Question

Sum of three power of seventh roots of unity form a regular 7 - gon inside a circle

score 120 · Answer 1 · 2026-03-27 17:40:27

120

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Sum of three power of seventh roots of unity form a regular 7 - gon inside a circle

Published on 27 Mar 2026 - 17:40

score 44 · Answer 2 · 2026-04-16 22:12:07

44

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Why is $\left.\frac {-1} {s+a} e^{-(s+a)t}\right\vert_{t=0}^{t=\infty}= \frac 1 {s+a}$ and that the ROC is: $\operatorname{Re}(s+a)>0$?

Published on 16 Apr 2026 - 22:12

score 37 · Answer 3 · 2026-04-15 03:43:05

37

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What form is this equation $Z1 = r^2(\sin (\theta) + i\cos(\theta))$?

Published on 15 Apr 2026 - 3:43

score 73 · Answer 4 · 2026-04-13 13:05:11

73

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Does the complex series converge or diverge?

Published on 13 Apr 2026 - 13:05

score 166 · Answer 5 · 2026-04-10 20:46:54

166

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Complex number proof involving angles

Published on 10 Apr 2026 - 20:46

score 442 · Answer 6 · 2026-04-09 00:22:10

442

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Showing that a complex-valued function is constant

Published on 09 Apr 2026 - 0:22

score 209 · Answer 7 · 2026-04-16 20:40:33

Need help to understand how to deduce the value of $\cos^2\displaystyle\big(\frac{\pi}{5}\big)+\cos^2\big(\frac{2\pi}{5}\big)$

score 117 · Answer 8 · 2026-04-08 16:09:04

117

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Limits in Complex sequences

Published on 08 Apr 2026 - 16:09

score 98 · Answer 9 · 2026-04-14 22:24:15

98

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Show that a polynomial p can't have both roots 1 and i

Published on 14 Apr 2026 - 22:24

score 63 · Answer 10 · 2026-04-09 01:31:25

63

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How to apply Givens rotation to a matrix with complex elements?

Published on 09 Apr 2026 - 1:31

score 83 · Answer 11 · 2026-04-11 10:32:04

83

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What would be geometrically analogous to adding or multplying points on the plane $\mathbb R^2$? ( On complex numbers).

Published on 11 Apr 2026 - 10:32

score 207 · Answer 12 · 2026-04-13 20:27:24

207

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Line reflections on the complex plane

Published on 13 Apr 2026 - 20:27

score 335 · Answer 13 · 2026-04-13 22:19:06

335

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Prove complex number is purely real

Published on 13 Apr 2026 - 22:19

score 25 · Answer 14 · 2026-04-15 02:09:53

25

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How to prove that these triangles will be similar using the given relation?

Published on 15 Apr 2026 - 2:09

score 1.1k · Answer 15 · 2026-03-27 04:38:15

1.1k

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Prove that $\frac12 + \cos (a) + \cos (2a) + ... + \cos (na) = \frac{\sin ((n+1/2)a)}{ 2sin(a/2)}$

Published on 27 Mar 2026 - 4:38

List Question

Sum of three power of seventh roots of unity form a regular 7 - gon inside a circle

Why is $\left.\frac {-1} {s+a} e^{-(s+a)t}\right\vert_{t=0}^{t=\infty}= \frac 1 {s+a}$ and that the ROC is: $\operatorname{Re}(s+a)>0$?

What form is this equation $Z1 = r^2(\sin (\theta) + i\cos(\theta))$?

Does the complex series converge or diverge?

Complex number proof involving angles

Showing that a complex-valued function is constant

Need help to understand how to deduce the value of $\cos^2\displaystyle\big(\frac{\pi}{5}\big)+\cos^2\big(\frac{2\pi}{5}\big)$

Limits in Complex sequences

Show that a polynomial p can't have both roots 1 and i

How to apply Givens rotation to a matrix with complex elements?

What would be geometrically analogous to adding or multplying points on the plane $\mathbb R^2$? ( On complex numbers).

Line reflections on the complex plane

Prove complex number is purely real

How to prove that these triangles will be similar using the given relation?

Prove that $\frac12 + \cos (a) + \cos (2a) + ... + \cos (na) = \frac{\sin ((n+1/2)a)}{ 2sin(a/2)}$

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