My Math Forum

My Math Forum (http://mymathforum.com/math-forums.php)
-   Abstract Algebra (http://mymathforum.com/abstract-algebra/)
-   -   Equivalence relation, complex numbers (http://mymathforum.com/abstract-algebra/340151-equivalence-relation-complex-numbers.html)

faker97 April 21st, 2017 08:21 AM

Equivalence relation, complex numbers
 
https://gyazo.com/c0663bbc6abe1224ba5ea32de4568cec Any ideas on how to progress with this? Do you cube and add 2pi to the arguments? For the second part is it acceptable to rewrite -2 in exponential form and then continue from there? Thanks

Maschke April 21st, 2017 09:16 AM

Quote:

Originally Posted by faker97 (Post 568012)
https://gyazo.com/c0663bbc6abe1224ba5ea32de4568cec Any ideas on how to progress with this? Do you cube and add 2pi to the arguments? For the second part is it acceptable to rewrite -2 in exponential form and then continue from there? Thanks

Hint: $1 \sim e^{\frac{2\pi}{3}} \sim e^{\frac{4\pi}{3}}$.

faker97 April 21st, 2017 09:49 AM

Thanks for the reply. So for e^(ipi/4) you would get e^(11pi/12), e^(19pi/12) and so on?

Maschke April 21st, 2017 11:35 AM

Hint on the other one. Why doesn't the idea of rotations work with ${-2}$?


All times are GMT -8. The time now is 05:25 PM.

Copyright © 2019 My Math Forum. All rights reserved.