问题
填空题
化简cos2(π-α)+tan(π+α)cot(-π-α)+sin(2π-α)cos(π+α)tan(2π+α)=______.
答案
因为:cos2(π-α)+tan(π+α)cot(-π-α)+sin(2π-α)cos(π+α)tan(2π+α)
=cos2α-tanαcotα+sinαcosαtanα
=cos2α-1+sin2α
=1-1=0
故答案为:0.
化简cos2(π-α)+tan(π+α)cot(-π-α)+sin(2π-α)cos(π+α)tan(2π+α)=______.
因为:cos2(π-α)+tan(π+α)cot(-π-α)+sin(2π-α)cos(π+α)tan(2π+α)
=cos2α-tanαcotα+sinαcosαtanα
=cos2α-1+sin2α
=1-1=0
故答案为:0.