Timeline for How to use Mathematica to simplify this kind of trig sum?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 3, 2020 at 16:54 | vote | accept | CasperYC | ||
| Feb 2, 2020 at 13:10 | comment | added | CasperYC | @MariuszIwaniuk HAHA. That's fine. I gave up Maple ten years ago ... | |
| Feb 2, 2020 at 12:55 | comment | added | aooiiii | The reason is probably that simplifying such expressions requires guessing the pattern, finding the formula for x_i and then doing the sum the usual way, guessing the pattern being the hardest part of the problem. This would greatly slow down the Simplify function. | |
| Feb 2, 2020 at 12:52 | comment | added | Mariusz Iwaniuk | @CasperYC. I don't really know, maybe because the algorithm is written in this way,can't find simpler form. Using Maple also can't . | |
| Feb 2, 2020 at 12:46 | comment | added | CasperYC | That's just so weird!! Why wouldn't Sum[Sin[Pi/23*(2 + 4*k)], {k, 0, 10}]//Simplify work straight away..... | |
| Feb 2, 2020 at 12:43 | comment | added | aooiiii | The second sum confuses Mathematica in its original form and has to be tweaked a little: Sum[(-1)^k*Sin[Pi/23*(2 + 4*k)], {k, 0, n}] /. n -> 10 | |
| Feb 2, 2020 at 12:38 | history | answered | Mariusz Iwaniuk | CC BY-SA 4.0 |