Prove the following identity, where the angles involved are acute angles for which the expressions are defined.
`sqrt((1+sinA)/(1-sinA))=secA+tanA`

Explanation

To prove the identity \( \sqrt{\frac{1+\sin A}{1-\sin A}} = \sec A + \tan A \), we will start with the left-hand side (LHS) and manipulate it to arrive at the right-hand side (RHS).

### Step 1: Start with the left-hand side
\[ \text{LHS} = \sqrt{\frac{1+\sin A}{1-\sin A}} \]

### Step 2: Multiply and divide by \( 1 + \sin A \)
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