Question

Simplify $\sin(\alpha)+\sin(\alpha+x)+\sin(\alpha+2x)+\sin(\alpha+3x)+ \dotsb +\sin(\alpha+nx)$

score 62 · Answer 1 · 2018-04-10 18:02:39

62

Views

Simplify $\sin(\alpha)+\sin(\alpha+x)+\sin(\alpha+2x)+\sin(\alpha+3x)+ \dotsb +\sin(\alpha+nx)$

Published on 10 Apr 2018 - 18:02

score 50 · Answer 2 · 2018-04-13 18:17:56

50

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Convergent series with trigonometric functions like $a_{0}=m, a_{2n-1}=\sin(a_{2n-2}), a_{2n}=\cos(a_{2n-1})$

Published on 13 Apr 2018 - 18:17

score 71 · Answer 3 · 2018-04-15 04:09:19

71

Views

Proving a general formula for $\sum_{m=0}^{n}(-1)^m\binom{n}{m} \sin(a+(n-m)h)$

Published on 15 Apr 2018 - 4:09

score 114 · Answer 4 · 2018-04-16 19:46:29

114

Views

For rotation matrix $A$, find $B = A^4- A^3 + A^2 - A$

Published on 16 Apr 2018 - 19:46

score 121 · Answer 5 · 2018-04-18 14:13:42

121

Views

Why are these $\sum \cos$ and $\csc$ equivalent?

Published on 18 Apr 2018 - 14:13

score 135 · Answer 6 · 2018-04-21 03:54:08

135

Views

Find the value of $\sin(\tfrac{\pi}3) + \tfrac12\sin(\tfrac{2\pi}3) + \tfrac13\sin(\tfrac{3\pi}3)+\dots$ up to infinity

Published on 21 Apr 2018 - 3:54

score 165 · Answer 7 · 2018-04-21 09:10:34

165

Views

Does this formula for a sum of cosines has a name?

Published on 21 Apr 2018 - 9:10

score 98 · Answer 8 · 2018-04-21 15:24:12

98

Views

Subtle Carefulness in use of AM-GM inequality

Published on 21 Apr 2018 - 15:24

score 35 · Answer 9 · 2018-04-21 18:13:51

35

Views

Trig Sequence Puzzel?

Published on 21 Apr 2018 - 18:13

score 46 · Answer 10 · 2026-03-24 23:49:29

46

Views

Equivalence between $\phi (z,s,a)$ and a sum of single impulses

Published on 24 Mar 2026 - 23:49

score 161 · Answer 11 · 2018-04-23 22:19:08

161

Views

Sine series: angle multipliers add to 1

Published on 23 Apr 2018 - 22:19

score 86 · Answer 12 · 2018-04-25 23:15:03

86

Views

Limiting Behavior of the oscillating series

Published on 25 Apr 2018 - 23:15

score 206 · Answer 13 · 2018-04-28 18:09:49

206

Views

$\frac{1}{n}-\sin(\frac{1}{n})\sim\frac{1}{6n^3}$?

Published on 28 Apr 2018 - 18:09

score 120 · Answer 14 · 2018-05-04 23:25:55

120

Views

Sum of sines inequality

Published on 04 May 2018 - 23:25

score 88 · Answer 15 · 2026-03-25 04:58:47

88

Views

Prove that $\tan^{-1}(1/n)+\tan^{-1}(2/n)+\cdots+\tan^{-1}(n/n)$ increases as $n$ increases

Published on 25 Mar 2026 - 4:58

List Question

Simplify $\sin(\alpha)+\sin(\alpha+x)+\sin(\alpha+2x)+\sin(\alpha+3x)+ \dotsb +\sin(\alpha+nx)$

Convergent series with trigonometric functions like $a_{0}=m, a_{2n-1}=\sin(a_{2n-2}), a_{2n}=\cos(a_{2n-1})$

Proving a general formula for $\sum_{m=0}^{n}(-1)^m\binom{n}{m} \sin(a+(n-m)h)$

For rotation matrix $A$, find $B = A^4- A^3 + A^2 - A$

Why are these $\sum \cos$ and $\csc$ equivalent?

Find the value of $\sin(\tfrac{\pi}3) + \tfrac12\sin(\tfrac{2\pi}3) + \tfrac13\sin(\tfrac{3\pi}3)+\dots$ up to infinity

Does this formula for a sum of cosines has a name?

Subtle Carefulness in use of AM-GM inequality

Trig Sequence Puzzel?

Equivalence between $\phi (z,s,a)$ and a sum of single impulses

Sine series: angle multipliers add to 1

Limiting Behavior of the oscillating series

$\frac{1}{n}-\sin(\frac{1}{n})\sim\frac{1}{6n^3}$?

Sum of sines inequality

Prove that $\tan^{-1}(1/n)+\tan^{-1}(2/n)+\cdots+\tan^{-1}(n/n)$ increases as $n$ increases

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