Is there a way to tell if an equation is a cardioid or a limacon without graphing it? I'm supposed to tell what shape r=2+2sin theta is, but cardioid and limacon equations look the same. I know cardioids come from limacons, so maybe I should say that.

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Is there a way to tell if an equation is a cardioid or a limacon without graphing it? I'm supposed to tell what shape r=2+2sin theta is, but cardioid and limacon equations look the same. I know cardioids come from limacons, so maybe I should say that.

Mathematics
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@Astrophysics if you aren't busy, can you help me?
Not quite, you need to know what the equations look like, cardoids are as the following \[r = a \pm a \cos \theta~~~\text{and}~~~r = a \pm a \sin \theta\] |dw:1434418408816:dw| see if you can figure out these graphs. And limacons are in the following form \[r = b+a \cos \theta~~~\text{and}~~~r = b + a \sin \theta\] horizontal and vertical respectively. And they can be looped, if b

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Okay, thanks!
Np :)
Notice that, one of the graphs is your equation!
Yup!, the second one
Yup :P
:)

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