Question

Interesting patterns in $f(k,n)=k\pi-\sum\limits_{x=1}^n\tan^{-1}\left(\frac1{\sqrt[k]x}\right)$

score 534 · Answer 1 · 2026-04-16 02:43:32

534

Views

Interesting patterns in $f(k,n)=k\pi-\sum\limits_{x=1}^n\tan^{-1}\left(\frac1{\sqrt[k]x}\right)$

Published on 16 Apr 2026 - 2:43

score 99 · Answer 2 · 2026-04-15 22:49:05

99

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What is the principal argument of $\frac{4-z_0-\bar z_0}{z_0-\bar z_0+2i} $under the given conditions?

Published on 15 Apr 2026 - 22:49

score 1.2k · Answer 3 · 2026-04-15 21:17:51

1.2k

Views

What are the number of solutions of $|\sqrt{2\sin^4 x+18\cos^2 x}-\sqrt{2\cos^4 x+18\sin^2 x}|=1?$

Published on 15 Apr 2026 - 21:17

score 61 · Answer 4 · 2026-04-14 13:25:21

61

Views

If $A$, $B$, and & $C$ are angles of a triangle. Find angle $C$. System of equations involving trigonometric functions.

Published on 14 Apr 2026 - 13:25

score 581 · Answer 5 · 2026-04-21 16:37:13

581

Views

Plane Circling an airport.

Published on 21 Apr 2026 - 16:37

score 78 · Answer 6 · 2026-04-15 11:48:00

78

Views

Trigonometry problem - prove that $\cos(\beta)=1-1/(8\cos^2(\alpha))$

Published on 15 Apr 2026 - 11:48

score 1.7k · Answer 7 · 2026-04-14 14:42:51

1.7k

Views

Can't understand an ACT practice problem: Triangle appears to be isosceles, why isn't the answer $7.3\sim $ here?

Published on 14 Apr 2026 - 14:42

score 910 · Answer 8 · 2026-04-15 22:20:35

910

Views

Solving $\tan^{-1}x > \cot^{-1}x$

Published on 15 Apr 2026 - 22:20

score 42 · Answer 9 · 2026-04-15 12:06:41

42

Views

Find a point on a given segment such that the distance from the 2 perpendicular segments on its sides to that point are equal.

Published on 15 Apr 2026 - 12:06

score 521 · Answer 10 · 2026-04-17 03:46:35

521

Views

Prove that $\sin 3x = 3 \sin x - 4\sin^2 x$

Published on 17 Apr 2026 - 3:46

score 38 · Answer 11 · 2026-04-14 07:17:53

38

Views

How can I simplify $\sum_{i=1}^{n} \sin(x - y_i)$ to the form $Asin(x-y_0)$?

Published on 14 Apr 2026 - 7:17

score 127 · Answer 12 · 2026-04-12 18:56:10

127

Views

Find the point located on an offset ellipse

Published on 12 Apr 2026 - 18:56

score 77 · Answer 13 · 2026-03-25 05:09:42

77

Views

Inverse of a structured matrix of sines.

Published on 25 Mar 2026 - 5:09

score 199 · Answer 14 · 2026-04-15 17:51:49

199

Views

Solve the following equation: $\sin x \cos x = \frac{1}{2}$

Published on 15 Apr 2026 - 17:51

score 156 · Answer 15 · 2026-04-16 00:23:45

156

Views

Solving $x^3 - 3x - \sqrt{2} = 0$ using $x=k\cos\theta$ and $\cos 3\theta = 4 \cos^3 \theta - 3 \cos \theta$

Published on 16 Apr 2026 - 0:23

List Question

Interesting patterns in $f(k,n)=k\pi-\sum\limits_{x=1}^n\tan^{-1}\left(\frac1{\sqrt[k]x}\right)$

What is the principal argument of $\frac{4-z_0-\bar z_0}{z_0-\bar z_0+2i} $under the given conditions?

What are the number of solutions of $|\sqrt{2\sin^4 x+18\cos^2 x}-\sqrt{2\cos^4 x+18\sin^2 x}|=1?$

If $A$, $B$, and & $C$ are angles of a triangle. Find angle $C$. System of equations involving trigonometric functions.

Plane Circling an airport.

Trigonometry problem - prove that $\cos(\beta)=1-1/(8\cos^2(\alpha))$

Can't understand an ACT practice problem: Triangle appears to be isosceles, why isn't the answer $7.3\sim $ here?

Solving $\tan^{-1}x > \cot^{-1}x$

Find a point on a given segment such that the distance from the 2 perpendicular segments on its sides to that point are equal.

Prove that $\sin 3x = 3 \sin x - 4\sin^2 x$

How can I simplify $\sum_{i=1}^{n} \sin(x - y_i)$ to the form $Asin(x-y_0)$?

Find the point located on an offset ellipse

Inverse of a structured matrix of sines.

Solve the following equation: $\sin x \cos x = \frac{1}{2}$

Solving $x^3 - 3x - \sqrt{2} = 0$ using $x=k\cos\theta$ and $\cos 3\theta = 4 \cos^3 \theta - 3 \cos \theta$

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