Find `(dy)/(dx)` when
`x = a sec theta and y = b tan theta `

Explanation

To find \(\frac{dy}{dx}\) when \(x = a \sec \theta\) and \(y = b \tan \theta\), we will use the chain rule of differentiation. Here are the steps to solve the problem:

### Step 1: Identify the relationships
We have:
- \(x = a \sec \theta\)
- \(y = b \tan \theta\)

### Step 2: Differentiate \(y\) with respect to \(\theta\)
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