- #1
TheColector
- 29
- 0
Member advised to use the homework template for posts in the homework sections of PF.
Hi
I was hoping some of you would give me a clue on how to solve this complex number task.
z = (1 +(√3 /2) + i/2)^24 → x=(1 +(√3 /2), y= 1/2
I think there must be some nice looking way to solve it.
My way was to calculate |z| which was equal to [√(3+2√3)]/2 → cosθ = x/|z|, sinθ= y/|z|
After using De Moivre's formula I got very awful result which was:
z = |z|^24 * (cos(24*θ) + i sin(24*θ))
Can you think of any better looking way to solve this ?
I was hoping some of you would give me a clue on how to solve this complex number task.
z = (1 +(√3 /2) + i/2)^24 → x=(1 +(√3 /2), y= 1/2
I think there must be some nice looking way to solve it.
My way was to calculate |z| which was equal to [√(3+2√3)]/2 → cosθ = x/|z|, sinθ= y/|z|
After using De Moivre's formula I got very awful result which was:
z = |z|^24 * (cos(24*θ) + i sin(24*θ))
Can you think of any better looking way to solve this ?