If tan A=a/a+1 and tan B =a/2a+1then find the value of A+B.

1.	If tan A=a/a+1 and tan B =a/2a+1then find the value of A+B.
Answer» Using identity tan(A+B)=TanA + tanB/1-tanAtanBTan (A+B)=( a/a+1 + a/2a+1)/1- a/a+1×a/2a+1After solving we getA+B= arctan( 3a+2)a^2/a^2+3a+1

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