##Mathematica, 65 bytes

    NumberForm[t/.NSolve[Sin[t Degree]==#&&#2<t<#3,{t},Reals],{9,3}]&

input
>[0, -1080, 1080]

output
>{-900.000,-720.000,-540.000,-360.000,-180.000,0.000,180.000,360.000,540.000,720.000,900.000}