Complex Mapping [math]f(z)=\sin z[/math]. The points [math]z_1[/math] and [math]z_2[/math] are defined on the horizontal and vertical segments, respectively.[br] [br]Observe the behaviour of [math]w_1=\sin {z_1}[/math] and [math]w_2=\sin {z_2}[/math] when [math]z_1[/math] and [math]z_2[/math] are moved.
To move [math]z_1[/math] and [math]z_2[/math] simultaneously click on the Animate button. Drag the sliders to observe what happens to both graphs.