cos2a=2(cosa)^2-1,(cosa)=1/5,a在第三象限,cosa<0,cosa=-根号(1/5)cos2a=1-2(sina)^2,(sina)^2=4/5,a在第三象限,sina<0,sina=-根号(4/5)tana=sina/cosx=2tan2a=2tana/(1-(tana)^2)=-4/3tan(π/4+2a)=(tanπ/4+tan2a)/(1-tanπ/4*tan2a)=(1-4/3)/(1+4/3)=-1/7