(i) We know that if y = f(x) is an invertible function, then x = f-1(y). Thus, the graph of sin-1 function can be obtained from the graph of original function by interchanging x and y axes, i.e., if (a, b) is a point on the graph of sine function, then (b, a) becomes the corresponding point on the graph of inverse of sine function. Thus, the graph of the function y = sin-1 x can be obtained from the graph of y = sin x by interchanging x and y-axes. The graphs of y = sin x and y = sin-1 x are shown in (a) and (b). The dark portion of the graph of y = sin-1 x represent the principal value branch.
