| By Tongos (Tongos) on Wednesday, September 08, 2004 - 09:36 pm: Edit |
--math discussion----
Can somebody help me find an alternate form of sinx? (without using the taylor series, think of it yourself)
-----this is not a homework question.
| By Thermodude (Thermodude) on Wednesday, September 08, 2004 - 09:40 pm: Edit |
hmmm...I'm guessing you would mean a non-trigonometric form of sinx...
...good question...i'll think about it.
| By Tongos (Tongos) on Wednesday, September 08, 2004 - 09:43 pm: Edit |
yeah, thats it, thermodude.
| By 301aish (301aish) on Wednesday, September 08, 2004 - 10:20 pm: Edit |
Lol I think thats impossible--
sin(x) is by def a relationship between angles and sides, which makes it trignometric
| By Thermodude (Thermodude) on Wednesday, September 08, 2004 - 10:31 pm: Edit |
well..I was just referring to not using something like cos (90 - x) or something...which would be sorta cheap.
You can express sin(x) with just the variable x and some coeficients using the taylor series...which just makes it an infinte series...so it wouldn't suprise me if there were some other expression using just x that could represnt sin(x).
| By Tongos (Tongos) on Wednesday, September 08, 2004 - 11:25 pm: Edit |
no its not impossible, im finding the series now guys, and i found something fascinating....
0.6534042619In{(2.6131259+x)/(2.6131259-x)}+0.2703016428In{(1.0823922+x)/(1.0823922-x)}
this is an approximation formula for arcsinx, and could get the approximation even closer to arcsinx by my series. i just thought of it now, and its pretty cool.
any questions about the series, id be glad to answer.
| By Tongos (Tongos) on Wednesday, September 08, 2004 - 11:28 pm: Edit |
if one can find the formula for the relationship between sides and angles, one can obviously find a relationship between angles and sides.
| By Browninfall (Browninfall) on Wednesday, September 08, 2004 - 11:57 pm: Edit |
Tongos,
Where's Vancat?
| By Ubercollegeman (Ubercollegeman) on Thursday, September 09, 2004 - 04:00 am: Edit |
It would not shock me at all to find that manipulations of the Maclaurin expansion for e^x could yield very good approximations of sinx, but I have hours of homework to do, so..maybe tomorrow 
.
| By Ubercollegeman (Ubercollegeman) on Thursday, September 09, 2004 - 04:49 pm: Edit |
Oh, yes, I almost forgot.
One of the impressive forms of sinx is Euler's manipulation of it to yield his infamous solution to the Basel problem.
Report an offensive message on this page
E-mail this page to a friend
| Posting is currently disabled in this topic. Contact your discussion moderator for more information. |
| Administrator's Control Panel -- Board Moderators Only Administer Page |