Question

How to determine whether the sum ${\sum}_{k=1}^{\infty} {\sin(2^k)\over k}$ converges?

score 134 · Answer 1 · 2026-03-25 21:48:09

134

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How to determine whether the sum ${\sum}_{k=1}^{\infty} {\sin(2^k)\over k}$ converges?

Published on 25 Mar 2026 - 21:48

score 56 · Answer 2 · 2018-06-14 03:45:11

56

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Question regarding tangent and fraction integration

Published on 14 Jun 2018 - 3:45

score 123 · Answer 3 · 2018-06-14 06:44:01

123

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How to find extent of function inputs where all of its outputs are positive?

Published on 14 Jun 2018 - 6:44

score 48 · Answer 4 · 2026-04-04 23:46:54

48

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If $\cot^{-1} a < \epsilon $ can you tell me why $a> \cot \epsilon$

Published on 04 Apr 2026 - 23:46

score 3.6k · Answer 5 · 2018-06-14 10:45:34

3.6k

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How can the maximum value of $f(\theta) = 5\cos\theta + 3\cos(\theta + \pi /3)$ be $10$?

Published on 14 Jun 2018 - 10:45

score 82 · Answer 6 · 2026-03-25 14:35:53

82

Views

Evaluating $\cos\frac{k\pi}{p}+\cos\frac{2k\pi}{p}+\cos\frac{3k\pi}{p}+\dots +\cos\frac{2\frac{(p - 1)}{2}k\pi}{p}$

Published on 25 Mar 2026 - 14:35

score 32 · Answer 7 · 2026-04-01 18:02:42

32

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Regarding Generalized Products of Cosines

Published on 01 Apr 2026 - 18:02

score 1.1k · Answer 8 · 2026-03-29 12:40:34

1.1k

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Is $\cos^2 \theta$ the same as $(\cos \theta)^2$

Published on 29 Mar 2026 - 12:40

score 231 · Answer 9 · 2026-03-27 07:49:22

231

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Writing $\cos(x^p)$ as a real part of the exponential function

Published on 27 Mar 2026 - 7:49

score 82 · Answer 10 · 2018-06-15 01:01:37

82

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Studying convergence of $\int_{a}^{+\infty}\frac{\sin(x)}{x^n}$ for $a,n \in \mathbb{R^+}$?

Published on 15 Jun 2018 - 1:01

score 1.6k · Answer 11 · 2026-03-25 15:11:08

1.6k

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Does the sequence $n+\tan(n), n \in\mathbb{N}$ have a lower bound?

Published on 25 Mar 2026 - 15:11

score 1.6k · Answer 12 · 2026-03-30 15:14:05

1.6k

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Understanding this proof for $\sin(a+b)=\sin(a)\cos(b)+\sin(b)\cos(a)$ from Gelfand

Published on 30 Mar 2026 - 15:14

score 663 · Answer 13 · 2018-06-15 08:00:30

663

Views

Rotating & flipping the unit circle and computing the right angle

Published on 15 Jun 2018 - 8:00

score 222 · Answer 14 · 2018-06-15 10:10:47

222

Views

Prove this $\sin(nx)$ identity

Published on 15 Jun 2018 - 10:10

score 569 · Answer 15 · 2018-06-16 00:01:24

569

Views

Ambiguous Case Triangle Problem

Published on 16 Jun 2018 - 0:01

List Question

How to determine whether the sum ${\sum}_{k=1}^{\infty} {\sin(2^k)\over k}$ converges?

Question regarding tangent and fraction integration

How to find extent of function inputs where all of its outputs are positive?

If $\cot^{-1} a < \epsilon $ can you tell me why $a> \cot \epsilon$

How can the maximum value of $f(\theta) = 5\cos\theta + 3\cos(\theta + \pi /3)$ be $10$?

Evaluating $\cos\frac{k\pi}{p}+\cos\frac{2k\pi}{p}+\cos\frac{3k\pi}{p}+\dots +\cos\frac{2\frac{(p - 1)}{2}k\pi}{p}$

Regarding Generalized Products of Cosines

Is $\cos^2 \theta$ the same as $(\cos \theta)^2$

Writing $\cos(x^p)$ as a real part of the exponential function

Studying convergence of $\int_{a}^{+\infty}\frac{\sin(x)}{x^n}$ for $a,n \in \mathbb{R^+}$?

Does the sequence $n+\tan(n), n \in\mathbb{N}$ have a lower bound?

Understanding this proof for $\sin(a+b)=\sin(a)\cos(b)+\sin(b)\cos(a)$ from Gelfand

Rotating & flipping the unit circle and computing the right angle

Prove this $\sin(nx)$ identity

Ambiguous Case Triangle Problem

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