Question

Sum to n terms the series $\cos \theta+ 2\cos 2\theta+ \cdots + n\cos n\theta$

score 882 · Answer 1 · 2026-03-19 21:53:32

882

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Sum to n terms the series $\cos \theta+ 2\cos 2\theta+ \cdots + n\cos n\theta$

Published on 19 Mar 2026 - 21:53

score 510 · Answer 2 · 2018-08-28 20:16:32

510

Views

Does the limit of $\cos^{2n}(n)$, with $n$ a positive integer, converges as $n\to\infty$?

Published on 28 Aug 2018 - 20:16

score 173 · Answer 3 · 2018-08-29 13:50:58

173

Views

When does the limit $|\cos(n)|^{f(n)}$ converges as $n \rightarrow \infty, n \in \mathbb{N}$?

Published on 29 Aug 2018 - 13:50

score 270 · Answer 4 · 2018-09-03 22:07:28

270

Views

Where should I find the ranges for $\sum_{n=1}^k \sin n$ and other similar trigonometric series?

Published on 03 Sep 2018 - 22:07

score 184 · Answer 5 · 2026-03-25 04:41:34

184

Views

This has to be in the lit somewhere. Can someone point me to this in any accessible book or lit?

Published on 25 Mar 2026 - 4:41

score 83 · Answer 6 · 2026-03-25 14:24:39

83

Views

Partial sums of $\frac{\pi}{2}=\sum_{n=0}^\infty \frac{(2n-1)!!}{2^n\cdot n!\cdot (2n+1) }$.

Published on 25 Mar 2026 - 14:24

score 70 · Answer 7 · 2018-09-18 02:06:22

70

Views

How do you evaluate this trigonometric sum?

Published on 18 Sep 2018 - 2:06

score 375 · Answer 8 · 2018-09-25 21:15:06

375

Views

Convergency of $\sum_{n=1}^{\infty}\frac{\csc(n)}{n!}$

Published on 25 Sep 2018 - 21:15

score 85 · Answer 9 · 2018-09-26 00:25:54

85

Views

Find minimum maximum of sum of absolute values of sines, offset by equidistant phases

Published on 26 Sep 2018 - 0:25

score 234 · Answer 10 · 2018-09-30 20:34:29

234

Views

Limit of a sum using complex analysis.

Published on 30 Sep 2018 - 20:34

score 106 · Answer 11 · 2018-10-09 17:41:11

106

Views

ratio test to prove trigonometric series converges

Published on 09 Oct 2018 - 17:41

score 224 · Answer 12 · 2018-10-10 00:00:46

224

Views

$\lim\limits_{s\to0^+}\sum_n\frac{\cos\left(\pi\frac{n}{m}\right)}{n^s}$ & $\lim\limits_{s\to0^+}\sum_n\frac{\sin\left(\pi\frac{n}{m}\right)}{n^s}$

Published on 10 Oct 2018 - 0:00

score 501 · Answer 13 · 2018-10-11 16:35:07

501

Views

Approximate Trig Functions without the use of Taylor Series

Published on 11 Oct 2018 - 16:35

score 59 · Answer 14 · 2018-10-14 11:28:00

59

Views

General term for the sum $\sum \sin(k)$

Published on 14 Oct 2018 - 11:28

score 218 · Answer 15 · 2018-10-15 06:57:28

218

Views

Simpson vs. trapezoidal rule for numerically integrating $\cos{x}\cosh{x}$ in range 0 to $\pi$?

Published on 15 Oct 2018 - 6:57

List Question

Sum to n terms the series $\cos \theta+ 2\cos 2\theta+ \cdots + n\cos n\theta$

Does the limit of $\cos^{2n}(n)$, with $n$ a positive integer, converges as $n\to\infty$?

When does the limit $|\cos(n)|^{f(n)}$ converges as $n \rightarrow \infty, n \in \mathbb{N}$?

Where should I find the ranges for $\sum_{n=1}^k \sin n$ and other similar trigonometric series?

This has to be in the lit somewhere. Can someone point me to this in any accessible book or lit?

Partial sums of $\frac{\pi}{2}=\sum_{n=0}^\infty \frac{(2n-1)!!}{2^n\cdot n!\cdot (2n+1) }$.

How do you evaluate this trigonometric sum?

Convergency of $\sum_{n=1}^{\infty}\frac{\csc(n)}{n!}$

Find minimum maximum of sum of absolute values of sines, offset by equidistant phases

Limit of a sum using complex analysis.

ratio test to prove trigonometric series converges

$\lim\limits_{s\to0^+}\sum_n\frac{\cos\left(\pi\frac{n}{m}\right)}{n^s}$ & $\lim\limits_{s\to0^+}\sum_n\frac{\sin\left(\pi\frac{n}{m}\right)}{n^s}$

Approximate Trig Functions without the use of Taylor Series

General term for the sum $\sum \sin(k)$

Simpson vs. trapezoidal rule for numerically integrating $\cos{x}\cosh{x}$ in range 0 to $\pi$?

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