List questions from trigonometric-series

Published on 14 Apr 2026 - 23:44

221

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Evaluating $\tan\left(\sum_{r=1}^{\infty} \arctan\left(\frac{4}{4r^2 +3}\right)\right)$

Published on 16 Apr 2026 - 13:50

168

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Integration of Fourier series produces denominator of $0$

Published on 09 Apr 2026 - 9:54

101

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Interval of convergence of trig. series involving complex numbers

Published on 12 Apr 2026 - 14:20

37

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Write trigionemtric series on exponential form

Published on 15 Apr 2026 - 2:23

133

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Is there a good estimate for $\sum_n\frac{1}{\cos(n\theta)}$?

Published on 11 Apr 2026 - 21:43

942

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Find the value of $\cot(16)\cot(44)+\cot(44)\cot(76)-\cot(76)\cot(16)$

Published on 14 Apr 2026 - 12:14

84

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Evaluating $\cos\frac{k\pi}{p}+\cos\frac{2k\pi}{p}+\cos\frac{3k\pi}{p}+\dots +\cos\frac{2\frac{(p - 1)}{2}k\pi}{p}$

Published on 15 Apr 2026 - 21:47

34

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Regarding Generalized Products of Cosines

Published on 13 Apr 2026 - 8:28

100

Views

Make $\sin(x)-x\cos(x)$ beautiful?

Published on 16 Apr 2026 - 4:06

550

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Why is the Taylor Series of tan⁻¹x valid for x=1?

Published on 10 May 2026 - 15:24

115

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I found a weird occurrence with equal angle polygons and sine waves and i need help proving it

Published on 12 Apr 2026 - 4:30

141

Views

Arcsin Series : $\sum\limits_{n=1}^{\infty}\Bigl [\frac {\pi}{2} -\arcsin\bigl(\frac{n}{n+1}\bigr)\Bigr]^{\alpha}$

Published on 15 Apr 2026 - 7:21

42

Views

Let $f(t)$ be a polynomial. When $\sum_{k=1}^n f(\sin{kx_0})$ is bounded for any $x_0$?

Published on 13 Apr 2026 - 20:23

62

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Trouble with infinite summation involving $\sin$ function

Published on 12 Apr 2026 - 9:43

List Question

Proving the formula of a function much similar to the Dirichlet kernel.

Evaluating $\tan\left(\sum_{r=1}^{\infty} \arctan\left(\frac{4}{4r^2 +3}\right)\right)$

Integration of Fourier series produces denominator of $0$

Interval of convergence of trig. series involving complex numbers

Write trigionemtric series on exponential form

Is there a good estimate for $\sum_n\frac{1}{\cos(n\theta)}$?

Find the value of $\cot(16)\cot(44)+\cot(44)\cot(76)-\cot(76)\cot(16)$

Evaluating $\cos\frac{k\pi}{p}+\cos\frac{2k\pi}{p}+\cos\frac{3k\pi}{p}+\dots +\cos\frac{2\frac{(p - 1)}{2}k\pi}{p}$

Regarding Generalized Products of Cosines

Make $\sin(x)-x\cos(x)$ beautiful?

Why is the Taylor Series of tan⁻¹x valid for x=1?

I found a weird occurrence with equal angle polygons and sine waves and i need help proving it

Arcsin Series : $\sum\limits_{n=1}^{\infty}\Bigl [\frac {\pi}{2} -\arcsin\bigl(\frac{n}{n+1}\bigr)\Bigr]^{\alpha}$

Let $f(t)$ be a polynomial. When $\sum_{k=1}^n f(\sin{kx_0})$ is bounded for any $x_0$?

Trouble with infinite summation involving $\sin$ function

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