This is quite a large assignment you are expecting help with. What have you done so far?
Hi, I got my new internal assessment in math today and I found it quite complicated at some points. So, I'd appreciate if you could help me out.
It goes like this:
- Use de Moivre's theorem to obtain solutions to the equation z^{3}-1=0
- Use graphing software to plot these roots on an Argand diagram as well as a unit circle with centre origin.
- Choose a root and draw line segments from this root to the other two roots.
- Repeat those above for z^{4}-1=0 and z^{5}-1=0, comment your result and try to formulate a conjecture.
- Prove your conjecture.
Part B
- Use de Moivre's theorem to obtain solutions to Z^{n}=i
- Represent each of these solutions on an Arganda diagram
- Generalize and prove your result for Z^{n}=a+bi, where /a+bi/ = 1
- What happens when /a+bi/ is not equal to 1
duplicate thread ...
Patterns from complex numbers (part A & B)