code:
cosB cotB
---- - ---- = -cos^2 B cot^2 B
secB tanB
wtfux! WTF WTF WTF!
i will never make it out of this class alive. [ 10-22-2003: Message edited by: Monica ]
sux2bu!
quote:
nem-x had this to say about Captain Planet:
Aaaaaaaaaaaaaaaaaaaaaahahahahahhaahhahahahahahahhahahahahahhahaha
I remember having to do those stupid postulates/theorems and proofs.sux2bu!
YOU WANNA TAKE THIS OUTSIDE?
cos^2 - cot^2 = cos^2 - cos^2/sin^2 = (cos^2sin^2 - cos^2)/sin^2 = (cos^2(sin^2-1))/sin^2 = -cos^4/sin^2 = -cos^2cot^2 [ 10-22-2003: Message edited by: Oscar 3/Xray 1 ]
[ 10-22-2003: Message edited by: Chalesm ]
In the beginning the Universe was created.Douglas Adams, 1952-2001
quote:
Chalesm had this to say about Reading Rainbow:
Just remember, make them all sines and cosines.
I TRIED THAT ALREADY.
quote:
Monica had this to say about Matthew Broderick:
I TRIED THAT ALREADY.
Read edit.
Trying it now, though...k, beaten. Nice. [ 10-22-2003: Message edited by: Alidane ]
quote:
Alidane had this to say about Robocop:
Be content in the knowledge that you're probably never going to have to do these ever again.Trying it now, though..
I love these, actually.
I love trig integrals, too. Trig in its proofy form is one of my favorite subjects, though trig in its number form tries on my patience very fast.
(though since weis already solved it, I doubt you need my advice here)
To show how I did it, because it's a good general method
after sticking in sins and cosines
cos^2-(cos/sin)/(sin/cos) = -cos^4/sin^2
cos^2 -cos^2/sin^2=-cos^4/sin^2
so, getting the sin^2 out of the denominator
sin^2*cos^2-cos^2=cos^4
and divinding everything by cos^2 (since it's in everything)
sin^2+cos^2=1
that's the lovely thing and horribile thing about trig. There are a billion methods [ 10-22-2003: Message edited by: Chalesm ]
In the beginning the Universe was created.Douglas Adams, 1952-2001
quote:
Oscar 3/Xray 1 had this to say:
I love these, actually.I love trig integrals, too.
Burn in hell.
quote:Bah. Proofs are just too abstract for me...it's all twiddling expressions and I never feel like I go anywhere.
Oscar 3/Xray 1 attempted to be funny by writing:
I love these, actually.I love trig integrals, too. Trig in its proofy form is one of my favorite subjects, though trig in its number form tries on my patience very fast.
But then, I can say that about most math...I mean...rotational solids? Infinite sets? Useful, yea...when hell freezes over. [ 10-22-2003: Message edited by: Alidane ]
In the beginning the Universe was created.Douglas Adams, 1952-2001
And the reason I'm starting to like these, I think, is because I can see right through the contrivances. Most of these problems are so obviously constructed to be in a math book. As a result, they follow certain patterns and common methods. Just as humans each have standard vocabulary that gets used over and over, math teachers have standard math "methods" that appear over and over in problems like these. [ 10-22-2003: Message edited by: Oscar 3/Xray 1 ]
quote:
Alidane had this to say about Cuba:
Bah. Proofs are just too abstract for me...it's all twiddling expressions and I never feel like I go anywhere.But then, I can say that about most math...I mean...rotational solids? Infinite sets? Useful, yea...when hell freezes over.
Engineering makes use of most things.
quote:
When the babel fish was in place, it was apparent Monica said:code:
cosB cotB
---- - ---- = -cos^2 B cot^2 B
secB tanBwtfux! WTF WTF WTF!
i will never make it out of this class alive.
I know. It sucks. It's annoying and requires a lot of seemingly meaningless memorization. Problem is, you gotta learn it. Only real way to do it is keep at it until you got it. Use flashcards or whatever is best for you if you have to, but it's something you just gotta do.
