List questions from trigonometric-series

Published on 15 Nov 2023 - 18:39

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Representation of Weierstraß $\wp$ function for $\Lambda=\Bbb Z+\Bbb Z i$ as series over trigonometric function

Published on 26 Mar 2026 - 14:19

105

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$\lim_{p\to\infty}\sum_{n≥1}\arctan\left(\frac{1}{n^p}\right)=\frac{\pi}{4}$

Published on 21 Nov 2023 - 13:44

179

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Summation inside tan(x)

Published on 27 Nov 2023 - 19:45

93

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About $f(x) = \frac{\sum_{n=1}^{\infty} \sin^2(x/n)}{x}$

Published on 28 Nov 2023 - 23:07

43

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Use complex numbers to simplify this trigonometric expression

Published on 04 Dec 2023 - 17:29

88

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Some interesting trigonometric sums

Published on 19 Dec 2023 - 13:00

167

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Show $8 \sin \frac{4 \pi}{9} \sin \frac{2 \pi}{9} \sin \frac{\pi}{9} = \sqrt{3}$.

Published on 30 Dec 2023 - 6:13

157

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Can we find the exact value of a double sum with cosine without differentiation?

Published on 31 Dec 2023 - 1:51

42

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Fejer-Riesz Theorem for analytic polynomials

Published on 02 Jan 2024 - 4:45

57

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Deduce that $\sum_{n=1}^\infty\frac{1}{1+n^2}=\frac{1}{2}(\pi\coth\pi-1)\quad$

Published on 24 Jan 2024 - 22:44

97

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Does $ \sum_{n=-\infty}^{\infty}{{1}\over{x-\pi n}} $ converge to cotangent?

Published on 25 Jan 2024 - 18:07

41

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General approaches to solve trigonometric polynomial equations

Published on 02 Feb 2024 - 8:38

84

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Question about arcsec, trig sub and absolute value of $|x|$.

Published on 03 Feb 2024 - 0:48

125

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Calculate $\sum\limits_{k=1}^{\infty} \frac{\sin 2k}{3^k}$

Published on 04 Feb 2024 - 12:52

List Question

How to find the summation of the above trigonometric series without using desmos?

Representation of Weierstraß $\wp$ function for $\Lambda=\Bbb Z+\Bbb Z i$ as series over trigonometric function

$\lim_{p\to\infty}\sum_{n≥1}\arctan\left(\frac{1}{n^p}\right)=\frac{\pi}{4}$

Summation inside tan(x)

About $f(x) = \frac{\sum_{n=1}^{\infty} \sin^2(x/n)}{x}$

Use complex numbers to simplify this trigonometric expression

Some interesting trigonometric sums

Show $8 \sin \frac{4 \pi}{9} \sin \frac{2 \pi}{9} \sin \frac{\pi}{9} = \sqrt{3}$.

Can we find the exact value of a double sum with cosine without differentiation?

Fejer-Riesz Theorem for analytic polynomials

Deduce that $\sum_{n=1}^\infty\frac{1}{1+n^2}=\frac{1}{2}(\pi\coth\pi-1)\quad$

Does $ \sum_{n=-\infty}^{\infty}{{1}\over{x-\pi n}} $ converge to cotangent?

General approaches to solve trigonometric polynomial equations

Question about arcsec, trig sub and absolute value of $|x|$.

Calculate $\sum\limits_{k=1}^{\infty} \frac{\sin 2k}{3^k}$

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