A few complex number qs (1 Viewer)

5uckerberg

Well-Known Member
Joined
Oct 15, 2021
Messages
547
Gender
Male
HSC
2018
For d when you have this implies that you need to double the argument to obtain the arg of z so in turn

.
Thus,
 

=)(=

Active Member
Joined
Jul 14, 2021
Messages
300
Gender
Male
HSC
2023
I got that but in the solution for some reason they also drew in (-2pi/3)
 

yanujw

Active Member
Joined
May 23, 2020
Messages
186
Gender
Male
HSC
2022
I got that but in the solution for some reason they also drew in (-2pi/3)
This is because squaring complex nos with arg (-2pi/3) gives them an arg of -4pi/3, which is an equilvalent arg to 2pi/3 and therefore satisfies the condition.
 

=)(=

Active Member
Joined
Jul 14, 2021
Messages
300
Gender
Male
HSC
2023
ohh okay I see but how would you get that working from pi/3
 

5uckerberg

Well-Known Member
Joined
Oct 15, 2021
Messages
547
Gender
Male
HSC
2018
De Moivre's Theorem that is what is happening squaring the angle doubles the angle of rotation and so on.
 

=)(=

Active Member
Joined
Jul 14, 2021
Messages
300
Gender
Male
HSC
2023
I still can't see it for some reason
 

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

Top