Draw a graph of the rose curve.
r = 2 sin 3θ, 0 ≤ θ ≤ 2π

In this equation, polar coordinates are used in terms of r and θ. The same procedure is done as if these are rectangular coordinates (x and y). The r is analogous to y and θ is analogous to x. Therefore, to graph the equation, you must assign values of θ within the range 0 to 2π. Then, you will obtain corresponding values of r. Plot the values of θ against their r values. The plot is shown in the figure. It is a sinusoidal function which has a distinct characteristic of having a wave-like pattern.