由sinA+cosA=1/5 A sin^2A+cos^2A=1得 sinA*cosA=-12/250 2tan(A/2)/(1+tan^2(A/2))+(1-tan^2(A/2))/(1+tan^2(A/2))=1/5 解得:tan(A/2)=2或-1/4(舍去) 将tan(A/2)=2代入 tanA=2tan(A/2)/(1-tan(A/2)^2) =-4/3