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(tanα+1)/(1-tanα)=2010求sec2α+tan2α

题目详情
(tanα+1)/(1-tanα)=2010 求sec2α+tan2α
▼优质解答
答案和解析
(tanα+1)/(1-tanα)=(sinα/cosα+1)/(1-sinα/conα)=(sinα+cosα)/(cosα-sinα)=2010sec(2α)+tan(2α)=1/cos(2α)+sin(2α)/cos(2α)={1+sin(2α)}/cos(2α)=(sinα+cosα)^2/{(cosα)^2-(sinα)^2}=(sinα+c...