• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

Mod-arg conversion??? (1 Viewer)

Michaelmoo

cbff...
Joined
Sep 23, 2008
Messages
591
Gender
Male
HSC
2009
Find the following in x + iy form:

(3-4i)^5
-----------
(4+3i)^3

Im gettng 24-7i, but the answer says 24 + 7i???

ITs out of the fitzpatrick exercisess...

Thanks
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,998
Gender
Male
HSC
N/A
Michaelmoo said:
Find the following in x + iy form:

(3-4i)^5
-----------
(4+3i)^3

Im gettng 24-7i, but the answer says 24 + 7i???

ITs out of the fitzpatrick exercisess...

Thanks
(5(cos(-0.9272...) + isin(-0.9272...))^5/(5(cos0.6435...+isin0.6435...))^3
= (5cis(-0.9272))^5/(5cis(0.6435...)^3
= 25cis(-6.5669...) = 25(cos(-6.5669...) + isin(-6.5669...)) = 24 - 7i
 

Michaelmoo

cbff...
Joined
Sep 23, 2008
Messages
591
Gender
Male
HSC
2009
lyounamu said:
(5(cos(-0.9272...) + isin(-0.9272...))^5/(5(cos0.6435...+isin0.6435...))^3
= (5cis(-0.9272))^5/(5cis(0.6435...)^3
= 25cis(-6.5669...) = 25(cos(-6.5669...) + isin(-6.5669...)) = 24 - 7i

Thanks. Yer this isnt the first mistake in the Fitzpatrick Solutions. To me there seems to be quite a few =/
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,998
Gender
Male
HSC
N/A
Michaelmoo said:
Thanks. Yer this isnt the first mistake in the Fitzpatrick Solutions. To me there seems to be quite a few =/
Was the answer wrong?
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top