Evaluate
$$\mathcal{P}= \left ( \frac{1+\sqrt{3}}{2\sqrt{2}}+ i \frac{\sqrt{3}-1}{2\sqrt{2}} \right )^{72}$$
Solution
$$\mathcal{P}= \left ( \frac{1+\sqrt{3}}{2\sqrt{2}}+ i \frac{\sqrt{3}-1}{2\sqrt{2}} \right )^{72}$$
Solution
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Showing posts with label Complex Numbers. Show all posts
Showing posts with label Complex Numbers. Show all posts
Wednesday, April 6, 2016
Monday, September 7, 2015
Sum with complex numbers
Let $z \in \mathbb{C}$ such that $z^{2017}=1$ and $z\neq 1$. Evaluate the sum $\displaystyle \sum_{n=1}^{2017} \frac{1}{1+z^n}$.
Solution
Solution
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