List questions from trigonometric-series

Published on 23 Jan 2020 - 1:37

61

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Convergence of $g_k(x) = \Big{(} \frac{(-1)^k}{\sqrt{k}} \Big{)} \cos(kx)$

Published on 23 Jan 2020 - 6:51

512

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Product of multiple sines

Published on 28 Jan 2020 - 21:56

56

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Odd power of cos

Published on 26 Mar 2026 - 0:02

246

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Finding the infinite sum of a Fourier Series at a given $x$

Published on 16 Feb 2020 - 18:34

705

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Proving that $\prod_{k=1}^{n}\tan\left(\frac{\pi k}{2n+1}\right)=\sqrt{2n+1}$ using geometry

Published on 22 Feb 2020 - 12:38

49

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Is there a way to get the equation for two or more waves that have been added together

Published on 25 Feb 2020 - 9:18

58

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How $\sum_1^6\sin x \equiv2\sin\frac{7}{2}(\cos\frac{5}{2}+\cos\frac{3}{2}+\cos\frac{1}{2})$?

Published on 25 Feb 2020 - 15:36

87

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Asymptotic behavior of a trigonometric series

Published on 27 Feb 2020 - 11:50

120

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Trigonometry in nth partial sums

Published on 29 Feb 2020 - 0:38

838

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Weighted sum of cosines with different phase offsets

Published on 07 Mar 2020 - 17:38

31

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Summing cotangent pairs

Published on 11 Mar 2020 - 6:12

1.1k

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Prove that $\frac12 + \cos (a) + \cos (2a) + ... + \cos (na) = \frac{\sin ((n+1/2)a)}{ 2sin(a/2)}$

Published on 27 Mar 2020 - 10:32

55

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A trigonometric series proof

Published on 29 Mar 2020 - 14:15

179

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Possible telescopic sum

Published on 25 Mar 2026 - 12:47

List Question

How to calculate this infinite summation including cos()? Does Parseval Identity work for it?

Convergence of $g_k(x) = \Big{(} \frac{(-1)^k}{\sqrt{k}} \Big{)} \cos(kx)$

Product of multiple sines

Odd power of cos

Finding the infinite sum of a Fourier Series at a given $x$

Proving that $\prod_{k=1}^{n}\tan\left(\frac{\pi k}{2n+1}\right)=\sqrt{2n+1}$ using geometry

Is there a way to get the equation for two or more waves that have been added together

How $\sum_1^6\sin x \equiv2\sin\frac{7}{2}(\cos\frac{5}{2}+\cos\frac{3}{2}+\cos\frac{1}{2})$?

Asymptotic behavior of a trigonometric series

Trigonometry in nth partial sums

Weighted sum of cosines with different phase offsets

Summing cotangent pairs

Prove that $\frac12 + \cos (a) + \cos (2a) + ... + \cos (na) = \frac{\sin ((n+1/2)a)}{ 2sin(a/2)}$

A trigonometric series proof

Possible telescopic sum

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