Question

Look at attachment....

Answer 1

@ganeshie8 Do you know this?

Answer 2

I think D is correct

Answer 3

lets change both to polar \(r\angle \theta \) form

Answer 4

I have a feeling it is A or D.....

Answer 5

3+3i

r = \(\sqrt{3^2+3^2} = 3\sqrt{2}\)

Answer 6

Then would tangent be tan=b/a= 3/3=1?

Answer 7

yes, \(\theta = \pi/4 \)

Answer 8

z1 = \(3\sqrt{2} \angle \pi/4 \)

Answer 9

clearly

z2 = \(7\angle 5\pi/9\)

Answer 10

z1 z2 = (product of r) \(\angle \) (sum of angles)

Answer 11

product of r's = \(21\sqrt{2}\)

Answer 12

sum of angles = \(\pi/4 + 5\pi/9 = ?\)

Answer 13

\[\frac{ 29\Pi }{ 36 }\]

Answer 14

so z1z2 = \(21\sqrt{2} \angle 29\pi / 36\)

Answer 15

Thank you so much!!!

Answer 16

np :)

Answer 17

multiplication or division : polar form
addition or subtraction : rectangular form

Answer 18

they're easy to work out in those respective forms

Answer 19

Will you help me on other problems in the next 10 min if I have some? @ganeshie8

Answer 20

sure happy to give a hand if i can :)

Answer 21

Thanks!!!!

Answer 22

np :)