If sinA = `-5/13` and `pi lt A lt (3pi)/(2)`, find the values of the following:
i) `sin(A/2)`, ii) `cos(A/2)`, iii) `tan(A/2)`

Explanation

To solve the problem, we need to find the values of \( \sin\left(\frac{A}{2}\right) \), \( \cos\left(\frac{A}{2}\right) \), and \( \tan\left(\frac{A}{2}\right) \) given that \( \sin A = -\frac{5}{13} \) and \( \pi < A < \frac{3\pi}{2} \).

### Step 1: Determine \( \cos A \)

We know that:
\[ \sin^2 A + \cos^2 A = 1 \]
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