Prove that:
`(i)` `(sin2A)/(1+cos2A)=tanA`
`(ii)` ` tan A+cot A=2 cosec 2A`
`(iii)` `(1-cos A + cos B-cos(A + B))/(1 + cos A - cos B-cos(A + B))= tanA/2cotB/2`

Explanation

To prove the given statements step by step, let's start with each part of the question.

### (i) Prove that \(\frac{\sin 2A}{1 + \cos 2A} = \tan A\)

**Step 1:** Start with the left-hand side (LHS):
\[ \text{LHS} = \frac{\sin 2A}{1 + \cos 2A} \]
...