If $x$ and $y$ are connected parametrically by the equations given in $x = a \sec \theta, y = b \tan \theta $ without eliminating the parameter, Find $\frac{\large dy}{\large dx}$.

Question

$\begin{array}{1 1} \frac{b}{a}\begin{bmatrix}sec\theta\end{bmatrix} \\ \frac{b}{a}\begin{bmatrix}cos\theta\end{bmatrix} \\ a\begin{bmatrix}cosec\theta\end{bmatrix} \\ \frac{b}{a}\begin{bmatrix}cosec\theta\end{bmatrix} \\ \end{array} $