化简(sin2α+2sin^2α)/(1-tanα)
问题描述:
化简(sin2α+2sin^2α)/(1-tanα)
答
(2(sinα)^2+sin2α)/(1+tanα)=sin2α(2(sinα)^2/(2sinαcosα)+1)/(1+tanα)=sin2α*(tanα+1)/(1+tanα)=sin2α
化简(sin2α+2sin^2α)/(1-tanα)
(2(sinα)^2+sin2α)/(1+tanα)=sin2α(2(sinα)^2/(2sinαcosα)+1)/(1+tanα)=sin2α*(tanα+1)/(1+tanα)=sin2α