Question

Conjecture: There is no $n\neq3$ such that $\arctan(1)+\arctan(2)+\cdots+\arctan(n)=\frac{k\pi}{2}$, with $k$ integer.

score 160 · Answer 1 · 2026-04-16 11:14:51

160

Views

Conjecture: There is no $n\neq3$ such that $\arctan(1)+\arctan(2)+\cdots+\arctan(n)=\frac{k\pi}{2}$, with $k$ integer.

Published on 16 Apr 2026 - 11:14

score 142 · Answer 2 · 2026-04-13 06:54:13

142

Views

Simple but confusing trigonometry to find angle (PID control for autonomous car)

Published on 13 Apr 2026 - 6:54

score 97 · Answer 3 · 2026-04-10 06:37:37

97

Views

Integration using Trig Substitution

Published on 10 Apr 2026 - 6:37

score 5k · Answer 4 · 2026-04-13 15:34:31

5k

Views

How to find the amplitude of a complex number $z=-1-\sqrt{3}i$

Published on 13 Apr 2026 - 15:34

score 97 · Answer 5 · 2026-04-16 23:01:46

97

Views

Given $\lim_{x \to 0} \frac{\sin(x)}{x} = 1$, Prove $ \lim_{x \to 0} \frac{\sin(x)}{\sin(mx)} = \frac{1}{m} $ for $ m >0$

Published on 16 Apr 2026 - 23:01

score 51 · Answer 6 · 2026-04-16 06:28:12

51

Views

Create a point from a startingPoint, a position and a direction

Published on 16 Apr 2026 - 6:28

score 231 · Answer 7 · 2026-04-16 07:34:25

231

Views

Find the amplitude of complex number $z= 2\sqrt{2}\,i - 2\sqrt{3}$

Published on 16 Apr 2026 - 7:34

score 321 · Answer 8 · 2026-04-14 14:53:22

321

Views

What is the point solving hard integrals, trigonometric proofs and determinant proofs

Published on 14 Apr 2026 - 14:53

score 39 · Answer 9 · 2026-04-11 23:31:53

39

Views

Given the pace and the angle of an object, how to calculate it's coordinates after 1 movement?

Published on 11 Apr 2026 - 23:31

score 247 · Answer 10 · 2026-04-13 13:04:40

247

Views

Proof that $\sum\limits_{n=1}^{\infty}{(-1)^{n+1}\sin(n)\over{n}}={1\over2}$

Published on 13 Apr 2026 - 13:04

score 273 · Answer 11 · 2026-05-11 06:43:53

273

Views

Sequences where $\sum\limits_{n=k}^{\infty}{a_n}=\sum\limits_{n=k}^{\infty}{a_n^2}$

Published on 11 May 2026 - 6:43

score 1.6k · Answer 12 · 2026-04-15 23:13:48

1.6k

Views

Solving $\sin 3\theta=1/2$ on the interval $[0,2\pi]$. I don't understand where some solutions came from.

Published on 15 Apr 2026 - 23:13

score 121 · Answer 13 · 2026-04-13 18:19:43

121

Views

Calculating dynamic length for an analog clock hand in relation to the bounding box

Published on 13 Apr 2026 - 18:19

score 197 · Answer 14 · 2026-04-16 05:48:46

197

Views

What did I get wrong when solving $\int\frac{\sqrt{x^2-1}}{x^4}dx$?

Published on 16 Apr 2026 - 5:48

score 55 · Answer 15 · 2026-04-16 14:11:34

55

Views

One of the $\sin{x}$, $\cos{x}$ or $\tan{x}$ is given. If $x$ is in the specified range, find the other two.

Published on 16 Apr 2026 - 14:11

List Question

Conjecture: There is no $n\neq3$ such that $\arctan(1)+\arctan(2)+\cdots+\arctan(n)=\frac{k\pi}{2}$, with $k$ integer.

Simple but confusing trigonometry to find angle (PID control for autonomous car)

Integration using Trig Substitution

How to find the amplitude of a complex number $z=-1-\sqrt{3}i$

Given $\lim_{x \to 0} \frac{\sin(x)}{x} = 1$, Prove $ \lim_{x \to 0} \frac{\sin(x)}{\sin(mx)} = \frac{1}{m} $ for $ m >0$

Create a point from a startingPoint, a position and a direction

Find the amplitude of complex number $z= 2\sqrt{2}\,i - 2\sqrt{3}$

What is the point solving hard integrals, trigonometric proofs and determinant proofs

Given the pace and the angle of an object, how to calculate it's coordinates after 1 movement?

Proof that $\sum\limits_{n=1}^{\infty}{(-1)^{n+1}\sin(n)\over{n}}={1\over2}$

Sequences where $\sum\limits_{n=k}^{\infty}{a_n}=\sum\limits_{n=k}^{\infty}{a_n^2}$

Solving $\sin 3\theta=1/2$ on the interval $[0,2\pi]$. I don't understand where some solutions came from.

Calculating dynamic length for an analog clock hand in relation to the bounding box

What did I get wrong when solving $\int\frac{\sqrt{x^2-1}}{x^4}dx$?

One of the $\sin{x}$, $\cos{x}$ or $\tan{x}$ is given. If $x$ is in the specified range, find the other two.

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