Plot3D[Im[ArcSin[x + I y]], {x, -2, 2}, {y, -2, 2}, AxesLabel -> {"x", "y"}]

Plot3D[Im[ArcCos[x + I y]], {x, -2, 2}, {y, -2, 2}, AxesLabel -> {"x", "y"}]

Plot3D[Re[ArcTan[x + I y]], {x, -2, 2}, {y, -2, 2}, AxesLabel -> {"x", "y"}]