化简：f(α)=sin(-α)cos(π+α)cos(π2-α)cos(π-α)sin(2π+α)tan(π+α)．

题型：解答题难度：一般来源：不详

化简：f(α)=

sin(-α)cos(π+α)cos( π 2 -α)

cos(π-α)sin(2π+α)tan(π+α)

．

答案

f(α)=

sin(-α)cos(π+α)cos( π 2 -α)

cos(π-α)sin(2π+α)tan(π+α)

=

(-sinα)(-cosα)sinα

(-cosα)sinαtanα

=-cosα．