Graphing inverse Trigonometric functions is pretty much like taking a part of a trigonometric function that passes the horrizontal line test, and flipping it over the line y=x
this is what arctan looks like....
tanx arctan
D:(-pi/2,pi/2) D:(-infin,infin)
R:(-infin,infin) R:(-pi,pi)
this is what arcsin looks like (just the red part)...
sinx arcsinx
D:(-pi/2,pi/2) D:(-1,1)
R:(-1,1) R:(-pi/2,pi/2)
and this is what arccos looks like (just the black part);
cosx arccosx
D:(0,pi) D:(-1,1)
R:(-1,1) R:(0,pi)