Finl #ke Pvo Juct 2,22 Gmf Ike "uotien) 21 exPress anf Ler in Pctac fora 22 2,= [z ((os (5o')+ i Sin [ (50')) , 22= ' 2,22 43 _ (tos(45' ...

$49-56$ me product $z_{1} z_{2}$ and the quotient $z_{1} / z_{2}$ . Express your answer in polar form.
$$
\begin{array}{l}{z_{1}=\frac{4}{5}\left(\cos 25^{\circ}+i \sin 25^{\circ}\right)} \\ {z_{2}=\frac{1}{5}\left(\cos 155^{\circ}+i \sin 155^{\circ}\right)}\end{array}
$$

So we can solve for this quotient here z one the one divided by sea to buy first dividing our co efficient. So we have 45 divided by nine, which gives us a value of five. And for our angle here well, we can subtract 22 pi over 15 minus two pi over 15. So this gives us the value of 20 pi over 15 and we can rewrite this as four pi over three and then we have plus I sine for part three. So we know that Cosan of Four Pi over three is equal to negative 1/2. So we have five times negative 1/2 plus or rather minus because sign of four private three is negative. Route 3/2 I and so our solution here is is negative. 5/2 minus five, Route three over to I. And so this is our solution.

So we can solve for this quotient Here. See? One divided by sea to buy first dividing our co efficient. So we have 22 divided by 11 which gives us a value of two. So we have two times co sign and our angle here for this coastline is 11 pi over 18 minus 55 or 18. So 11 minus five gives us a value of six. And so 65 18 can be rewritten as pi over three. So you have coastline of firing three. Plus I sign of, however three. And so we know that co sign of private three is 1/2. So we have two times 1/2 plus Route 3/2 I. And so our solution here is one plus Route three. Hi. So this is our solution.

We have 55 number problem in which that one is given as four course 200 degree plus art, a sign two under degree and that tool week, even as that was given as 25 course 1 50 Duty Bless Hired a sign 1 50 duty. Okay, So if you compare with that when people who are one costed haven't plus out as he had teacher toe So we will be having our one equal to four Peter one equal to 200 similarly are to equal toe 25 that immortals of this was that too. And teacher to equal toe 150. So is that one into that will be our one in tow are too. Course Tito one close Peter too. Plus I sine Tito one plus Theta Tau. So this is four and two 25 of course to wonder degree plus 1 50 degree plus After saying 200 degree bless 1 50 TV. So that one into that tool equal to 100. Of course. Three under effectively. Plus, I hired a sign 350. Okay, Now that one by that too will they call toe? I don't buy are too, cause Tito and minus Tito. Plus I wrote Assign Titone minus theater toe four by 20. Fire, of course, Peter one. That is to wonder. Degree my as one opportunity. Plus after sign. 200 degree, minus 1 50 Duty. So this will be four by 25 cause 50 duty plus our doesn't interpret. Agree. Thank you so much.

We have 53 number problem in, which is that we need to given an for course 1 20 degree plus hired a sane 1 20 degree. And that, too, is given as toe cost activity plus iron Hossein 50 DVD. So yeah, are one convert in it. This is our one for Tito won the argument of this. That's one trend. Activity are two is equal toe two and three. That political duty activity so said one into. That too, is always are wanting to are two course Tito on Plus Tita too. Bless art Assign Tito one place potato so it just plug in The values they were getting is that ones that to equal toe are one is four into two Otto cause Peter one is 1 20 degree players after duty plus our Hossein 1 23 players that to duty. So this will be eight course 150 degree plus I sine wonders if to duty is that one Okay, now comes that run by that too. That in visit to which will be called to our one by r two course tetouan minus future too. Procida, sign Tito one minus two days. Our number two, which will be controlled for by two course. One fringe activity. My instructor Duty. Let's hired a sign one trying to duty. My instructor. Tingly. This will be to Teoh cause 90 degree plus I have assigned 90 degree, Which is Aaron Bisecting? Thank you so much.