List questions from trigonometric-series

Published on 21 Oct 2018 - 17:54

70

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$1 + \cos2C - \cos2A - \cos2B=4\sin A\sin B\sin C$.

Published on 22 Oct 2018 - 19:51

1.3k

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The integer part of $\sum_{k=0}^{44}\frac{1}{\cos(k^\circ)\cos((k+1)^\circ)}$

Published on 24 Oct 2018 - 0:52

354

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Proof of the formula for $\sin \theta + 2\sin 2\theta +\cdots + n\sin n\theta$

Published on 29 Oct 2018 - 23:24

663

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Find the Sum of the Series Using Complex Exponentials

Published on 07 Nov 2018 - 3:16

120

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Bounding $\left|\sum_{\nu=n+1}^{\infty}a_\nu cos(\nu x)\right|$

Published on 09 Nov 2018 - 16:40

595

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Are the partial sums for $\sum_{n=1}^{\infty}\sin(n^a)$ bounded for $a\geq1$ and unbounded for $0<a<1$?

Published on 20 Mar 2026 - 16:08

501

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Asymptotic approximation/expansion for arccosine function?

Published on 15 Nov 2018 - 20:17

3k

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Taylor series expansion for $\cos(2x)$ about $\frac{\pi}{8}$

Published on 16 Nov 2018 - 11:14

885

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Prove that $\frac{1}{\sin\frac{\pi}{15}}+\frac{1}{\sin\frac{2\pi}{15}}-\frac{1}{\sin\frac{4\pi}{15}}+\frac{1}{\sin\frac{8\pi}{15}}=4\sqrt{3}$

Published on 18 Nov 2018 - 6:34

189

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Proof formula for $(\sin(x))^n$

Published on 25 Nov 2018 - 17:54

2.2k

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Fourier series of Heaviside step function?

Published on 23 Feb 2026 - 4:17

72

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math of Diffusion ; diffusion through membrane

Published on 05 Dec 2018 - 4:39

79

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Calculation of Complex Trigonometric Summation

Published on 11 Dec 2018 - 15:27

1.1k

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How to check if the sum of infinite series is convergent?

Published on 11 Dec 2018 - 21:37

List Question

Using Leibniz on $\sum_{n=1}^\infty \sin(\pi \sqrt{n^2+1})$

$1 + \cos2C - \cos2A - \cos2B=4\sin A\sin B\sin C$.

The integer part of $\sum_{k=0}^{44}\frac{1}{\cos(k^\circ)\cos((k+1)^\circ)}$

Proof of the formula for $\sin \theta + 2\sin 2\theta +\cdots + n\sin n\theta$

Find the Sum of the Series Using Complex Exponentials

Bounding $\left|\sum_{\nu=n+1}^{\infty}a_\nu cos(\nu x)\right|$

Are the partial sums for $\sum_{n=1}^{\infty}\sin(n^a)$ bounded for $a\geq1$ and unbounded for $0<a<1$?

Asymptotic approximation/expansion for arccosine function?

Taylor series expansion for $\cos(2x)$ about $\frac{\pi}{8}$

Prove that $\frac{1}{\sin\frac{\pi}{15}}+\frac{1}{\sin\frac{2\pi}{15}}-\frac{1}{\sin\frac{4\pi}{15}}+\frac{1}{\sin\frac{8\pi}{15}}=4\sqrt{3}$

Proof formula for $(\sin(x))^n$

Fourier series of Heaviside step function?

math of Diffusion ; diffusion through membrane

Calculation of Complex Trigonometric Summation

How to check if the sum of infinite series is convergent?

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