List questions from complex-numbers

Published on 17 Apr 2026 - 1:00

377

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How to transform the complex number $\frac{(1+i)^{29}}{1-i}$ to the form $a + bi$?

Published on 15 Apr 2026 - 18:41

6.7k

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Write an expression for $(\cos θ + i\sin θ)^4$ using De Moivre’s Theorem.

Published on 14 Apr 2026 - 17:11

3.5k

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How does (cosx+isinx)^4 equate to 1-8 cos^2(x)+8 cos^4(x)-4 i cos(x) sin(x)+8 i cos^3(x) sin(x)

Published on 16 Apr 2026 - 16:41

160

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Complex analysis $\int^{2\pi}_0 \frac{d \theta}{(2-\sin \theta)^2}$

Published on 16 Apr 2026 - 11:11

121

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Find the possible values of |A + B + C |

Published on 14 Apr 2026 - 16:10

3.4k

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Find exact value of $\cos (\frac{2\pi}{5})$ using complex numbers.

Published on 14 Apr 2026 - 5:22

6.1k

Views

How to calculate $i^i$

Published on 09 Apr 2026 - 3:27

9.7k

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Complex number isomorphic to certain $2\times 2$ matrices?

Published on 13 Apr 2026 - 10:48

135

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Open and closed complex sets

Published on 09 Apr 2026 - 18:45

114

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If $|\alpha|\leq 1$ and $|\beta|\leq 1$, prove that $|\alpha+\beta|\leq |1+\overline{\alpha}\beta|$

Published on 19 Apr 2026 - 11:24

117

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Funny interconnection between a triangle and the ellipse inscribed

Published on 14 Apr 2026 - 7:06

178

Views

Finding all z (complex) that satisfies an equation

Published on 10 Apr 2026 - 2:35

201

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Finding $J$ such that this diagram commutes

Published on 13 Apr 2026 - 22:28

7.5k

Views

Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis

Published on 16 Apr 2026 - 3:15

List Question

How to solve: $x^4+x^2=1$

How to transform the complex number $\frac{(1+i)^{29}}{1-i}$ to the form $a + bi$?

Write an expression for $(\cos θ + i\sin θ)^4$ using De Moivre’s Theorem.

How does (cosx+isinx)^4 equate to 1-8 cos^2(x)+8 cos^4(x)-4 i cos(x) sin(x)+8 i cos^3(x) sin(x)

Complex analysis $\int^{2\pi}_0 \frac{d \theta}{(2-\sin \theta)^2}$

Find the possible values of |A + B + C |

Find exact value of $\cos (\frac{2\pi}{5})$ using complex numbers.

How to calculate $i^i$

Complex number isomorphic to certain $2\times 2$ matrices?

Open and closed complex sets

If $|\alpha|\leq 1$ and $|\beta|\leq 1$, prove that $|\alpha+\beta|\leq |1+\overline{\alpha}\beta|$

Funny interconnection between a triangle and the ellipse inscribed

Finding all z (complex) that satisfies an equation

Finding $J$ such that this diagram commutes

Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis

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