Question

Proving $\cot 20^\circ - \cot 40^\circ + \cot 80^\circ = \sqrt{3}$

score 1.3k · Answer 1 · 2026-04-17 03:48:32

1.3k

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Proving $\cot 20^\circ - \cot 40^\circ + \cot 80^\circ = \sqrt{3}$

Published on 17 Apr 2026 - 3:48

score 150 · Answer 2 · 2026-04-13 08:22:21

150

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Problem books on algebraic number theory

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score 366 · Answer 3 · 2026-04-14 08:44:14

366

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About the distribution of $\{k(\sqrt{2}-1)\mid k\in \mathbb{N}\}$

Published on 14 Apr 2026 - 8:44

score 253 · Answer 4 · 2026-04-15 13:54:48

253

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Derangement Question: last person has correct seat

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score 264 · Answer 5 · 2026-04-12 16:18:49

264

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Hotel room number problem

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score 70 · Answer 6 · 2026-04-17 02:39:23

70

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Convergence of $\int_0^1 \frac{\ln x}{\sqrt x (1+x^2)}dx$

Published on 17 Apr 2026 - 2:39

score 64 · Answer 7 · 2026-04-13 17:12:33

64

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Examine the convergence of the following improper integrals.

Published on 13 Apr 2026 - 17:12

score 117 · Answer 8 · 2026-04-16 08:54:40

Why can integers a,b be found for $0 < a+b \sqrt{2} \leq \frac{1+\sqrt{2}}{m+2}$ for all positive integers m when a,b are less than m?

score 92 · Answer 9 · 2026-04-16 07:23:48

92

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Strategy to prove $\int_0^1(f'(x)^2dx \geq3 (\int_0^1 f(x)dx)^2 $ if $f(1)=0$

Published on 16 Apr 2026 - 7:23

score 100 · Answer 10 · 2026-04-15 21:25:10

100

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Convergence test of the improper integral $\int_0^{\pi/2} \frac{1}{\cos\alpha-\cos x}dx$

Published on 15 Apr 2026 - 21:25

score 204 · Answer 11 · 2026-04-11 12:35:26

204

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How to solve Maths Problem without algebra way. Primary School Question

Published on 11 Apr 2026 - 12:35

score 78 · Answer 12 · 2026-04-12 12:10:12

78

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techniques of proving a system of non-linear equations has no solution in a given domain

Published on 12 Apr 2026 - 12:10

score 91 · Answer 13 · 2026-04-16 14:02:43

91

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If $f(x) + xf(-x) = x^2$ + 1, find what is $f(x)$?

Published on 16 Apr 2026 - 14:02

score 54 · Answer 14 · 2026-04-12 01:42:16

54

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Easy way of finding out whether or not a sub-triangle exists

Published on 12 Apr 2026 - 1:42

score 292 · Answer 15 · 2026-04-10 13:22:51

292

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A problem about the Borel-Cantelli lemma in Feller's Introduction to Probability

Published on 10 Apr 2026 - 13:22

List Question

Proving $\cot 20^\circ - \cot 40^\circ + \cot 80^\circ = \sqrt{3}$

Problem books on algebraic number theory

About the distribution of $\{k(\sqrt{2}-1)\mid k\in \mathbb{N}\}$

Derangement Question: last person has correct seat

Hotel room number problem

Convergence of $\int_0^1 \frac{\ln x}{\sqrt x (1+x^2)}dx$

Examine the convergence of the following improper integrals.

Why can integers a,b be found for $0 < a+b \sqrt{2} \leq \frac{1+\sqrt{2}}{m+2}$ for all positive integers m when a,b are less than m?

Strategy to prove $\int_0^1(f'(x)^2dx \geq3 (\int_0^1 f(x)dx)^2 $ if $f(1)=0$

Convergence test of the improper integral $\int_0^{\pi/2} \frac{1}{\cos\alpha-\cos x}dx$

How to solve Maths Problem without algebra way. Primary School Question

techniques of proving a system of non-linear equations has no solution in a given domain

If $f(x) + xf(-x) = x^2$ + 1, find what is $f(x)$?

Easy way of finding out whether or not a sub-triangle exists

A problem about the Borel-Cantelli lemma in Feller's Introduction to Probability

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