Question

What type of polar curve is the polar equation r = 3- 3 sin (O)?O limaconO lemniscateO roseO cardiod

Answer 1

The polar curves with the form:

$\begin{gathered} r=a\pm b\sin (\theta) \\ r=a\pm b\cos (\theta) \end{gathered}$

are limacons. where a and b are constants. But when a and b are the same values, the polar curve is a cardioid.

So, the polar curve with the equation:

$r=3-3sin(\theta)$

the polar curve is a cardioid because a and b are equal to 3.