  We investigate the boundary trace operators that naturally correspond to
$\mathrm{H}(\operatorname{curl},\Omega)$, namely the tangential and twisted
tangential trace, where $\Omega \subseteq \mathbb{R}^{3}$. In particular we
regard partial tangential traces, i.e., we look only on a subset $\Gamma$ of
the boundary $\partial\Omega$. We assume both $\Omega$ and $\Gamma$ to be
strongly Lipschitz. We define the space of all
$\mathrm{H}(\operatorname{curl},\Omega)$ fields that possess a $\mathrm{L}^{2}$
tangential trace in a weak sense and show that the set of all smooth fields is
dense in that space, which is a generalization of \cite{BeBeCoDa97}. This is
especially important for Maxwell's equation with mixed boundary condition as we
answer the open problem by Weiss and Staffans in \cite[Sec.~5]{WeSt13} for
strongly Lipschitz pairs.
