If `tanA = 12/5` and `pi lt A lt (3pi)/(2)`, find the values of the following:
i) `sin2A`
ii) `cos2A`
iii) `tan2A`

Explanation

To solve the problem, we need to find the values of \( \sin 2A \), \( \cos 2A \), and \( \tan 2A \) given that \( \tan A = \frac{12}{5} \) and \( \frac{\pi}{2} < A < \frac{3\pi}{2} \).

### Step 1: Find \( \sin A \) and \( \cos A \)

Given \( \tan A = \frac{12}{5} \), we can use the identity:
\[ \tan A = \frac{\sin A}{\cos A} \]
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