Question

Proving $\frac{1}{2}\left(e^{in\theta}-e^{-in\theta}\right) +\frac{1}{2}\left(e^{in\theta}+e^{-in\theta}\right)\\$

score 101 · Answer 1 · 2026-04-13 21:47:10

101

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Proving $\frac{1}{2}\left(e^{in\theta}-e^{-in\theta}\right) +\frac{1}{2}\left(e^{in\theta}+e^{-in\theta}\right)\\$

Published on 13 Apr 2026 - 21:47

score 50 · Answer 2 · 2026-04-11 10:27:08

50

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Determining Complex number

Published on 11 Apr 2026 - 10:27

score 70 · Answer 3 · 2026-04-16 01:59:03

70

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How to prove that :$\prod_{k=0}^{n-1}e^{\frac{2\pi i k}{n}}=(-1)^{n-1}\;\;\; n\in\mathbb{N}^*$

Published on 16 Apr 2026 - 1:59

score 95 · Answer 4 · 2026-04-16 11:37:37

95

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How to find the roots of $x^6 + x^5 +x^4 + x^3 +x^2 + x = n$ using trigonometric methods

Published on 16 Apr 2026 - 11:37

score 771 · Answer 5 · 2026-04-12 04:49:15

771

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Is the power of complex number defined yet?

Published on 12 Apr 2026 - 4:49

score 6.6k · Answer 6 · 2026-04-13 21:31:54

6.6k

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Prove that $\cos(z)$ and $\sin(z)$ are surjective over the complex numbers.

Published on 13 Apr 2026 - 21:31

score 52 · Answer 7 · 2026-04-16 15:09:07

52

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Cauchy-Riemann $w = |z^2|$

Published on 16 Apr 2026 - 15:09

score 2.2k · Answer 8 · 2026-04-13 09:51:52

2.2k

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Proving the Mandelbrot set is bounded

Published on 13 Apr 2026 - 9:51

score 590 · Answer 9 · 2026-04-14 06:23:43

590

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Principal values of complex functions

Published on 14 Apr 2026 - 6:23

score 419 · Answer 10 · 2026-04-08 21:13:44

419

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relationship between complex numbers

Published on 08 Apr 2026 - 21:13

score 51 · Answer 11 · 2026-04-16 08:25:36

51

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Product of the n roots of the unity can be $(-1)^{n-1}$

Published on 16 Apr 2026 - 8:25

score 103 · Answer 12 · 2026-04-09 05:22:57

103

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Operations with complex numbers to give real numbers

Published on 09 Apr 2026 - 5:22

score 107 · Answer 13 · 2026-04-12 07:22:29

107

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Complex roots of a complex number

Published on 12 Apr 2026 - 7:22

score 1.6k · Answer 14 · 2026-04-12 21:36:20

1.6k

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What is the real and imaginary parts for the complex function $f(z)=z^z$

Published on 12 Apr 2026 - 21:36

score 48 · Answer 15 · 2026-04-15 09:00:45

48

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Maximum of $P$ in the disk $|z|=1$ depending on co-efficients

Published on 15 Apr 2026 - 9:00

List Question

Proving $\frac{1}{2}\left(e^{in\theta}-e^{-in\theta}\right) +\frac{1}{2}\left(e^{in\theta}+e^{-in\theta}\right)\\$

Determining Complex number

How to prove that :$\prod_{k=0}^{n-1}e^{\frac{2\pi i k}{n}}=(-1)^{n-1}\;\;\; n\in\mathbb{N}^*$

How to find the roots of $x^6 + x^5 +x^4 + x^3 +x^2 + x = n$ using trigonometric methods

Is the power of complex number defined yet?

Prove that $\cos(z)$ and $\sin(z)$ are surjective over the complex numbers.

Cauchy-Riemann $w = |z^2|$

Proving the Mandelbrot set is bounded

Principal values of complex functions

relationship between complex numbers

Product of the n roots of the unity can be $(-1)^{n-1}$

Operations with complex numbers to give real numbers

Complex roots of a complex number

What is the real and imaginary parts for the complex function $f(z)=z^z$

Maximum of $P$ in the disk $|z|=1$ depending on co-efficients

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