Question

Can you raise trigonometric functions to a non-integer power?

score 88 · Answer 1 · 2014-12-16 12:00:23

88

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Can you raise trigonometric functions to a non-integer power?

Published on 16 Dec 2014 - 12:00

score 455 · Answer 2 · 2014-12-19 12:25:06

455

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How to compute $\sum_{n\ =\ 1}^{\infty}\arctan\left(\,\frac{3n^{2}}{ 2n^{4} - 1}\,\right)$

Published on 19 Dec 2014 - 12:25

score 122 · Answer 3 · 2014-12-27 14:37:09

122

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What is $k_{\text{max}}$?

Published on 27 Dec 2014 - 14:37

score 125 · Answer 4 · 2019-10-09 15:27:46

125

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Prove this formula for the $\sin\left(\frac{x}{2^n}\right), x \in [0,\frac{\pi}{2}[, n \in \Bbb{N}$

Published on 09 Oct 2019 - 15:27

score 280 · Answer 5 · 2019-10-10 05:59:22

280

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Finite summation $\sum _{k=0}^{n-1} \csc ^{2 m}\left(\frac{\pi (2 k+1)}{2 n}+y\right)$

Published on 10 Oct 2019 - 5:59

score 33 · Answer 6 · 2019-10-12 10:35:28

33

Views

trignometry related question

Published on 12 Oct 2019 - 10:35

score 182 · Answer 7 · 2026-03-25 11:16:21

182

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How does one obtain an expression for the Dirichlet series $g(s, \theta) = \sum_{n=1}^{\infty} \frac{\cos(n \theta)}{n^{s}} $?

Published on 25 Mar 2026 - 11:16

score 321 · Answer 8 · 2026-03-25 22:46:42

321

Views

Sum of Sine Series

Published on 25 Mar 2026 - 22:46

score 399 · Answer 9 · 2019-11-02 21:58:20

399

Views

Show that $\sum_{k=0}^{\infty} p^k\cos(kx) = \frac{1-p\cos(x)}{1-2p\cos(x)+p^2}$ using complex numbers.

Published on 02 Nov 2019 - 21:58

score 43 · Answer 10 · 2019-11-03 15:04:08

43

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finding fourier coefficients for $ f(x)= \sin^k (x) , k \in \mathbb{N} $

Published on 03 Nov 2019 - 15:04

score 520 · Answer 11 · 2019-11-07 12:03:07

520

Views

What is the finite sum of sinc functions?

Published on 07 Nov 2019 - 12:03

score 676 · Answer 12 · 2019-11-07 17:09:29

676

Views

Evaluating $\sum_{k=0}^\infty\sin(kx)$ and $\sum_{k=0}^\infty\cos(kx)$

Published on 07 Nov 2019 - 17:09

score 220 · Answer 13 · 2026-03-19 15:28:44

220

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showing property for the derivative $ \partial_x T$ of a trigonometric polynomial

Published on 19 Mar 2026 - 15:28

score 64 · Answer 14 · 2019-11-21 07:21:04

64

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Limit of trigonometric functions

Published on 21 Nov 2019 - 7:21

score 75 · Answer 15 · 2019-11-25 07:51:55

75

Views

Can we give a closed form expression for $\sum_{k=-\infty}^\infty\frac1{a+(k+x)^2}$?

Published on 25 Nov 2019 - 7:51

List Question

Can you raise trigonometric functions to a non-integer power?

How to compute $\sum_{n\ =\ 1}^{\infty}\arctan\left(\,\frac{3n^{2}}{ 2n^{4} - 1}\,\right)$

What is $k_{\text{max}}$?

Prove this formula for the $\sin\left(\frac{x}{2^n}\right), x \in [0,\frac{\pi}{2}[, n \in \Bbb{N}$

Finite summation $\sum _{k=0}^{n-1} \csc ^{2 m}\left(\frac{\pi (2 k+1)}{2 n}+y\right)$

trignometry related question

How does one obtain an expression for the Dirichlet series $g(s, \theta) = \sum_{n=1}^{\infty} \frac{\cos(n \theta)}{n^{s}} $?

Sum of Sine Series

Show that $\sum_{k=0}^{\infty} p^k\cos(kx) = \frac{1-p\cos(x)}{1-2p\cos(x)+p^2}$ using complex numbers.

finding fourier coefficients for $ f(x)= \sin^k (x) , k \in \mathbb{N} $

What is the finite sum of sinc functions?

Evaluating $\sum_{k=0}^\infty\sin(kx)$ and $\sum_{k=0}^\infty\cos(kx)$

showing property for the derivative $ \partial_x T$ of a trigonometric polynomial

Limit of trigonometric functions

Can we give a closed form expression for $\sum_{k=-\infty}^\infty\frac1{a+(k+x)^2}$?

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