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Given that x=a tan theta, y = b sec thet...

Given that `x=a tan theta, y = b sec theta`. Find `(dy)/(dx)`.

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To find \(\frac{dy}{dx}\) given the equations \(x = a \tan \theta\) and \(y = b \sec \theta\), we will use the chain rule of differentiation. Here are the steps to solve the problem: ### Step 1: Differentiate \(x\) with respect to \(\theta\) We start with the equation for \(x\): \[ x = a \tan \theta \] Differentiating both sides with respect to \(\theta\): ...
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