A parameter $\lambda$ is called a Misiurewicz parameter in the
tangent
family if a post-singular set of a map $\lambda\tan z$ is a bounded,
hyperbolic repelling set. During my talk I will present a comparison of
properties of Misiurewicz parameters in the tangent family and the other
families of maps, I will also give simplest examples. I will show that in
the tangent family Misiurewicz parameters are accumulation points of
hyperbolic parameters.