Timeline for Trigonometric identity needed for sums involving secants
Current License: CC BY-SA 4.0
20 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 12, 2019 at 2:36 | history | edited | José Hdz. Stgo. | CC BY-SA 4.0 |
edited title
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| S Feb 21, 2013 at 17:18 | vote | accept | Felix Goldberg | ||
| Feb 21, 2013 at 0:43 | answer | added | Ira Gessel | timeline score: 5 | |
| Feb 19, 2013 at 1:20 | answer | added | Tom Dickens | timeline score: 1 | |
| Feb 19, 2013 at 1:16 | vote | accept | Felix Goldberg | ||
| S Feb 21, 2013 at 17:18 | |||||
| Feb 19, 2013 at 0:58 | comment | added | Felix Goldberg | @YemonChoi: I think I didn't quite understand your last remark. Can you explain? | |
| Feb 19, 2013 at 0:57 | answer | added | José Hdz. Stgo. | timeline score: 2 | |
| Feb 19, 2013 at 0:38 | comment | added | Yemon Choi | Why write this in terms of cosec? It would seem more natural to use half-angle formulas to have $\cos$ in the denominator (and modulo adding and scaling by a constant you can assume the numerator is 1) | |
| Feb 19, 2013 at 0:24 | history | edited | José Hdz. Stgo. | CC BY-SA 3.0 |
added 15 characters in body; added 2 characters in body
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| Feb 18, 2013 at 23:31 | comment | added | Felix Goldberg | @Will: Any way of determining this function explicitly? If I specialize $a$ to be, say, $n^{2}$, will it help? | |
| Feb 18, 2013 at 23:29 | comment | added | Felix Goldberg | @Gerhard: this co business can be co-nfusing at times. | |
| Feb 18, 2013 at 23:28 | history | edited | Felix Goldberg | CC BY-SA 3.0 |
added 2 characters in body; edited body
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| Feb 18, 2013 at 23:21 | comment | added | Will Sawin | This is a rational function in $a$ with integer coefficients, by Galois theory. I'm not sure what sorts of closed-form functions are capable of also being rational functions of arbitrarily high degree. | |
| Feb 18, 2013 at 22:43 | comment | added | Gerhard Paseman | Secant? Really? Gerhard "Was Cosecant In My Schooldays" Paseman, 2013.02.18 | |
| Feb 18, 2013 at 22:22 | history | edited | Felix Goldberg | CC BY-SA 3.0 |
edited title; added 55 characters in body; edited title
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| Feb 18, 2013 at 22:20 | comment | added | Gerhard Paseman | I recommend making the title more specific, and include the summation. You could even change the summand to something like 1/(a + csc^2(stuff)) to make it more line-friendly. (I wonder if change of variables would give log(some trig expression) as an answer?) Gerhard "Ask Me About Friendly Lines" Paseman, 2013.02.18 | |
| Feb 18, 2013 at 22:13 | comment | added | Felix Goldberg | @WillSawin: Right, thanks. Fixed it. | |
| Feb 18, 2013 at 22:12 | history | edited | Felix Goldberg | CC BY-SA 3.0 |
edited body
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| Feb 18, 2013 at 22:07 | comment | added | Will Sawin | You mean to sum from $k=0$ to $N$, not from $j=0$ to $k$, right? | |
| Feb 18, 2013 at 22:04 | history | asked | Felix Goldberg | CC BY-SA 3.0 |