sin^(-1)(x): passes through origin, increasing, concave down for x > 0, concave up for x < 0, range [-pi/2, pi/2]. cos^(-1)(x): passes through (0, pi/2), strictly decreasing, range [0, pi]. tan^(-1)(x): passes through origin, increasing, horizontal asymptotes at y = +/- pi/2. These graphs are reflections of the restricted original functions across y = x.