List questions from complex-numbers

Published on 30 Mar 2026 - 8:29

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What are some neat ways to differentiate $\arctan(\frac yx)$?

Published on 27 May 2019 - 14:46

3.5k

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Adding two polar forms?

Published on 29 Mar 2026 - 13:20

694

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With which number should I multiply $z = a + i b$ to rotate it by 45 degrees

Published on 27 Mar 2026 - 12:34

1.9k

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Why is "division by $(z-1)$" valid here?

Published on 26 Mar 2026 - 17:51

193

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Deriving conservation laws from stress-energy tensor

Published on 06 Apr 2026 - 7:50

75

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The sum: $ 1+ {n \choose 1}\cos{\theta} + {n \choose 2}\cos{2\theta} + …. + {n \choose n}\cos{n\theta} $ equals

Published on 28 May 2019 - 11:33

39

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Doubt about description of group

Published on 08 Apr 2026 - 0:56

144

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Roots of Unity and Expressing numbers as linear combinations of primes

Published on 28 May 2019 - 13:44

104

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roots of equation lie on $x^2+y^2=1$

Published on 28 May 2019 - 14:40

341

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Laplace Transform (and Radius of Convergence?): $e^{-s \infty} = 0$?

Published on 29 Mar 2026 - 5:35

264

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Prove $32 \sin^6 x = -15 \cos (2x) + 6 \cos (4x) - \cos (6x) + 10$?

Published on 28 May 2019 - 16:52

86

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Can I reverse the modulo operator in complex numbers?

Published on 07 Apr 2026 - 18:00

142

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Prove that a function which is analytic in unit circle and satisfies $f(0)=1$ and $f(z) \ge 1 + |z|^ 2$ doesn't exist

Published on 25 Mar 2026 - 20:36

346

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if $|\tan z |=1$, then what $\Re(z)$ is equal to?

Published on 29 May 2019 - 7:13

List Question

How to compute $ \sum_{2k \le n} (-3)^k \binom{n}{2k} $

What are some neat ways to differentiate $\arctan(\frac yx)$?

Adding two polar forms?

With which number should I multiply $z = a + i b$ to rotate it by 45 degrees

Why is "division by $(z-1)$" valid here?

Deriving conservation laws from stress-energy tensor

The sum: $ 1+ {n \choose 1}\cos{\theta} + {n \choose 2}\cos{2\theta} + …. + {n \choose n}\cos{n\theta} $ equals

Doubt about description of group

Roots of Unity and Expressing numbers as linear combinations of primes

roots of equation lie on $x^2+y^2=1$

Laplace Transform (and Radius of Convergence?): $e^{-s \infty} = 0$?

Prove $32 \sin^6 x = -15 \cos (2x) + 6 \cos (4x) - \cos (6x) + 10$?

Can I reverse the modulo operator in complex numbers?

Prove that a function which is analytic in unit circle and satisfies $f(0)=1$ and $f(z) \ge 1 + |z|^ 2$ doesn't exist

if $|\tan z |=1$, then what $\Re(z)$ is equal to?

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