Prove that `(sec^ 2θ−1)(cosec^ 2θ−1)=1 `

Explanation

To prove that \((\sec^2 \theta - 1)(\csc^2 \theta - 1) = 1\), we will use some fundamental trigonometric identities. Let's break this down step by step.

### Step 1: Use the identity for \(\sec^2 \theta\)
We know from trigonometric identities that:
\[ \sec^2 \theta = 1 + \tan^2 \theta \]
Thus, we can rewrite \(\sec^2 \theta - 1\) as:
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