Okay, So this problem, once you lot are equals to sign data using our value analysis. So we get our eagles who signed there. We can tell that this is ah, polar equation of a circle, specifically a circle that is a bottle of vertical axis of that is above the horizontal axis. Sorry. So, since we know the general shape of it, let's just Tom walk through the our value analysis. So starting out data equals zero sign who leaves? Data was signed off. Zero would be zero. So we would have start off with absolute our value zero. And as that increases to pi over two, um, are absolute value of our would become too. So in the interval, from zero up IRA to absolute value of our increase, these increases from zero up I or two. And we know that for this range, the our value is positive because this isn't the first quadrant. Now for a second quadrant. Ah, For what? The interval range of pirates of pie. Okay, the absolute value of our will decrease from 2 to 0 while still being positive. Whoever at Pi, the sine function crosses the horizontal axis and then becomes negative. And for this interval, you know, isn't it is negative. The absolute value of our will still increase from 0 to 2. And on the interval, data range from three Piper to the two prior to but to pie just to buy it is still negative and the absolute value of our will decrease from 2 to 0. So if we were to plot this starting with 101 which is they don't from zero to pirate to our increases from 0 to 2. So if we were to call, I increase from the other two like that. And for quality in two from pirates with a pirate to two pi, our decreases from 2 to 0. So are de pieces from 2 to 0 and this would complete your circle. Now, if you were to go into our third quadrant, our third quadrant were the fatal range of from pied a three pi over to our absolute value of our increases from zero to a yet again. However, our value is negative because of the sine function. So that would mean we would have to rotate our plot 180 degrees. So instead of plotting it in 1/3 water. We would have to plant it in the first quarter because that's 180 degrees rotation and the R value. As it says, it increases from 0 to 2. So we're essentially overlapping it again and creating another circle. And the same thing applies for the fourth quarter. The fourth quarter is still negative. So instead of plotting in the fourth quarter, we be plotting in the second quadrant and it decreases from 20 We will be were, essentially just drawing two circles, two overlapping circles.