Question

If A and B are acute angles such that tanA =1/3 ,tanB =1/2 and tan[A+B]= tanA+tanB/1-tanA*tanB, show that A+B=45°

Answer 1

tan (A + B) = ( 1/3 + 1/2) / 1 - 1/3 * 1/2

tan( A + B) = 5/6 /  ( 1 - 1/6)

tan ( A + B) = 5/6 / ( 5/6)

tan( A + B) = 5/6 * 6/5

tan (A + B) = 1

tan ( A + B) = tan 45

A + B = 45 ans..
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