Sketch the curve r = sin 3 by filling in the table of r-values below and plotting

Sketch the curve r = sin 3θ by filling in the table of r-values below and plotting the corresponding points of the curve. Notice that the three petals of the curve correspond to the angle intervals [0, π/3], [π/3, 2π/3], and [π/3, π]. Then plot r = sin 3θ in rectangular coordinates and label the points on this graph corresponding to (r, θ) in the table.

Transcribed Image Text:

00 r П 12 к π П П 6 5л 3 12 4 11л 12 π