(i) State the amplitude and fundamental period of the function f(x)=sin2x.
(ii) Describe, with reasons, how the graph of f(x)=sin2x over 0≤x≤2π differs from that of g(x)=sinx drawn over the same interval.
(iii) On the same set of axes, sketch one complete cycle of f(x) and one complete cycle of g(x), clearly marking the points where each curve meets the x-axis and the coordinates of their maximum and minimum points.
(iv) Using your sketch or otherwise, determine how many solutions the equation sin2x=sinx possesses in the open interval 0<x<2π, and list those solutions.