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已知(1+tan2α)/(1-tanα)=2010,求1/cos2α+tan2α的值
人气:314 ℃ 时间:2020-05-19 03:52:48
解答
(1+tan2α)/(1-tanα)=2010=>{1+2tanα/[(1-tanα)^2]}/(1-tanα)=1-(tanα)^2+2tanα=2010(1+tanα)=>2009+(tanα)^2+2008tanα=0 (1)=>(1+tanα)=[tanα-(tanα)^2]/20091/cos2α+tan2α=(1+sin2α)/cos2α=(1...
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