Prove that : `"cosec "65^(@)cos25^(@)+"cosec20"^(@)cos70^(@)=2`

Explanation

To prove that \( \csc 65^\circ \cos 25^\circ + \csc 20^\circ \cos 70^\circ = 2 \), we will start by simplifying the left-hand side (LHS).

### Step 1: Rewrite the terms using co-function identities
We know that:
- \( \csc(90^\circ - \theta) = \sec(\theta) \)
- \( \cos(90^\circ - \theta) = \sin(\theta) \)

Using these identities, we can rewrite \( \csc 65^\circ \) and \( \csc 20^\circ \):
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