This example presents the sine function, $\sin(x) $ and the cosine function, $\cos(x)$ with related tables, graphs, and mapping diagrams.

Martin Flashman, Created with GeoGebra

Notice how the arrows on the mapping diagrams are paired with
the points on the graph of the functions.

You can move the point for $x$ on the mapping diagram to see how
the function value for the function $f(x) = \sin(x) $ or $g(x) = \cos(x)$ changes
both on the diagram and on the graph.

Check the upper box to show points on the graph and arrows on the diagram
for the function $f(x) = \sin(x)$ related to the data in the table.

Check the lower box to show the graph and arrows on the diagram
for the function $g(x) = \cos(x)$.

Leave the upper box checked to see some of the relationship between
the graphs and mapping diagrams of the sine and cosine functions.