化简sin(π-α)cos(3π-α)tan(-π-α)tan(α-2π)tan(4π-α)sin(5π+α)=______．

题型：填空题难度：一般来源：不详

化简

sin(π-α)cos(3π-α)tan(-π-α)tan(α-2π)

tan(4π-α)sin(5π+α)

=______．

答案

原式=

sinα(-cosα)(-tanα)tanα

-tanα(-sinα)

=sinα．
故答案为sinα．