1. The problem asks to find the value of $\csc(\csc^{-1}(7))$. 2. Recall that $\csc^{-1}(x)$ is the inverse cosecant function, which returns an angle $\theta$ such that $\csc(\theta) = x$. 3. Therefore, if $\theta = \csc^{-1}(7)$, then by definition $\csc(\theta) = 7$. 4. Substituting back, $\csc(\csc^{-1}(7)) = 7$. 5. So the value is simply 7.