Roots of Unity (AQA A-Level Further Maths): Quizzes

5

1

$z = e^{\frac{2k\pi i}{n}}$

$k = 0$ to $n-1$

$\frac{2\pi}{n}$

0

$-\frac{1}{2} + \frac{\sqrt{3}}{2}i$

1

$r^{\frac{1}{n}}e^{\frac{(\theta+2k\pi)i}{n}}$

Sum formula gives $\frac{1-\omega^n}{1-\omega}=0$