If `tanA=a/(a+1)` and `tanB=1/(2a+1)` then the value of `A+B` is `0` b. `pi/2` c. `pi/3` d. `pi/4`

Explanation

To solve the problem, we need to find the value of \( A + B \) given that \( \tan A = \frac{a}{a+1} \) and \( \tan B = \frac{1}{2a+1} \).

### Step 1: Write the formula for \( \tan(A + B) \)

We know the formula for the tangent of the sum of two angles:
\[ \tan(A + B) = \frac{\tan A + \tan B}{1 - \tan A \tan B} \]
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