Question

Can any trigonometric polynomial be written in euler's form?

score 192 · Answer 1 · 2020-05-05 12:50:14

192

Views

Can any trigonometric polynomial be written in euler's form?

Published on 05 May 2020 - 12:50

score 332 · Answer 2 · 2020-05-05 21:14:59

332

Views

prove that $ \sin(x+y)=\sin{x} \cdot \cos{y} +\sin{y} \cdot \cos{x} $ using power series (without trigonometric identities)

Published on 05 May 2020 - 21:14

score 59 · Answer 3 · 2020-05-07 08:17:05

59

Views

Can Eulers product for $\sin x$ be generalised for any periodic function?

Published on 07 May 2020 - 8:17

score 228 · Answer 4 · 2020-05-08 10:26:44

228

Views

Find $\lim _{r\to \infty}\frac{\left(\prod_{n=1}^{r}\sin\left(nx\right)\right)}{\left(\frac{1}{r}\right)}$

Published on 08 May 2020 - 10:26

score 819 · Answer 5 · 2020-05-09 05:34:04

819

Views

Prove $\frac1{\cos6°}+ \frac1{\sin24°} + \frac1{\sin48° }- \frac1{\sin12° }= 0$

Published on 09 May 2020 - 5:34

score 100 · Answer 6 · 2020-05-20 14:28:22

100

Views

Proving $\sum\limits_{k=0}^n\cos(kx)=\cos(\frac{nx}{2})\frac{\sin\frac{(n+1)x}2}{\sin\frac x2}$

Published on 20 May 2020 - 14:28

score 78 · Answer 7 · 2020-05-21 19:42:08

78

Views

Relation between the integral of the imaginary part and the real part of trigonometric polynomial

Published on 21 May 2020 - 19:42

score 52 · Answer 8 · 2020-05-23 07:48:27

52

Views

Covergence of sequence of sum of M Cosines

Published on 23 May 2020 - 7:48

score 82 · Answer 9 · 2020-06-02 04:29:56

82

Views

$F(x , y)=\cos ^{y}\left(\frac{\pi}{x}\right)+\cos ^{y}\left(\frac{3 \pi}{x}\right)+\cos ^{y}\left(\frac{5 \pi}{x}\right)$

Published on 02 Jun 2020 - 4:29

score 61 · Answer 10 · 2020-06-03 12:56:37

61

Views

Maximum of trigonometric functions

Published on 03 Jun 2020 - 12:56

score 68 · Answer 11 · 2020-06-06 18:09:03

68

Views

Evaluate the following inverse trigonometric summation:

Published on 06 Jun 2020 - 18:09

score 73 · Answer 12 · 2026-03-27 00:02:04

73

Views

Solving $\cosh(zx) = yx$?

Published on 27 Mar 2026 - 0:02

score 447 · Answer 13 · 2020-06-12 09:49:57

447

Views

Does $\sum_{n=1}^\infty \frac {\left(\cos\left(\frac{n\pi}{8}\right)\right)^n}{n}$ converge?

Published on 12 Jun 2020 - 9:49

score 39 · Answer 14 · 2020-06-18 07:16:09

39

Views

Integral of a function, f, knowing that a trigonometric series converges uniformly to f

Published on 18 Jun 2020 - 7:16

score 60 · Answer 15 · 2020-06-19 11:31:30

60

Views

Divergent series in a finite interval

Published on 19 Jun 2020 - 11:31

List Question

Can any trigonometric polynomial be written in euler's form?

prove that $ \sin(x+y)=\sin{x} \cdot \cos{y} +\sin{y} \cdot \cos{x} $ using power series (without trigonometric identities)

Can Eulers product for $\sin x$ be generalised for any periodic function?

Find $\lim _{r\to \infty}\frac{\left(\prod_{n=1}^{r}\sin\left(nx\right)\right)}{\left(\frac{1}{r}\right)}$

Prove $\frac1{\cos6°}+ \frac1{\sin24°} + \frac1{\sin48° }- \frac1{\sin12° }= 0$

Proving $\sum\limits_{k=0}^n\cos(kx)=\cos(\frac{nx}{2})\frac{\sin\frac{(n+1)x}2}{\sin\frac x2}$

Relation between the integral of the imaginary part and the real part of trigonometric polynomial

Covergence of sequence of sum of M Cosines

$F(x , y)=\cos ^{y}\left(\frac{\pi}{x}\right)+\cos ^{y}\left(\frac{3 \pi}{x}\right)+\cos ^{y}\left(\frac{5 \pi}{x}\right)$

Maximum of trigonometric functions

Evaluate the following inverse trigonometric summation:

Solving $\cosh(zx) = yx$?

Does $\sum_{n=1}^\infty \frac {\left(\cos\left(\frac{n\pi}{8}\right)\right)^n}{n}$ converge?

Integral of a function, f, knowing that a trigonometric series converges uniformly to f

Divergent series in a finite interval

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