已知tan(a+180/4)=2,则cos2a+3sin^2a+tan2a

问题描述:

已知tan(a+180/4)=2,则cos2a+3sin^2a+tan2a

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-...