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2 votes
2 votes
Please look at the image and help me work through this homework problem, thank you!

Please look at the image and help me work through this homework problem, thank you-example-1
User Terez
by
2.6k points

1 Answer

24 votes
24 votes

we have the equation


r=2-3\sin \theta

Remember that

The curve is symmetric about the polar axis if for every point (r,θ) on the graph, the point

(r,−θ) is also on the graph

we have that

sin(θ) is not equal to sin(-θ)

so

Is not symmetric about the polar axis

The curve is symmetric about the pole if, for every point (r,θ) on the graph, the point (r,π+θ) is also on the graph

so

sin(θ) is the same that sin(θ+π)

therefore

The curve is symmetric about the pole

using a graphing tool

see the attached figure

Please look at the image and help me work through this homework problem, thank you-example-1
User Ashutosh
by
3.0k points
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