List questions from trigonometric-series

Published on 19 Aug 2023 - 19:34

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Find the value of $\dfrac{\cos(\pi/4)\cos(\pi/6)\cos(\pi/8)\cos(\pi/10)\cos(\pi/12)\cdots}{\cos(\pi/3)\cos(\pi/5)\cos(\pi/7)\cos(\pi/9)\cdots}$

Published on 26 Aug 2023 - 14:25

89

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Prove That an Approximation of $\sin(x)$ via Euler's Formula Approaches $\sin(x)$

Published on 23 Feb 2026 - 4:55

152

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Generalized formula for $\sin((2n-1)x)$?

Published on 10 Sep 2023 - 7:15

65

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Prove that Definite Integral of Function of Cos (t) is Larger than Definite Integral of same Function multiplied by Sin (t)

Published on 22 Sep 2023 - 10:43

21

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Weak L^2 Zeros. Cone-Like Zeros.

Published on 25 Sep 2023 - 22:33

133

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Prove $\sum_{n≥1}\frac{\sin n}{n}= \frac{1}{2}(\pi-1)$

Published on 26 Sep 2023 - 11:54

84

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Solution for $x$, $\sin^{-1} (x-\frac{x^2}{2}+\frac{x^3}{4}-\cdots)+\cos^{-1} (x^2-\frac{x^4}{2}+\frac{x^6}{4}-\cdots)=\frac{\pi}{2}$

Published on 13 Oct 2023 - 17:06

72

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trigonometric way to solve Sine and Cosine sums?

Published on 18 Oct 2023 - 16:42

78

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How to prove this inequality about trigonometric polynomial？

Published on 21 Oct 2023 - 12:49

26

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Prove a suspected equality between an infinite sum of sinc-like terms and an infinite sum of cosines

Published on 01 Nov 2023 - 17:28

58

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$\lim_{n\rightarrow\infty} \sum_{k=1}^n \text{arccot}(2k^2)$

Published on 02 Nov 2023 - 15:50

55

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Trigonometric sum related to ellipse

Published on 11 Nov 2023 - 8:59

58

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How to evaluate the following trigonometric sum?

Published on 15 Nov 2023 - 10:21

91

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How to find the summation of the following inverse trigonometric series?

Published on 15 Nov 2023 - 15:57

List Question

Simplifying $\sin(nx)$ series notation

Find the value of $\dfrac{\cos(\pi/4)\cos(\pi/6)\cos(\pi/8)\cos(\pi/10)\cos(\pi/12)\cdots}{\cos(\pi/3)\cos(\pi/5)\cos(\pi/7)\cos(\pi/9)\cdots}$

Prove That an Approximation of $\sin(x)$ via Euler's Formula Approaches $\sin(x)$

Generalized formula for $\sin((2n-1)x)$?

Prove that Definite Integral of Function of Cos (t) is Larger than Definite Integral of same Function multiplied by Sin (t)

Weak L^2 Zeros. Cone-Like Zeros.

Prove $\sum_{n≥1}\frac{\sin n}{n}= \frac{1}{2}(\pi-1)$

Solution for $x$, $\sin^{-1} (x-\frac{x^2}{2}+\frac{x^3}{4}-\cdots)+\cos^{-1} (x^2-\frac{x^4}{2}+\frac{x^6}{4}-\cdots)=\frac{\pi}{2}$

trigonometric way to solve Sine and Cosine sums?

How to prove this inequality about trigonometric polynomial？

Prove a suspected equality between an infinite sum of sinc-like terms and an infinite sum of cosines

$\lim_{n\rightarrow\infty} \sum_{k=1}^n \text{arccot}(2k^2)$

Trigonometric sum related to ellipse

How to evaluate the following trigonometric sum?

How to find the summation of the following inverse trigonometric series?

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