  In this article we will discuss combinatorial structure of the parameter
plane of the family $ \mathcal F = \{ \lambda \tan z^2: \lambda \in \mathbb
C^*, \ z \in \mathbb C\}.$ The parameter space contains components where the
dynamics are conjugate on their Julia sets. The complement of these components
is the bifurcation locus. These are the hyperbolic components where the
post-singular set is disjoint from the Julia set. We prove that all hyperbolic
components are bounded except the four components of period one and they are
all simply connected.
