Question

Given that $z = \cos(θ) + i\cdot \sin(θ)$ show that

score 756 · Answer 1 · 2026-04-14 13:59:51

756

Views

Given that $z = \cos(θ) + i\cdot \sin(θ)$ show that

Published on 14 Apr 2026 - 13:59

score 707 · Answer 2 · 2026-04-14 02:58:20

707

Views

Write down the third root, z3, of the equation.

Published on 14 Apr 2026 - 2:58

score 704 · Answer 3 · 2026-04-13 03:11:39

704

Views

Basic math - normalizing the denominator

Published on 13 Apr 2026 - 3:11

score 509 · Answer 4 · 2026-04-12 10:59:48

509

Views

Simplify $|e^\alpha|$ and $|e^{i\alpha}|$.

Published on 12 Apr 2026 - 10:59

score 168 · Answer 5 · 2026-04-16 12:58:14

168

Views

$f$ entire and non-constant function, then for fix $x \in \mathbb{C}$ the set of $(z \in \mathbb{C} : f(z)=x)$ is finite or countable.

Published on 16 Apr 2026 - 12:58

score 27 · Answer 6 · 2026-04-11 01:33:43

27

Views

Fourier Series Complex Algebraic Expressions Help

Published on 11 Apr 2026 - 1:33

score 220 · Answer 7 · 2026-04-16 14:19:32

220

Views

$f$ holomorphic function on an open set with finite number of zero, then $f=pg$

Published on 16 Apr 2026 - 14:19

score 80 · Answer 8 · 2026-04-12 16:10:07

80

Views

General Solution of $|z-a| + |z-b| = c$

Published on 12 Apr 2026 - 16:10

score 43 · Answer 9 · 2026-03-27 14:29:23

43

Views

Primitive root of unity, GCD-Identity

Published on 27 Mar 2026 - 14:29

score 80 · Answer 10 · 2026-04-16 10:34:19

80

Views

$P$ non-constant polynomial, then there is for each $a>0$ there is $b>0$

Published on 16 Apr 2026 - 10:34

score 79 · Answer 11 · 2026-04-15 16:35:58

79

Views

Is it OK to write $z^{1/2} = \pm z^{1/2}$, where $z \in C$?

Published on 15 Apr 2026 - 16:35

score 61 · Answer 12 · 2026-04-16 14:26:22

61

Views

Find area of the polygon with corners defined by the roots of $\sqrt{7}+3i-x^{2n}=0$, as $n\to \infty$

Published on 16 Apr 2026 - 14:26

score 147 · Answer 13 · 2026-04-12 10:45:08

147

Views

Finding a Parametrization for a Linear Path in $\mathbb{C}$

Published on 12 Apr 2026 - 10:45

score 205 · Answer 14 · 2026-04-11 11:10:43

205

Views

Solving $f''(x) = -f(x)$ without using Euler's formula

Published on 11 Apr 2026 - 11:10

score 348 · Answer 15 · 2026-04-09 00:54:10

348

Views

Is it possible to use set-builder notation to define the reals using the complex numbers?

Published on 09 Apr 2026 - 0:54

List Question

Given that $z = \cos(θ) + i\cdot \sin(θ)$ show that

Write down the third root, z3, of the equation.

Basic math - normalizing the denominator

Simplify $|e^\alpha|$ and $|e^{i\alpha}|$.

$f$ entire and non-constant function, then for fix $x \in \mathbb{C}$ the set of $(z \in \mathbb{C} : f(z)=x)$ is finite or countable.

Fourier Series Complex Algebraic Expressions Help

$f$ holomorphic function on an open set with finite number of zero, then $f=pg$

General Solution of $|z-a| + |z-b| = c$

Primitive root of unity, GCD-Identity

$P$ non-constant polynomial, then there is for each $a>0$ there is $b>0$

Is it OK to write $z^{1/2} = \pm z^{1/2}$, where $z \in C$?

Find area of the polygon with corners defined by the roots of $\sqrt{7}+3i-x^{2n}=0$, as $n\to \infty$

Finding a Parametrization for a Linear Path in $\mathbb{C}$

Solving $f''(x) = -f(x)$ without using Euler's formula

Is it possible to use set-builder notation to define the reals using the complex numbers?

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