Question

How to calculate the integral $\int_{0.5}^{1} \frac{1}{\sqrt{2x-x^2}}$?

score 342 · Answer 1 · 2018-06-23 22:34:24

342

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How to calculate the integral $\int_{0.5}^{1} \frac{1}{\sqrt{2x-x^2}}$?

Published on 23 Jun 2018 - 22:34

score 72 · Answer 2 · 2026-03-25 09:33:27

72

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Tricky path integral with arccos

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score 76 · Answer 3 · 2018-06-24 01:12:14

76

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Synthetic division: a jet flies 400 mph

Published on 24 Jun 2018 - 1:12

score 1k · Answer 4 · 2026-03-29 03:36:37

1k

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Proving $\sum_{k=0}^{n-1} \text{cos}\left(\frac{2\pi k}{n} \right) = \sum_{k=0}^{n-1} \text{sin}\left(\frac{2\pi k}{n} \right) = 0$

Published on 29 Mar 2026 - 3:36

score 281 · Answer 5 · 2026-03-25 14:23:34

281

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Explain the graph of $\lfloor \arctan x\rfloor$

Published on 25 Mar 2026 - 14:23

score 938 · Answer 6 · 2018-06-24 07:19:35

938

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How many solutions of $x$ are available of the equation $3\tan x+x^3 =2 $ in range of $[0,\pi/4]$?

Published on 24 Jun 2018 - 7:19

score 78 · Answer 7 · 2018-06-24 08:50:56

78

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Choose $y\in\mathbb{R}$ so that $\sin y=\frac{u}{\sqrt{u^2+v^2}}$ and $\cos y=\frac{v}{\sqrt{u^2+v^2}}$.

Published on 24 Jun 2018 - 8:50

score 33 · Answer 8 · 2018-06-24 12:41:15

33

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Why do we multiply $k$ by $\frac{\theta}{\Theta}$ when converting intervals?

Published on 24 Jun 2018 - 12:41

score 1.6k · Answer 9 · 2018-06-24 13:19:29

1.6k

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Is it legal to put $\tan$ on both sides of the equation?

Published on 24 Jun 2018 - 13:19

score 64 · Answer 10 · 2018-06-24 17:53:17

64

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Trigonometry - 3-D problems

Published on 24 Jun 2018 - 17:53

score 556 · Answer 11 · 2026-03-30 13:17:07

556

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Plotting $\cos(x) >\cos (y) $

Published on 30 Mar 2026 - 13:17

score 75 · Answer 12 · 2018-06-25 02:06:54

In $\Delta ABC$, let side $a = 8\sqrt2$, side $b = 8$ and $\measuredangle B = \frac{\pi }{6}$ radians. Find $\measuredangle A$

score 57 · Answer 13 · 2018-06-25 03:54:18

57

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Understanding trig equality

Published on 25 Jun 2018 - 3:54

score 91 · Answer 14 · 2018-06-25 04:59:29

In trigonometry, how can we find the sine/cosine of an angle larger than 90 degrees, if sine and cosine only work for right triangles?

score 597 · Answer 15 · 2018-06-25 05:59:57

597

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On Negative Lengths And Positive Hypotenuses In Trigonometry

Published on 25 Jun 2018 - 5:59

List Question

How to calculate the integral $\int_{0.5}^{1} \frac{1}{\sqrt{2x-x^2}}$?

Tricky path integral with arccos

Synthetic division: a jet flies 400 mph

Proving $\sum_{k=0}^{n-1} \text{cos}\left(\frac{2\pi k}{n} \right) = \sum_{k=0}^{n-1} \text{sin}\left(\frac{2\pi k}{n} \right) = 0$

Explain the graph of $\lfloor \arctan x\rfloor$

How many solutions of $x$ are available of the equation $3\tan x+x^3 =2 $ in range of $[0,\pi/4]$?

Choose $y\in\mathbb{R}$ so that $\sin y=\frac{u}{\sqrt{u^2+v^2}}$ and $\cos y=\frac{v}{\sqrt{u^2+v^2}}$.

Why do we multiply $k$ by $\frac{\theta}{\Theta}$ when converting intervals?

Is it legal to put $\tan$ on both sides of the equation?

Trigonometry - 3-D problems

Plotting $\cos(x) >\cos (y) $

In $\Delta ABC$, let side $a = 8\sqrt2$, side $b = 8$ and $\measuredangle B = \frac{\pi }{6}$ radians. Find $\measuredangle A$

Understanding trig equality

In trigonometry, how can we find the sine/cosine of an angle larger than 90 degrees, if sine and cosine only work for right triangles?

On Negative Lengths And Positive Hypotenuses In Trigonometry

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