Question

Can the area between an arc of the curve $y = \sin kx$ and $x-$axis ever be $2/k$, where $k$ is any positive constant?

score 136 · Answer 1 · 2026-04-15 02:26:25

136

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Can the area between an arc of the curve $y = \sin kx$ and $x-$axis ever be $2/k$, where $k$ is any positive constant?

Published on 15 Apr 2026 - 2:26

score 58 · Answer 2 · 2026-04-14 23:14:37

58

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$\sin(4\theta) = \sin(2\theta+\pi/2)$ solve for $\theta$ when $\theta \in [0,\pi/4]$

Published on 14 Apr 2026 - 23:14

score 62 · Answer 3 · 2026-04-16 05:50:30

62

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$\frac{\cos\theta }{1-\sin\theta }\cdot \frac{1+\sin\theta }{1+\sin\theta }$

Published on 16 Apr 2026 - 5:50

score 184 · Answer 4 · 2026-04-15 21:01:20

184

Views

Evaluating $\int_0^{\infty} \frac{\sin t}{t^{\alpha}} \mathrm{d}t$

Published on 15 Apr 2026 - 21:01

score 209 · Answer 5 · 2026-04-17 02:36:57

209

Views

Opposite real number identities(why $\cos(-x)=\cos x$)

Published on 17 Apr 2026 - 2:36

score 79 · Answer 6 · 2026-04-12 19:18:33

79

Views

Trigonometry AS

Published on 12 Apr 2026 - 19:18

score 804 · Answer 7 · 2026-04-13 17:36:01

804

Views

Fourier series of regular polygons

Published on 13 Apr 2026 - 17:36

score 872 · Answer 8 · 2026-04-16 04:38:07

872

Views

The number of real roots of the equation $e^x+e^{-x}=2\sin(x^3)$

Published on 16 Apr 2026 - 4:38

score 501 · Answer 9 · 2026-04-10 21:53:55

501

Views

Formula to move arc path around circle

Published on 10 Apr 2026 - 21:53

score 85 · Answer 10 · 2026-04-16 00:50:33

85

Views

Proving that $ \tan 2x \cdot (1 + \tan x) \cdot \cot x = \frac{2}{1 - \tan(x)} $

Published on 16 Apr 2026 - 0:50

score 82 · Answer 11 · 2026-04-18 08:14:13

82

Views

What's wrong with my calculations?

Published on 18 Apr 2026 - 8:14

score 124 · Answer 12 · 2026-04-14 06:39:46

124

Views

Find the value of $\lambda$ in $\frac{3-\tan^2 {\pi\over 7}}{1-\tan^2 {\pi\over 7}}=\lambda\cos{\pi\over 7}$

Published on 14 Apr 2026 - 6:39

score 122 · Answer 13 · 2026-04-15 17:25:27

122

Views

Pure geometry proof related to $(2+i)^2$

Published on 15 Apr 2026 - 17:25

score 398 · Answer 14 · 2026-03-26 06:10:45

398

Views

Step to prove that $\cos (n \arccos (x))$ is a polynomial of $n$-th degree

Published on 26 Mar 2026 - 6:10

score 295 · Answer 15 · 2026-04-12 00:09:56

295

Views

Solutions of sin(x) = cos(x)

Published on 12 Apr 2026 - 0:09

List Question

Can the area between an arc of the curve $y = \sin kx$ and $x-$axis ever be $2/k$, where $k$ is any positive constant?

$\sin(4\theta) = \sin(2\theta+\pi/2)$ solve for $\theta$ when $\theta \in [0,\pi/4]$

$\frac{\cos\theta }{1-\sin\theta }\cdot \frac{1+\sin\theta }{1+\sin\theta }$

Evaluating $\int_0^{\infty} \frac{\sin t}{t^{\alpha}} \mathrm{d}t$

Opposite real number identities(why $\cos(-x)=\cos x$)

Trigonometry AS

Fourier series of regular polygons

The number of real roots of the equation $e^x+e^{-x}=2\sin(x^3)$

Formula to move arc path around circle

Proving that $ \tan 2x \cdot (1 + \tan x) \cdot \cot x = \frac{2}{1 - \tan(x)} $

What's wrong with my calculations?

Find the value of $\lambda$ in $\frac{3-\tan^2 {\pi\over 7}}{1-\tan^2 {\pi\over 7}}=\lambda\cos{\pi\over 7}$

Pure geometry proof related to $(2+i)^2$

Step to prove that $\cos (n \arccos (x))$ is a polynomial of $n$-th degree

Solutions of sin(x) = cos(x)

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