Inverse of trig functions

The inverse of [math]y = f(x)[/math] is a relation [math]x = f^{-1}(y)[/math]. Graphically, the inverse relation is obtained by reflecting the graph of [math]y = f(x)[/math] about the line [math]y = x[/math].
Change your f(x) to the three different trig parent functions and explore their inverses. Answer the questions below.
Click 'Show inverse' to display the entire inverse relation. Is it a function? You can click 'Vertical line test' to provide a vertical line which might help you decide.[br][br]Can you restrict the domain of [math]f[/math] to make the inverse a function?
– tobibrooks, University of Melbourne School of Mathematics and Statistics

Information: Inverse of trig functions