If x and y are connected parametrically by the equations given, without eliminating the parameter, Find `(dy)/(dx)`.
`x=(sin^3t)/(sqrt(cos2t)), y=(cos^3t)/(sqrt(cos2t))`

Explanation

To find \(\frac{dy}{dx}\) for the parametric equations given by \(x = \frac{\sin^3 t}{\sqrt{\cos 2t}}\) and \(y = \frac{\cos^3 t}{\sqrt{\cos 2t}}\), we will use the chain rule for parametric differentiation. The formula for \(\frac{dy}{dx}\) in terms of \(t\) is:

\[ \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}} \]

### Step 1: Calculate \(\frac{dx}{dt}\)

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