Question

How to prove that $ \prod_{k=1}^{m} (\cos(\frac{(2k-1)\pi}{2m+1} )+1) = \frac{2m+1}{2^{m}} $

score 265 · Answer 1 · 2026-04-16 15:43:07

265

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How to prove that $ \prod_{k=1}^{m} (\cos(\frac{(2k-1)\pi}{2m+1} )+1) = \frac{2m+1}{2^{m}} $

Published on 16 Apr 2026 - 15:43

score 100 · Answer 2 · 2026-04-21 16:46:49

100

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What is a parametric solution of $x^3+y^3+z^3-3xyz=1$?

Published on 21 Apr 2026 - 16:46

score 202 · Answer 3 · 2026-04-14 17:59:38

202

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If $ a + b + c = 90^{\circ}$, prove $ \tan(a) \cdot \tan(b) + \tan(b) \cdot \tan(c) + \tan(c) \cdot \tan(a) = 1 $

Published on 14 Apr 2026 - 17:59

score 98 · Answer 4 · 2026-04-13 21:13:28

98

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Solving $\sin[\cot^{-1}(x + 1)]=\cos[\tan^{-1}x]$ in two ways gives contradictory results

Published on 13 Apr 2026 - 21:13

score 173 · Answer 5 · 2026-04-16 09:28:48

173

Views

Differentiate $\sqrt{\frac{1 +\sin x}{1 -\sin x}}$

Published on 16 Apr 2026 - 9:28

score 85 · Answer 6 · 2026-04-16 18:53:10

85

Views

Evaluate and simplify: $\lim_{x\to 0}\frac{\sin 2x}{3x}$

Published on 16 Apr 2026 - 18:53

score 232 · Answer 7 · 2026-04-16 00:36:13

232

Views

Calculate $\int_0^{\pi} \frac{ \cos ( kx ) }{ 1 - 2 \tau \cos (x ) } dx$

Published on 16 Apr 2026 - 0:36

score 497 · Answer 8 · 2026-04-12 01:48:06

497

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Undetermined Coefficients Complex Method

Published on 12 Apr 2026 - 1:48

score 70 · Answer 9 · 2026-04-12 20:53:34

70

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If $\cos2v = - \frac{1}{9}$ and $v$ is acute, then determine the value of $v$

Published on 12 Apr 2026 - 20:53

score 203 · Answer 10 · 2026-04-16 13:40:39

203

Views

Show that $a \cos \theta + b \sin \theta = \sqrt{a^2+b^2} \cos (\theta - \varphi)$

Published on 16 Apr 2026 - 13:40

score 196 · Answer 11 · 2026-04-15 09:12:16

196

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Calculating $\pi$ using $\pi=\lim_{n\to\infty}n\sin\frac{180^\circ}{n}$

Published on 15 Apr 2026 - 9:12

score 39 · Answer 12 · 2026-04-11 20:40:30

39

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Is this method in solving trigonometric equation viable?

Published on 11 Apr 2026 - 20:40

score 210 · Answer 13 · 2026-04-11 14:34:55

210

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Without a calculator, find $\cos\frac{\pi}{3}$

Published on 11 Apr 2026 - 14:34

score 74 · Answer 14 · 2026-04-12 16:04:08

74

Views

Explain trigonometry concepts to a kid

Published on 12 Apr 2026 - 16:04

score 106 · Answer 15 · 2026-04-10 17:47:00

106

Views

Evaluating $ \lim_{a \to 0} \frac{\tan(x+a)-\tan x}{a} $

Published on 10 Apr 2026 - 17:47

List Question

How to prove that $ \prod_{k=1}^{m} (\cos(\frac{(2k-1)\pi}{2m+1} )+1) = \frac{2m+1}{2^{m}} $

What is a parametric solution of $x^3+y^3+z^3-3xyz=1$?

If $ a + b + c = 90^{\circ}$, prove $ \tan(a) \cdot \tan(b) + \tan(b) \cdot \tan(c) + \tan(c) \cdot \tan(a) = 1 $

Solving $\sin[\cot^{-1}(x + 1)]=\cos[\tan^{-1}x]$ in two ways gives contradictory results

Differentiate $\sqrt{\frac{1 +\sin x}{1 -\sin x}}$

Evaluate and simplify: $\lim_{x\to 0}\frac{\sin 2x}{3x}$

Calculate $\int_0^{\pi} \frac{ \cos ( kx ) }{ 1 - 2 \tau \cos (x ) } dx$

Undetermined Coefficients Complex Method

If $\cos2v = - \frac{1}{9}$ and $v$ is acute, then determine the value of $v$

Show that $a \cos \theta + b \sin \theta = \sqrt{a^2+b^2} \cos (\theta - \varphi)$

Calculating $\pi$ using $\pi=\lim_{n\to\infty}n\sin\frac{180^\circ}{n}$

Is this method in solving trigonometric equation viable?

Without a calculator, find $\cos\frac{\pi}{3}$

Explain trigonometry concepts to a kid

Evaluating $ \lim_{a \to 0} \frac{\tan(x+a)-\tan x}{a} $

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