• Want to level up your HSC prep on those harder Maths questions?
    Register now for the BoS Trials (7th October)!

De Moirve's Theorem (1 Viewer)

teanido

New Member
Joined
Dec 4, 2005
Messages
29
Gender
Female
HSC
N/A
1 - cos pi/7 + i sin pi/7
___________________

1 - cos pi/7 - i sin pi/7

How to simplify that?

Whoops, wait, the whole thing is to the power of 7...
 
Last edited:

jyu

Member
Joined
Nov 14, 2005
Messages
622
Gender
Male
HSC
2006
teanido said:
1 - cos pi/7 + i sin pi/7
___________________

1 - cos pi/7 - i sin pi/7

How to simplify that?
Multiply top and bottom by the conjugate of the bottom.
Expand and simplify using sinsq + cossq =1.
Factorise and cancel common factor (2 - 2cos(pi/7)) to obtain -cos(pi/7) + isin(pi/7)

:santa:
 

teanido

New Member
Joined
Dec 4, 2005
Messages
29
Gender
Female
HSC
N/A
... Guess I wasn't thinking today, wrote out the question above wrong, tomorrow got a major 2 hour exam on curve sketching and complex numbers..
 

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

Top