Question

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

Answer 1

The first option on the test (check picture because sometimes they switch the order of the options)

Explanation:

Hope this helps :)

Answer 2

A table of r versus θ is shown in the table below.

θ/π r
------- ---------
0 0
0.2 1.902
0.4 1.176
0.6 -1.176
0.8 -1.902
1.0 0
1.2 1.902
1.4 1.176
1.6 -1.176
1.8 -1.902
2.0 0

Many more intermediate values of θ are required to generate a smooth polar plot.
Use a graphing utility to graph the curve as shown below.