The graph is f(x)=2sin(x)
The graph of r as a function of (theta) in Cartesian coordinates is
shown in the figure below. Draw the corresponding polar curve. Explain
the relationship between the Cartesian and polar graphs.
There is then a picture of a graph curve that originates at (0,0) and goes up to point (pi, 2), then down, where it crosses the x-axis at approximately 2pi, and goes to hit at point at approximately (3pi, -2) and then it moves upward again. (Attached is a picture of the graph)
I am confused. Am I supposed to convert the points to polar coordinates even though none of them are exact? And I don't really understand the relationship between the two graphs at all.
Also, how is it possible that the graph equation is f(x) = 2sin(x)? That graph does not match the graph given because it crosses the x axis at intervals of pi rather than intervals of 2 pi, like in the given graph.
And, shouldn't the polar curve be represented differently than that anyway?