\((\csc\theta + \cot\theta)(\csc\theta - \cot\theta) = \csc^2\theta - \cot^2\theta\)
\(= (1 + \cot^2\theta) - \cot^2\theta\)
\(= 1\)

\(\Rightarrow \csc\theta + \cot\theta = \dfrac{1}{\csc\theta - \cot\theta}\)