tan(A+2B)=(tanA+tan2B)/(1-tanAtan2B).
tan2B=2tanB/(1-tan^2B)=(2*2/3)/[1-(2/3)^2]=(4/3)/(5/9).
=12/5.
tan(A+2B)=[(17/7)+(12/5)]/[1-(17/7)*12/5].
=169/(-169)
∴tan(A+2B)=-1.
tan(A+2B)=(tanA+tan2B)/(1-tanAtan2B).
tan2B=2tanB/(1-tan^2B)=(2*2/3)/[1-(2/3)^2]=(4/3)/(5/9).
=12/5.
tan(A+2B)=[(17/7)+(12/5)]/[1-(17/7)*12/5].
=169/(-169)
∴tan(A+2B)=-1.