If A and B are acute angles such that tanA=1/3 and tanB=1/2 then A+B=?

| If A and B are acute angles such that tanA=1/3 and tanB=1/2 then A+B=?

A. 45

B. 90

C. 60

D. 30

Right Answer is: A

SOLUTION

tanA=1/3

tanB=1/2

tan(A+B)=

substituting values on RHS side,

tan(A+B)==1

Tan(A+B)=tan45

A+B=45

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