Question

Solve the equations $\tan^2{3θ} = \cot^2{\alpha}$

score 312 · Answer 1 · 2026-04-14 19:27:09

312

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Solve the equations $\tan^2{3θ} = \cot^2{\alpha}$

Published on 14 Apr 2026 - 19:27

score 30 · Answer 2 · 2026-04-11 18:12:36

30

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Segment length by using trigonometry: absolute value of trigonometric function?

Published on 11 Apr 2026 - 18:12

score 131 · Answer 3 · 2026-04-16 11:39:12

131

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Evaluate $\lim_{n\to\infty}n(n\pi+\pi/2-x_n)$

Published on 16 Apr 2026 - 11:39

score 367 · Answer 4 · 2026-04-16 19:48:25

367

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Minimum of a trigonometric function involving absolute value

Published on 16 Apr 2026 - 19:48

score 33 · Answer 5 · 2026-04-16 21:18:22

33

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Solving for $x$ in the system $A =G \cos x -F \sin(y-x)$, $B = -F\cos(y-x)-G\sin x$

Published on 16 Apr 2026 - 21:18

score 66 · Answer 6 · 2026-04-16 11:59:01

66

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Prove that $BD.DC=\frac{AB.AC^2}{2(AB+AC)}$

Published on 16 Apr 2026 - 11:59

score 96 · Answer 7 · 2026-03-25 07:46:08

Is it possible to compute this using Euler? $\frac{(\cos 1 + \cos 89)(\cos 2+\cos 88)\cdots(\cos 44 + \cos 46)}{\cos 1\cos 2\cdots\cos 44}$

score 173 · Answer 8 · 2026-04-17 11:59:34

173

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Proving $\int_0^{\pi/4}\sin^n(x)\,dx>\frac{1}{2^{n/2}(n+2)}$

Published on 17 Apr 2026 - 11:59

score 60 · Answer 9 · 2026-04-15 06:49:38

60

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Determine $\sin a$, $\cos a$, given $\tan a = 2 - \sqrt 3$

Published on 15 Apr 2026 - 6:49

score 74 · Answer 10 · 2026-04-15 13:41:25

74

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Finding $\arccos(\sin x) $

Published on 15 Apr 2026 - 13:41

score 93 · Answer 11 · 2026-04-14 17:12:19

93

Views

Simplifying $\sum_{cyc}\tan^{-1}\left(\sqrt{\frac{x(x+y+z)}{yz}}\right)$. I get $0$, but the answer is $\pi$.

Published on 14 Apr 2026 - 17:12

score 86 · Answer 12 · 2026-04-13 21:10:20

86

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solve for y in terms of x where $y= (sin(2x))^2 + (cos(x+y))^2$

Published on 13 Apr 2026 - 21:10

score 163 · Answer 13 · 2026-04-16 00:42:08

163

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Prove that the function $f:[0, \frac{\pi}{2}]\to R, f(x)=x-\cos x$ is bijective

Published on 16 Apr 2026 - 0:42

score 54 · Answer 14 · 2026-04-16 14:13:47

Solvable? $f(x)=\tan(\frac{a\pi x}{b})+c$ has consecutive asymptotes at $x=-1.5$ and $x=-0.7$, and passes through $(-3,3.5)$. Find $a$, $b$, $c$.

score 63 · Answer 15 · 2026-04-16 18:00:35

Angle $\alpha$ is divided into parts such that the ratio of tangents is $k$ and the difference of parts is $x$. Show $\sin x=(k-1)/(k+1)\sin\alpha$.

List Question

Solve the equations $\tan^2{3θ} = \cot^2{\alpha}$

Segment length by using trigonometry: absolute value of trigonometric function?

Evaluate $\lim_{n\to\infty}n(n\pi+\pi/2-x_n)$

Minimum of a trigonometric function involving absolute value

Solving for $x$ in the system $A =G \cos x -F \sin(y-x)$, $B = -F\cos(y-x)-G\sin x$

Prove that $BD.DC=\frac{AB.AC^2}{2(AB+AC)}$

Is it possible to compute this using Euler? $\frac{(\cos 1 + \cos 89)(\cos 2+\cos 88)\cdots(\cos 44 + \cos 46)}{\cos 1\cos 2\cdots\cos 44}$

Proving $\int_0^{\pi/4}\sin^n(x)\,dx>\frac{1}{2^{n/2}(n+2)}$

Determine $\sin a$, $\cos a$, given $\tan a = 2 - \sqrt 3$

Finding $\arccos(\sin x) $

Simplifying $\sum_{cyc}\tan^{-1}\left(\sqrt{\frac{x(x+y+z)}{yz}}\right)$. I get $0$, but the answer is $\pi$.

solve for y in terms of x where $y= (sin(2x))^2 + (cos(x+y))^2$

Prove that the function $f:[0, \frac{\pi}{2}]\to R, f(x)=x-\cos x$ is bijective

Solvable? $f(x)=\tan(\frac{a\pi x}{b})+c$ has consecutive asymptotes at $x=-1.5$ and $x=-0.7$, and passes through $(-3,3.5)$. Find $a$, $b$, $c$.

Angle $\alpha$ is divided into parts such that the ratio of tangents is $k$ and the difference of parts is $x$. Show $\sin x=(k-1)/(k+1)\sin\alpha$.

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