Question

Complex Numbers - Product of Linear Factors

score 240 · Answer 1 · 2026-04-11 12:13:23

240

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Complex Numbers - Product of Linear Factors

Published on 11 Apr 2026 - 12:13

score 74 · Answer 2 · 2026-04-12 13:00:24

74

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Solving complex polynomial equations

Published on 12 Apr 2026 - 13:00

score 62 · Answer 3 · 2026-04-16 08:57:43

62

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Let $z \neq -\iota$ be any complex number such that $\frac{z-\iota}{z+\iota}$ is a purely imaginary number. Then $z+\frac{1}{z}$ is:

Published on 16 Apr 2026 - 8:57

score 123 · Answer 4 · 2026-04-15 14:26:19

123

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How does one show that Im$(2e^y\sin(x+iy))=(e^{2y}-1)\cos(x)$?

Published on 15 Apr 2026 - 14:26

score 59 · Answer 5 · 2026-04-15 23:37:33

59

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Is my evaluation of complex trigonometric expression $\sin\left(\frac{\pi}{4}+2i\right) -\sin(2i)$ correct?

Published on 15 Apr 2026 - 23:37

score 2.4k · Answer 6 · 2026-04-16 13:53:33

2.4k

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solution of the cubic equation $x^3 = 0$?

Published on 16 Apr 2026 - 13:53

score 64 · Answer 7 · 2026-04-15 07:59:22

64

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Determine the values $z = a+ib \in \mathbb{C}$ such that $Im((2-i)z) \leq 1 \\ $

Published on 15 Apr 2026 - 7:59

score 35 · Answer 8 · 2026-04-13 20:54:37

35

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If $f(z) = z^3$ how is it graphed in the sector $0<arg(z)<\frac{\pi}{4}$

Published on 13 Apr 2026 - 20:54

score 254 · Answer 9 · 2026-04-11 09:08:13

254

Views

How to interpret the cosine and sine of complex number?

Published on 11 Apr 2026 - 9:08

score 78 · Answer 10 · 2026-04-23 01:49:17

78

Views

Complex number alternative notation

Published on 23 Apr 2026 - 1:49

score 253 · Answer 11 · 2026-04-23 02:09:50

253

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Why is it incorrect to say, $\lim_{x\rightarrow a}f(x)\notin\mathbb{C}$?

Published on 23 Apr 2026 - 2:09

score 217 · Answer 12 · 2026-04-17 01:24:54

217

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Proving $(e_{j})(k)=\frac{1}{\sqrt{N}}e^{(2\pi ijk)/N}$ is an orthonormal basis for $\mathbb C^n$

Published on 17 Apr 2026 - 1:24

score 39 · Answer 13 · 2026-04-13 17:07:50

39

Views

Summation of binomial coefficients with indices having difference of 4

Published on 13 Apr 2026 - 17:07

score 242 · Answer 14 · 2026-04-14 08:52:33

The points representing the complex number z for which |z + 1| < |z − 1| lies in the interior of a circle. State "TRUE" or "FALSE".

score 47 · Answer 15 · 2026-04-15 15:49:45

47

Views

can anyone give the answer?...this question has a paradox

Published on 15 Apr 2026 - 15:49

List Question

Complex Numbers - Product of Linear Factors

Solving complex polynomial equations

Let $z \neq -\iota$ be any complex number such that $\frac{z-\iota}{z+\iota}$ is a purely imaginary number. Then $z+\frac{1}{z}$ is:

How does one show that Im$(2e^y\sin(x+iy))=(e^{2y}-1)\cos(x)$?

Is my evaluation of complex trigonometric expression $\sin\left(\frac{\pi}{4}+2i\right) -\sin(2i)$ correct?

solution of the cubic equation $x^3 = 0$?

Determine the values $z = a+ib \in \mathbb{C}$ such that $Im((2-i)z) \leq 1 \\ $

If $f(z) = z^3$ how is it graphed in the sector $0<arg(z)<\frac{\pi}{4}$

How to interpret the cosine and sine of complex number?

Complex number alternative notation

Why is it incorrect to say, $\lim_{x\rightarrow a}f(x)\notin\mathbb{C}$?

Proving $(e_{j})(k)=\frac{1}{\sqrt{N}}e^{(2\pi ijk)/N}$ is an orthonormal basis for $\mathbb C^n$

Summation of binomial coefficients with indices having difference of 4

The points representing the complex number z for which |z + 1| < |z − 1| lies in the interior of a circle. State "TRUE" or "FALSE".

can anyone give the answer?...this question has a paradox

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