Graphing Polar Curves: Inner Loop with a Twist | Homework Help

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The discussion focuses on a homework assignment involving graphing a polar curve with an inner loop. The student struggles to understand the teacher's notes, which indicate that the curve is in the form r = 1 + 2sin(theta) and that A < B results in an inner loop. Initial attempts to graph the equation r = a + bsin(theta) yield an incorrect orientation for the inner loop. After further exploration, the student successfully determines the correct equation as r = 2 + 5cos(theta). This resolution highlights the importance of understanding polar equations and their graphical representations.
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Homework Statement


Hi, my teacher gave me this homework assignment and I'm having trouble graphing this one graph. I don't understand her notes that well and am having trouble getting the equation for this graph. See attached for the graph. The graph is a inner loop that is turned.


Homework Equations


The only notes my teacher gave me for this problem are: "A < B = inner loop, r = 1 + 2sin(theta).


The Attempt at a Solution


I think the equation is in the form, r = a + bsin(theta). But this gives me a graph with the inner loop coming from the bottom. My inner loop comes from the left. I've tried a couple of things to but can't figure out the pattern. Does anybody know a good website for learning these? I'm taking this class online and my teacher never responds to me. I was only given the above for notes. Thanks!
 

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  • Inner Loop.jpg
    Inner Loop.jpg
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Nevermind, I got it! r = 2+5cos(theta)
 

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