1. The problem statement, all variables and given/known data Show tan(x): (-pi/2, pi/2) -> R has a continuous inverse arctan(x) : R -> (-pi/2, pi/2). You may assume that tan(x) is continuous and strictly increasing on the given domain, and tends to +/- [tex]\infty[/tex] at +/- pi/2 2. Relevant equations 3. The attempt at a solution I think I have shown that tan(x) has an inverse on this domain by showing it is bijective. However, I am unsure how to go about showing that arctan(x) is continuous.