Question

Evaluate $\lim_{x \to \infty}\left(\frac{2}{\pi}(x+1)\cos^{-1}\left(\frac{1}{x}\right)-x\right)$

score 87 · Answer 1 · 2018-03-16 05:38:57

87

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Evaluate $\lim_{x \to \infty}\left(\frac{2}{\pi}(x+1)\cos^{-1}\left(\frac{1}{x}\right)-x\right)$

Published on 16 Mar 2018 - 5:38

score 1k · Answer 2 · 2018-03-16 08:41:33

1k

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Why did this extraneous root creep into the solution?

Published on 16 Mar 2018 - 8:41

score 213 · Answer 3 · 2026-03-25 16:03:23

213

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prove that maximum value of $\cos\alpha \cos\beta$ occurs when $\alpha=\beta=\frac{\sigma}{2}$

Published on 25 Mar 2026 - 16:03

score 36 · Answer 4 · 2018-03-16 10:40:15

36

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Indexed Family of Sets Union and Intersection checking my answer

Published on 16 Mar 2018 - 10:40

score 651 · Answer 5 · 2026-03-25 03:04:02

651

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Product of sines general formula: $ \sin{x}\sin{2x}\sin{3x}...\sin{nx}$

Published on 25 Mar 2026 - 3:04

score 66 · Answer 6 · 2026-03-29 20:50:11

66

Views

Random Watches on a table - Can this be solved using Fourier Analysis?

Published on 29 Mar 2026 - 20:50

score 9.1k · Answer 7 · 2018-03-17 03:58:30

9.1k

Views

Are there any "nonstandard" special angles for which trig functions yield radical expressions?

Published on 17 Mar 2018 - 3:58

score 104 · Answer 8 · 2026-03-25 02:59:37

104

Views

Finding circles with hyperbolic functions and hyperbolas with trig functions

Published on 25 Mar 2026 - 2:59

score 944 · Answer 9 · 2018-03-17 21:50:42

944

Views

Property of the $2$-$3$-$4$ triangle and its extensions

Published on 17 Mar 2018 - 21:50

score 52 · Answer 10 · 2018-03-18 08:44:11

52

Views

Which value of $\pi$ shall I plug in this formula $\sqrt{x} + 3 \tan x$ if $x \in [0, \frac{\pi}{4}]$?

Published on 18 Mar 2018 - 8:44

score 8.3k · Answer 11 · 2018-03-18 13:21:37

8.3k

Views

Can I find the length of an right angle triangle, from one side and two angles?

Published on 18 Mar 2018 - 13:21

score 86 · Answer 12 · 2026-03-26 06:05:24

86

Views

Does $ \sin^2 x + \cos^2 x = 1 $ still apply on a general manifold?

Published on 26 Mar 2026 - 6:05

score 33 · Answer 13 · 2018-03-18 18:55:43

33

Views

Computing distance using trignometry

Published on 18 Mar 2018 - 18:55

score 35 · Answer 14 · 2018-03-19 02:46:30

35

Views

Determine all $z$ so it satisfies given equation

Published on 19 Mar 2018 - 2:46

score 421 · Answer 15 · 2018-03-19 14:33:19

421

Views

Finding the the derivative of $y=\sqrt{1-\sin x}; 0<x<\pi/2$.

Published on 19 Mar 2018 - 14:33

List Question

Evaluate $\lim_{x \to \infty}\left(\frac{2}{\pi}(x+1)\cos^{-1}\left(\frac{1}{x}\right)-x\right)$

Why did this extraneous root creep into the solution?

prove that maximum value of $\cos\alpha \cos\beta$ occurs when $\alpha=\beta=\frac{\sigma}{2}$

Indexed Family of Sets Union and Intersection checking my answer

Product of sines general formula: $ \sin{x}\sin{2x}\sin{3x}...\sin{nx}$

Random Watches on a table - Can this be solved using Fourier Analysis?

Are there any "nonstandard" special angles for which trig functions yield radical expressions?

Finding circles with hyperbolic functions and hyperbolas with trig functions

Property of the $2$-$3$-$4$ triangle and its extensions

Which value of $\pi$ shall I plug in this formula $\sqrt{x} + 3 \tan x$ if $x \in [0, \frac{\pi}{4}]$?

Can I find the length of an right angle triangle, from one side and two angles?

Does $ \sin^2 x + \cos^2 x = 1 $ still apply on a general manifold?

Computing distance using trignometry

Determine all $z$ so it satisfies given equation

Finding the the derivative of $y=\sqrt{1-\sin x}; 0<x<\pi/2$.

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