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已知tan(a+180/4)=2,则cos2a+3sin^2a+tan2a
人气:115 ℃ 时间:2020-09-30 03:41:48
解答
tan(a+Pai/4)=(tana+1)/(1-tana)=2tana+1=2-2tanatana=1/3sina/cosa=1/3cosa=3sina(cosa)^2+(sina)^2=110sin^2a=1sin^2a=1/10cos2a+3sin^2a+tan2a=cos^2a-sin^2a+3sin^2a+2tana/(1-tan^2a)=cos^2a+2sin^2a+(2/3)/(1-...
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