Question

Stuck at the end with a trigonometric series

score 54 · Answer 1 · 2021-07-28 14:49:02

Stuck at the end with a trigonometric series

Published on 28 Jul 2021 - 14:49

score 184 · Answer 2 · 2021-07-30 19:03:32

Showing $ n=\sum_{k=1}^{(n+1)/2}\sin{\frac{2\pi k}{n+2}}\sin{\frac{\pi(n-2(k-1))}{n+2}}\sec^2{\frac{\pi(n-2(k-1))}{2n+4}}$ for natural $n$

score 45 · Answer 3 · 2021-08-06 16:50:00

45

Views

Can the coefficients of a trigonometric series bounded by its infinite norm?

Published on 06 Aug 2021 - 16:50

score 407 · Answer 4 · 2026-03-30 00:34:30

407

Views

On $\mathrm{\sum\limits_{x=1}^\infty Ci(x)}$.

Published on 30 Mar 2026 - 0:34

score 451 · Answer 5 · 2026-03-30 02:24:08

451

Views

On $\mathrm{\sum\limits_{n=0}^\infty \left(C(n)-\frac{\sqrt\pi}{2\sqrt2}\right)+ \sum\limits_{n=0}^\infty \left(S(n)-\frac{\sqrt\pi}{2\sqrt2}\right)}$

Published on 30 Mar 2026 - 2:24

score 303 · Answer 6 · 2021-08-18 21:10:48

303

Views

If $\sin(n!\, x)\to 0$ as $n\to +\infty$, is then $x$ inevitably a rational multiple of $\pi$?

Published on 18 Aug 2021 - 21:10

score 138 · Answer 7 · 2021-08-19 12:39:05

138

Views

Is there an easy way to solve this real-world circle/congruent triangles/trigonometry problem?

Published on 19 Aug 2021 - 12:39

score 137 · Answer 8 · 2021-08-20 12:41:59

137

Views

Evaluating $\mathrm{\int\limits_0^1 D(x) dx=I_2(1)-1-\sum\limits_{n=2}^\infty \frac{n\cos(n!)}{n!^2}}$. D(x) is the Darboux fractal function.

Published on 20 Aug 2021 - 12:41

score 77 · Answer 9 · 2021-08-29 02:17:55

77

Views

Simplify infinite cosine series

Published on 29 Aug 2021 - 2:17

score 110 · Answer 10 · 2026-03-27 04:57:11

110

Views

How to write a square of a trigonometric polynomial cosine?

Published on 27 Mar 2026 - 4:57

score 555 · Answer 11 · 2026-02-26 02:55:22

555

Views

Uniform convergence of a series of functions with cos(x)

Published on 26 Feb 2026 - 2:55

score 78 · Answer 12 · 2021-09-22 11:41:47

78

Views

Challenging series of a fraction with a cosine and a variable

Published on 22 Sep 2021 - 11:41

score 53 · Answer 13 · 2021-09-24 07:28:29

53

Views

Challenging series with cosine, sine and a variable to be expressed as a polynomial

Published on 24 Sep 2021 - 7:28

score 69 · Answer 14 · 2021-09-25 11:19:04

69

Views

Sum $\sum_{r=1}^n \cos(2.(\frac {3^rx}{3})).\csc (3^rx)$

Published on 25 Sep 2021 - 11:19

score 124 · Answer 15 · 2026-03-25 04:44:18

124

Views

Pade approximation of $1-\frac{(1-x^2)\sin^2(\theta)\sin^2(\theta-y)}{(1-(1-x^2)^{1/2}\cos(\theta)\cos(\theta-y))^2}$ upto $2^{nd}$ order

Published on 25 Mar 2026 - 4:44

List Question

Stuck at the end with a trigonometric series

Showing $ n=\sum_{k=1}^{(n+1)/2}\sin{\frac{2\pi k}{n+2}}\sin{\frac{\pi(n-2(k-1))}{n+2}}\sec^2{\frac{\pi(n-2(k-1))}{2n+4}}$ for natural $n$

Can the coefficients of a trigonometric series bounded by its infinite norm?

On $\mathrm{\sum\limits_{x=1}^\infty Ci(x)}$.

On $\mathrm{\sum\limits_{n=0}^\infty \left(C(n)-\frac{\sqrt\pi}{2\sqrt2}\right)+ \sum\limits_{n=0}^\infty \left(S(n)-\frac{\sqrt\pi}{2\sqrt2}\right)}$

If $\sin(n!\, x)\to 0$ as $n\to +\infty$, is then $x$ inevitably a rational multiple of $\pi$?

Is there an easy way to solve this real-world circle/congruent triangles/trigonometry problem?

Evaluating $\mathrm{\int\limits_0^1 D(x) dx=I_2(1)-1-\sum\limits_{n=2}^\infty \frac{n\cos(n!)}{n!^2}}$. D(x) is the Darboux fractal function.

Simplify infinite cosine series

How to write a square of a trigonometric polynomial cosine?

Uniform convergence of a series of functions with cos(x)

Challenging series of a fraction with a cosine and a variable

Challenging series with cosine, sine and a variable to be expressed as a polynomial

Sum $\sum_{r=1}^n \cos(2.(\frac {3^rx}{3})).\csc (3^rx)$

Pade approximation of $1-\frac{(1-x^2)\sin^2(\theta)\sin^2(\theta-y)}{(1-(1-x^2)^{1/2}\cos(\theta)\cos(\theta-y))^2}$ upto $2^{nd}$ order

Trending Questions

Popular # Hahtags

Popular Questions