Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate. r = 1 − sin ⁡ θ r=1-\sin\theta r = 1 − sin θ

Here we're asked to identify whether the given equation is that of a cardioid, a limosome, a rose, or a lemniscate. Now the equation that we're given here is r r equals 1 minus the sine of theta. Now I can automatically narrow this down to just 2 options because I know that only cardioids and limosomes have either addition or subtraction. Since this equation has subtraction, it has to be either a cardioid or a limosome. Now we wanna pay attention to those a and b values. I have an a value of 1 and I have this sort of invisible one in front of that sign, so both my a and b values are 1. Because these a and b values are equal to each other, that leaves us with just one option that this is the equation of a cardioid. So here I my final answer is that this is a cardioid r equals 1 minus sine theta. Thanks for watching, and I'll see you in the next one.