. If tan A=1/2
tan B =1/3
and then find the value ofA+B
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Step-by-step explanation:
tan A=1/2
tan B=1/3
tan(A+B)= (tanA+tanB)/(1-tanAtanB)
=>tan(A+B)=(1/2+1/3)/(1-1/2×1/3)
=>tan(A++B)={(3+2)/6}/(1-1/6)
=>tan(A+B)=(5/6)/(5/6)
=>tan(A+B)=1
=>tan(A+B)=tan pi/4
=>A+B= pi/4
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