Report, edit, etc...Posted by Mp)7-7 on 2006-05-18 at 13:53:21
I did that last year, I am in Geometry right now, next year I am doing Algebra II
Report, edit, etc...Posted by DiscipleOfAdun on 2006-05-18 at 16:29:33
Not solveable(i hope...). That function only has 1 solution, in both rect and polar coords. Unless the trick is that both soluctions are the same....are they?
Report, edit, etc...Posted by Syphon on 2006-05-18 at 17:51:06
QUOTE(DT_Battlekruser @ May 18 2006, 02:10 AM)
AHHHHH! *hides*
To think next year I'll go knowing there's a SENer out there somewhere. *shivers
(x[sub]1[/sub])(x[sub]2[/sub])
Oh yeah, no calculator.
[right][snapback]488472[/snapback][/right]
To think next year I'll go knowing there's a SENer out there somewhere. *shivers
(x[sub]1[/sub])(x[sub]2[/sub])
Oh yeah, no calculator.
[right][snapback]488472[/snapback][/right]
QUOTE(DiscipleOfAdun @ May 18 2006, 03:29 PM)
Not solveable(i hope...). That function only has 1 solution, in both rect and polar coords. Unless the trick is that both soluctions are the same....are they?
[right][snapback]488636[/snapback][/right]
[right][snapback]488636[/snapback][/right]
Probable, *Syphon grabs a paper and a redbull and tries to grasp math he's never been taught because all his school does is put the intellegent kids in IB math, which is like regular math but a grade up, even when they should be in actual enrichment programs lie DTBK and his crazy ass school.
Report, edit, etc...Posted by Noober on 2006-05-18 at 18:33:39
QUOTE(DT_Battlekruser @ May 18 2006, 03:10 AM)
[color=#b5b5ff]AHHHHH! *hides*
To think next year I'll go knowing there's a SENer out there somewhere. *shivers
[right][snapback]488472[/snapback][/right]
To think next year I'll go knowing there's a SENer out there somewhere. *shivers
[right][snapback]488472[/snapback][/right]
. I'm only in 10th grade now and in Pre-Calc. I got that from Google 
.QUOTE(7-7 @ May 18 2006, 01:52 PM)
I did that last year, I am in Geometry right now, next year I am doing Algebra II
[right][snapback]488558[/snapback][/right]
[right][snapback]488558[/snapback][/right]
Since when does Trig come before Geometry?
Edit: Oh never mind, you were referring to Alg 1...
Report, edit, etc...Posted by DT_Battlekruser on 2006-05-19 at 01:15:40
QUOTE(DiscipleOfAdun @ May 18 2006, 01:29 PM)
Not solveable(i hope...). That function only has 1 solution, in both rect and polar coords. Unless the trick is that both soluctions are the same....are they?
[right][snapback]488636[/snapback][/right]
[right][snapback]488636[/snapback][/right]
Haha, they published the solutions and I didn't even know it. None of us 8 calc kids working together made any progress during the actual competition.
Solution:
sin(arccos(tan(arcsin(x)))) = x
sin(arccos(x/(√(1-x[sup]2[/sup])))) = x
√(1-(x/(√(1-x[sup]2[/sup])))[sup]2[/sup]) = x
√((1-2x[sup]2[/sup])/(1-x[sup]2[/sup])) = x
1-2x[sup]2[/sup] = x[sup]2[/sup] - x[sup]4[/sup]
x[sup]4[/sup] - 3x[sup]2[/sup] + 1 = 0.
etc..
Cheers for a bunch of random trig identities we never learned.
Report, edit, etc...Posted by Deathawk on 2006-05-19 at 07:09:38
So DT is 14 taking Calc.
Damn =\
Damn =\
Report, edit, etc...Posted by DiscipleOfAdun on 2006-05-19 at 09:49:24
Hmm. Well, I really was close when I was solving it. I just forgot to finish converting the trig functions based on the triangle I drew...
Report, edit, etc...Posted by DT_Battlekruser on 2006-05-19 at 19:04:58
tan(arcsin(x)) and d/dx (arcsinx) are strangely similar...
Report, edit, etc...Posted by Mini Moose 2707 on 2006-05-20 at 14:34:18
I was able to got one of the X's, but my method is a little different...
sin(arccos(tan(arcsin(x)))) = x
arccos(tan(arcsin(x))) = arcsin x
tan(arcsin(x)) = cos(arcsin(x))
sin(arcsin(x))/cos(arcsin(x)) = cos(arcsin(x))
x/cos(arcsin(x)) = cos(arcsin(x))
x = (cos(arcsin(x)))^2
x = sin(arcsin(x))^2 - 1
x = x^2 - 1
x^2 - x - 1 = 0
(quadratic formula that I don't feel like typing)
x = (1 - sqrt(5))/-2
For some reason the plus or minus doesn't work, I can only get one solution.
sin(arccos(tan(arcsin(x)))) = x
arccos(tan(arcsin(x))) = arcsin x
tan(arcsin(x)) = cos(arcsin(x))
sin(arcsin(x))/cos(arcsin(x)) = cos(arcsin(x))
x/cos(arcsin(x)) = cos(arcsin(x))
x = (cos(arcsin(x)))^2
x = sin(arcsin(x))^2 - 1
x = x^2 - 1
x^2 - x - 1 = 0
(quadratic formula that I don't feel like typing)
x = (1 - sqrt(5))/-2
For some reason the plus or minus doesn't work, I can only get one solution.
Report, edit, etc...Posted by DT_Battlekruser on 2006-05-20 at 17:29:21
I get the irking feeling you're eliminating answers when you change sin(arcsin(x)) into x.