Show that `tan^(-1)1/2+tan^(-1)2/(11)=tan^(-1)3/4`

Explanation

To prove that \( \tan^{-1}\left(\frac{1}{2}\right) + \tan^{-1}\left(\frac{2}{11}\right) = \tan^{-1}\left(\frac{3}{4}\right) \), we will use the formula for the sum of inverse tangents:

\[ \tan^{-1}(x) + \tan^{-1}(y) = \tan^{-1}\left(\frac{x + y}{1 - xy}\right) \]

### Step 1: Identify \( x \) and \( y \)
Let \( x = \frac{1}{2} \) and \( y = \frac{2}{11} \).
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