# Math Help - Prove by induction - complex numbers

1. ## Prove by induction - complex numbers

Hello,
I had a rule relating the power n in an equation of Z^n= a+bi , where l a+bi l =1 , to the length of side of the regular polygon formed by the roots of the equations on Cartesian plane.
The rule I got is : D=2sin(pi/n)
I need to prove this relation using mathematical induction.
Thanks.

2. ## Re: Prove by induction - complex numbers

Originally Posted by Hyunqul
Hello,

I had a rule relating the power n in an equation of Z^n= a+bi , where l a+bi l =1 , to the length of side of the regular polygon formed by the roots of the equations on Cartesian plane.
The rule I got is : D=2sin(pi/n)
I need to prove this relation using mathematical induction.

Thanks.
You are asking this same question in several threads, including here: http://www.mathhelpforum.com/math-he...de-187045.html

Thread closed.