[Sin(π+α)tan(π+α)] ×[ cot(2π-α)cos(π+α)]×[sec(2π-α)csc(π-α)]
= [(-sinα)tanα] ×[(-cotα)(-cosα)]×[secαcscα]
= [(-sinα)×cosαsinα] ×[(cosαsinα)cosα)]×(sinαcosα)
=-cosα×(1sinα)×(sinαcosα)
=-1
[Sin(π+α)tan(π+α)] ×[ cot(2π-α)cos(π+α)]×[sec(2π-α)csc(π-α)]
= [(-sinα)tanα] ×[(-cotα)(-cosα)]×[secαcscα]
= [(-sinα)×cosαsinα] ×[(cosαsinα)cosα)]×(sinαcosα)
=-cosα×(1sinα)×(sinαcosα)
=-1