

x43 = -37.6991118431000

x44 = 86.0796387084000

x45 = 21.9911485751000

x46 = 0.0

x47 = 60.3185789489000

x48 = -69.7433569097000

x49 = 38.3274303738000

x50 = 52.1504380496000

x51 = -91.7345054848000

x52 = 77.9114978090000

x53 = 50.2654824574000

x54 = -59.6902604182000

x55 = 28.2743338823000

x56 = -43.9822971503000

x57 = -81.6814089933000

x58 = 99.9026463842000

x59 = 72.2566310326000

x60 = -49.6371639267000

x61 = -65.9734457254000

x62 = -1.88495559215000

x63 = 42.0973415581000

x64 = 11.3097335529000

x65 = 189.752196277000

x66 = -52.7787565803000

x67 = 45.8672527424000

x68 = 67.8584013175000

x69 = -10.0530964915000

x70 = -55.9203492339000

x71 = 94.2477796077000

x72 = -45.8672527424000

x73 = -3.76991118431000

x74 = -42.0973415581000

x75 = -98.0176907920000

x76 = -15.7079632679000

x77 = 32.0442450666000

x78 = 65.9734457254000

x79 = -71.6283125018000

x80 = -23.8761041673000

x81 = 55.9203492339000

x82 = -54.0353936417000

x83 = 1.88495559215000

x84 = -67.8584013175000

x85 = 92.3628240155000

x86 = -64.0884901332000

x87 = 6.28318530718000

x88 = -87.9645943005000

x89 = 96.1327351998000

x90 = 101.159283446000

x91 = 11.9380520836000

x92 = -99.9026463842000

x93 = 5.02654824574000

x94 = 76.0265422169000

x95 = -77.9114978090000

x96 = 62.2035345411000