00:01
Okay, this question asks us about the family of curves, r equals negative 2a sine theta.
00:09
So, to start, we're just going to convert this into rectangular form.
00:15
So, multiplying by r on both sides, so we can get our conversions, we get r squared is equal to negative 2a times r sine theta.
00:30
Then, we can replace our sine theta with y and our r squared, so we get x squared plus y squared is equal to negative 2a y.
00:48
So then adding, to get all the y's on the same side, we get x squared plus y squared plus 2a y is equal to 0.
00:59
And now this looks like a circle, but to get it in standard form, we're going to have to complete the square...