Hello from MrBillDoesMath!
Answer:
a = 0, b = 1/2
Discussion:
z1 = 2 cis120, z2 = 4 cis30
NOTE: The question states z2 = 4cis20 but the image shows 4cis30. I'm using the values shown in the image.
z1/z2 =
2 cis120 / 4 cis30 =
(2/4) cis(120-30) =
(1/2) cis(90) =
(1/2) (cos90 + i sin90) = => as cos90 = 0 and sin90 =1
(1/2) (0 + i) =
0 + (1/2) i
If z1/z2 = a + bi, then a = 0. and b = 1/2
Thank you,
MrB
