sin(2π+α)tan(π+α)/sin(3π/2-α)tam(3π-α)tan(-π-α)
=sinαtanα/[(-cosα)tan(-α)tan(-α)]
=-sinαtanα/(cosα*sinα/cosα*tanα)
=-sinαtanα/sinαtanα
=-1
sin(2π+α)tan(π+α)/sin(3π/2-α)tam(3π-α)tan(-π-α)
=sinαtanα/[(-cosα)tan(-α)tan(-α)]
=-sinαtanα/(cosα*sinα/cosα*tanα)
=-sinαtanα/sinαtanα
=-1