Question

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

score 890 · Answer 1 · 2026-04-29 12:42:56

890

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

Published on 29 Apr 2026 - 12:42

score 514 · Answer 2 · 2026-04-16 22:02:11

514

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

Published on 16 Apr 2026 - 22:02

score 176 · Answer 3 · 2026-04-16 01:36:08

176

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

Published on 16 Apr 2026 - 1:36

score 273 · Answer 4 · 2026-04-15 23:45:23

273

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

Published on 15 Apr 2026 - 23:45

score 187 · Answer 5 · 2026-05-10 14:07:44

187

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

Published on 10 May 2026 - 14:07

score 86 · Answer 6 · 2026-05-10 21:28:32

86

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

Published on 10 May 2026 - 21:28

score 73 · Answer 7 · 2026-04-08 17:49:57

73

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How do you evaluate this trigonometric sum?

Published on 08 Apr 2026 - 17:49

score 378 · Answer 8 · 2026-04-14 05:46:51

378

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

Published on 14 Apr 2026 - 5:46

score 88 · Answer 9 · 2026-04-16 06:06:19

88

Views

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

Published on 16 Apr 2026 - 6:06

score 237 · Answer 10 · 2026-04-09 10:33:59

237

Views

Limit of a sum using complex analysis.

Published on 09 Apr 2026 - 10:33

score 109 · Answer 11 · 2026-04-13 12:01:48

109

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ratio test to prove trigonometric series converges

Published on 13 Apr 2026 - 12:01

score 227 · Answer 12 · 2026-04-15 17:32:22

227

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 15 Apr 2026 - 17:32

score 503 · Answer 13 · 2026-04-14 21:25:01

503

Views

Approximate Trig Functions without the use of Taylor Series

Published on 14 Apr 2026 - 21:25

score 62 · Answer 14 · 2026-04-11 03:17:49

62

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

Published on 11 Apr 2026 - 3:17

score 223 · Answer 15 · 2026-05-10 14:56:16

223

Views

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

Published on 10 May 2026 - 14:56

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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