tana=3,则(2sin^3a+cosa)/(cos^3a-sin^2a×cosa)=

问题描述:

tana=3,则(2sin^3a+cosa)/(cos^3a-sin^2a×cosa)=

原式=[2tanα(sinα)^2+1]/[(cosα)^2-(sinα)^2]  =[6(sinα)^2+(cosα)^2+(sinα)^2]/[cosα)^2-(sinα)^2]  =[7(tanα)^2+1]/[1-(tanα)^2]  =(7×3^2+1)/(...