Question

Evaluate the sum of the infinite series $1+\cos x + \cos^2 x + \cos ^3 x ...$ for $0<x<\pi$

score 694 · Answer 1 · 2019-02-21 18:25:34

694

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Evaluate the sum of the infinite series $1+\cos x + \cos^2 x + \cos ^3 x ...$ for $0<x<\pi$

Published on 21 Feb 2019 - 18:25

score 132 · Answer 2 · 2019-02-25 06:50:50

132

Views

eliminating parameters

Published on 25 Feb 2019 - 6:50

score 223 · Answer 3 · 2019-03-01 12:31:29

223

Views

Evaluation of the sum $\sum\limits_{n=1}^{\infty}\frac1n\sin\frac1n$

Published on 01 Mar 2019 - 12:31

score 54 · Answer 4 · 2019-03-05 08:36:15

54

Views

$\sum_{k=0}^{n-1}\frac{1}{1-2x\cos\frac{2k\pi}{n}+x^2}$

Published on 05 Mar 2019 - 8:36

score 435 · Answer 5 · 2019-03-22 21:16:26

435

Views

Is there better series to calculate sinh and cosh

Published on 22 Mar 2019 - 21:16

score 831 · Answer 6 · 2019-03-26 11:36:58

831

Views

Complex sum of sine and cosine functions

Published on 26 Mar 2019 - 11:36

score 245 · Answer 7 · 2019-03-30 21:12:06

245

Views

Closed form of :$ \int_{-\infty}^{\infty}\arctan\left(e^{-x^2 \text{erf}(x)}\right)\,\arctan\left(e^{x^2\text{erf(x)}}\right)\,dx $

Published on 30 Mar 2019 - 21:12

score 55 · Answer 8 · 2019-04-01 00:53:14

55

Views

Calculating Arc Hyperbolic CoTangent faster than using a standard power series

Published on 01 Apr 2019 - 0:53

score 887 · Answer 9 · 2019-04-01 14:26:10

887

Views

Prove that trigonometric series is/isn't a Fourier series

Published on 01 Apr 2019 - 14:26

score 72 · Answer 10 · 2019-04-02 19:52:55

72

Views

Calculating Arc Hyperbolic CoSecant faster than using a standard power series

Published on 02 Apr 2019 - 19:52

score 207 · Answer 11 · 2019-04-03 04:12:50

207

Views

Sum this series: $1+\cos{\theta}\sec{\theta}+\cos{2\theta}\sec^2{\theta}+\cdots+\cos{n\theta}\sec^n{\theta}$

Published on 03 Apr 2019 - 4:12

score 43 · Answer 12 · 2026-03-16 15:44:19

43

Views

Sums of trigonometric functions and polynomials

Published on 16 Mar 2026 - 15:44

score 51 · Answer 13 · 2019-04-03 15:39:24

51

Views

If $(1-\cos{x})^{n+1}=\sum_{k=0}^\infty c_k\cos{kt}$ for some integers $c_k$, then what is $\sum_{k=0}^\infty kc_k$?

Published on 03 Apr 2019 - 15:39

score 95 · Answer 14 · 2019-04-04 15:41:39

95

Views

Complex sum of sine and cosine function

Published on 04 Apr 2019 - 15:41

score 102 · Answer 15 · 2019-04-07 20:09:20

102

Views

Deducing that $cos( \frac{2π}{5}) = \frac{-1+ \sqrt{5}}{4}$

Published on 07 Apr 2019 - 20:09

List Question

Evaluate the sum of the infinite series $1+\cos x + \cos^2 x + \cos ^3 x ...$ for $0<x<\pi$

eliminating parameters

Evaluation of the sum $\sum\limits_{n=1}^{\infty}\frac1n\sin\frac1n$

$\sum_{k=0}^{n-1}\frac{1}{1-2x\cos\frac{2k\pi}{n}+x^2}$

Is there better series to calculate sinh and cosh

Complex sum of sine and cosine functions

Closed form of :$ \int_{-\infty}^{\infty}\arctan\left(e^{-x^2 \text{erf}(x)}\right)\,\arctan\left(e^{x^2\text{erf(x)}}\right)\,dx $

Calculating Arc Hyperbolic CoTangent faster than using a standard power series

Prove that trigonometric series is/isn't a Fourier series

Calculating Arc Hyperbolic CoSecant faster than using a standard power series

Sum this series: $1+\cos{\theta}\sec{\theta}+\cos{2\theta}\sec^2{\theta}+\cdots+\cos{n\theta}\sec^n{\theta}$

Sums of trigonometric functions and polynomials

If $(1-\cos{x})^{n+1}=\sum_{k=0}^\infty c_k\cos{kt}$ for some integers $c_k$, then what is $\sum_{k=0}^\infty kc_k$?

Complex sum of sine and cosine function

Deducing that $cos( \frac{2π}{5}) = \frac{-1+ \sqrt{5}}{4}$

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