Question

11. Use w and z to solve.
z = (- 5 √3 )/ 2 + (5/2)i
w = 1 + (√3) i
a. Convert z and w to polar form.
b. Convert zw using De Moivre’s Theorem.
c. Calculate z / w using De Moivre’s Theorem.

Answer 1

First of all. We shall solve a)

i) Converting z into polar form :

If a + bi is the complex number then \(r\cos \theta = a\) and \(r\sin \theta = b\)

Similarly, we have here : \(z = \cfrac{-5\sqrt{3}}{2} + \cfrac{5}{2} i \) as the complex number. Can you tell me what is \(r\cos \theta\) and \(r \sin \theta \) here ... ?

Answer 2

juicy question. i'll leave this to u bro

Answer 3

im not sure

Answer 4

You there @kaylalynn ?

Answer 5

ya

Answer 6

i said im not sure. :(

Answer 7

Oh;. I didn't notice that.