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Divergence in the Complex Plane

score 856 · Answer 1 · 2026-05-05 09:19:37

856

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Divergence in the Complex Plane

Published on 05 May 2026 - 9:19

score 317 · Answer 2 · 2026-04-15 05:22:11

317

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Finding maximum value of $\arg(z_{1})-\arg(z_{2})$

Published on 15 Apr 2026 - 5:22

score 352 · Answer 3 · 2026-04-29 12:09:49

352

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computing $A_2=\sum_{k=1}^{n}\frac{1}{(z_k-1)^2} $ and $\sum_{k=1}^n \cot^2\left( \frac{k\pi}{n+1}\right)$

Published on 29 Apr 2026 - 12:09

score 85 · Answer 4 · 2026-04-10 10:15:14

85

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How to proceed in this Complex Numbers and Polynomials question?

Published on 10 Apr 2026 - 10:15

score 60 · Answer 5 · 2026-04-09 14:53:07

60

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How to proceed on this Complex Numbers question?

Published on 09 Apr 2026 - 14:53

score 127 · Answer 6 · 2026-04-12 10:59:45

127

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Combining strictly positive numbers to complex powers?

Published on 12 Apr 2026 - 10:59

score 76 · Answer 7 · 2026-04-12 15:27:46

76

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Solve $\lvert z \lvert = z^4, z \in \mathbb{C}$

Published on 12 Apr 2026 - 15:27

score 1.9k · Answer 8 · 2026-04-17 07:47:34

1.9k

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Proving $ \sin4\theta = 4\cos^3\theta \sin\theta - 4\cos\theta \sin^3 \theta$

Published on 17 Apr 2026 - 7:47

score 3k · Answer 9 · 2026-05-05 00:32:06

3k

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The complex equation $x^3 = 9 + 46i$ has a solution of the form $a + bi$ where $a,b\in \mathbb Z$. Find the value of $a^3 + b^3$

Published on 05 May 2026 - 0:32

score 123 · Answer 10 · 2026-05-05 04:07:47

123

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When are $\left(\frac{a}{b}\right)^c$ and $\frac{a^c}{b^c}$ equivalent?

Published on 05 May 2026 - 4:07

score 93 · Answer 11 · 2026-04-29 12:53:16

93

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Complex $\log$ manipulation rules

Published on 29 Apr 2026 - 12:53

score 374 · Answer 12 · 2026-04-16 05:59:39

374

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limit $\lim_{n\to \infty} n\left[1-\cos\left(\frac{\theta}{n}\right) -i\sin\left(\frac{\theta}{n}\right)\right]$

Published on 16 Apr 2026 - 5:59

score 5.4k · Answer 13 · 2026-04-17 10:21:21

5.4k

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Proving complex series $1 + \cos\theta + \cos2\theta +... + \cos n\theta $

Published on 17 Apr 2026 - 10:21

score 30 · Answer 14 · 2026-04-10 20:56:39

30

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Finding the solution to these equation

Published on 10 Apr 2026 - 20:56

score 934 · Answer 15 · 2026-04-12 18:23:51

934

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How many different complex numbers $z$ satisfying equation $z^4 = 1$ are there?

Published on 12 Apr 2026 - 18:23

List Question

Divergence in the Complex Plane

Finding maximum value of $\arg(z_{1})-\arg(z_{2})$

computing $A_2=\sum_{k=1}^{n}\frac{1}{(z_k-1)^2} $ and $\sum_{k=1}^n \cot^2\left( \frac{k\pi}{n+1}\right)$

How to proceed in this Complex Numbers and Polynomials question?

How to proceed on this Complex Numbers question?

Combining strictly positive numbers to complex powers?

Solve $\lvert z \lvert = z^4, z \in \mathbb{C}$

Proving $ \sin4\theta = 4\cos^3\theta \sin\theta - 4\cos\theta \sin^3 \theta$

The complex equation $x^3 = 9 + 46i$ has a solution of the form $a + bi$ where $a,b\in \mathbb Z$. Find the value of $a^3 + b^3$

When are $\left(\frac{a}{b}\right)^c$ and $\frac{a^c}{b^c}$ equivalent?

Complex $\log$ manipulation rules

limit $\lim_{n\to \infty} n\left[1-\cos\left(\frac{\theta}{n}\right) -i\sin\left(\frac{\theta}{n}\right)\right]$

Proving complex series $1 + \cos\theta + \cos2\theta +... + \cos n\theta $

Finding the solution to these equation

How many different complex numbers $z$ satisfying equation $z^4 = 1$ are there?

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