List questions from trigonometric-series

Published on 09 Sep 2015 - 18:57

275

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Extremal points of a sum of trigonometric functions

Published on 10 Sep 2015 - 19:25

64

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Least period of sum of simple sines and cosines.

Published on 10 Sep 2015 - 23:42

2.9k

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How to find cotangent of complex numbers

Published on 18 Sep 2015 - 10:54

531

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iterated sine function on different arguments

Published on 24 Sep 2015 - 7:13

238

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The derivative of the trigonometric polynomial

Published on 27 Sep 2015 - 22:36

1.1k

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1D diffusion equation with Robin boundary conditions

Published on 09 Oct 2015 - 10:50

145

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Solving a question on trigonometric series

Published on 06 Mar 2026 - 20:28

51

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Answer to some trigonometry series

Published on 15 Oct 2015 - 8:10

134

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Find $n$ such that $\tan 1$ and its Taylor series up to $n$ agree to 1000 decimal places

Published on 16 Oct 2015 - 2:05

73

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Prove convergence of $\int^{\infty}_{0}\ t^{z-1}cos(t)dt$ and $\int^{\infty}_{0}\ t^{z-1}sin(t)dt$

Published on 18 Oct 2015 - 6:53

227

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$\sum_{n=0}^{\infty} \sin (nx) = \cot(x/2)$?

Published on 18 Oct 2015 - 16:33

160

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The sum $\sum_{n\leq x}\sum_{\substack{1\leq k\leq n \\ gdc(k,n)=1}}\cos^2\pi \frac{k}{n}$ diverges as $x$, when $x$ tends to infitity

Published on 27 Oct 2015 - 14:36

41

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Find the limit of $\lim_{j\rightarrow \infty}\sin^2(2^{j-1}\pi f)\prod_{i=0}^{j-2} \cos^2(2^i\pi f)$

Published on 29 Oct 2015 - 17:52

1.3k

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Infinite sum of cosine function

Published on 25 Mar 2026 - 16:48

List Question

A limit involving a double sum of products of arctangent values

Extremal points of a sum of trigonometric functions

Least period of sum of simple sines and cosines.

How to find cotangent of complex numbers

iterated sine function on different arguments

The derivative of the trigonometric polynomial

1D diffusion equation with Robin boundary conditions

Solving a question on trigonometric series

Answer to some trigonometry series

Find $n$ such that $\tan 1$ and its Taylor series up to $n$ agree to 1000 decimal places

Prove convergence of $\int^{\infty}_{0}\ t^{z-1}cos(t)dt$ and $\int^{\infty}_{0}\ t^{z-1}sin(t)dt$

$\sum_{n=0}^{\infty} \sin (nx) = \cot(x/2)$?

The sum $\sum_{n\leq x}\sum_{\substack{1\leq k\leq n \\ gdc(k,n)=1}}\cos^2\pi \frac{k}{n}$ diverges as $x$, when $x$ tends to infitity

Find the limit of $\lim_{j\rightarrow \infty}\sin^2(2^{j-1}\pi f)\prod_{i=0}^{j-2} \cos^2(2^i\pi f)$

Infinite sum of cosine function

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