Think of it as learning to use a hammer. It's painful to learn, but you can't really build much without knowing how to use it. You are learning how to use essential tools. Once you are finished with the annoying part, and believe me, this is it, you will be glad you spent the time to learn it.
cos/(sec+tan) = 1 - sin
cos^2/tan
cos^2 sin/cos
cos sin
whawhawhaT
quote:
diadem's unholy Backstreet Boys obsession manifested in:
I know. It sucks. It's annoying and requires a lot of seemingly meaningless memorization. Problem is, you gotta learn it. Only real way to do it is keep at it until you got it. Use flashcards or whatever is best for you if you have to, but it's something you just gotta do.Think of it as learning to use a hammer. It's painful to learn, but you can't really build much without knowing how to use it. You are learning how to use essential tools. Once you are finished with the annoying part, and believe me, this is it, you will be glad you spent the time to learn it.
i'm trying to figure out HOW to do this, not why you think i should.
quote:
Monica had this to say about Optimus Prime:
bahcos/(sec+tan) = 1 - sin
cos^2/tan
cos^2 sin/cos
cos sinwhawhawhaT
Heh, you didn't multiply the cos all the way through (or rather, treated addition like multiplication). cos(sec+tan)=1+sin. cos^2 is 1-sin^2 or (1-sin)(1+sin). Cancel (1+sin)s. [ 10-22-2003: Message edited by: Oscar 3/Xray 1 ]
why cos(sec+tan)...
quote:
Monica thought about the meaning of life:
but... it's cos DIVIDED by (sec+tan)....why cos(sec+tan)...
Didn't you multiply top and bottom by cos?
code:
cosB cotB
---- - ---- = -cos^2 B cot^2 B
secB tanB
|||||||||||||||||||||||||||||||||||||
cos^2 B - cot^2 B = -cos^2 B cot^2 B
|||||||||||||||||||||||||||||||||||||
cos^2 B cos^2 B
cos^2 B - ------- = -cos^2 B -------
sin^2 B sin^2 B
|||||||||||||||||||||||||||||||||||||
( 1 ) cos^2 B
cos^2 B ( 1 - ------- ) = -cos^2 B -------
( sin^2 B ) sin^2 B
|||||||||||||||||||||||||||||||||||||
( 1 ) -cos^2 B
( 1 - ------- ) = --------
( sin^2 B ) sin^2 B
|||||||||||||||||||||||||||||||||||||
sin^2 B - 1 = -cos^2 B
|||||||||||||||||||||||||||||||||||||
1 - sin^2 B = cos^2 B
|||||||||||||||||||||||||||||||||||||
sin^2 B + cos^2 B = 1
That is it step by step. If you still don't get it then you will never get it.
Edit: Tried to improve formatting. [ 10-22-2003: Message edited by: Naimah ]
sec= 1/cos
tan= sin/cos
cos/(1/cos + sin/cos)
multiply the top and bottom by cos...
cos^2/(1 + sin)
ah HA
... 
quote:
Naimah spewed forth this undeniable truth:code:
cosB cotB
---- - ---- = -cos^2 B cot^2 B
secB tanB
|||||||||||||||||||||||||||||||||||||
cos^2 B - cot^2 B = -cos^2 B cot^2 B
|||||||||||||||||||||||||||||||||||||
cos^2 B cos^2 B
cos^2 B - ------- = -cos^2 B -------
sin^2 B sin^2 B
|||||||||||||||||||||||||||||||||||||
( 1 ) cos^2 B
cos^2 B ( 1 - ------- ) = -cos^2 B -------
( sin^2 B ) sin^2 B
|||||||||||||||||||||||||||||||||||||
( 1 ) -cos^2 B
( 1 - ------- ) = --------
( sin^2 B ) sin^2 B
|||||||||||||||||||||||||||||||||||||
sin^2 B - 1 = -cos^2 B
|||||||||||||||||||||||||||||||||||||
1 - sin^2 B = cos^2 B
|||||||||||||||||||||||||||||||||||||
sin^2 B + cos^2 B = 1That is it step by step. If you still don't get it then you will never get it.
Edit: Tried to improve formatting.
omfg i am so not talking to you go away h8 h8 h8 
btw, the answer is 3.
quote:
There was much rejoicing when Monica said this:
umsec= 1/cos
tan= sin/coscos/(1/cos + sin/cos)
multiply the top and bottom by cos...
cos^2/(1 + sin)
ah HA
...
Hehe, my teacher this year will put "WTH!" on tests for errors like that where you mess up early and then try to go on solving it.
The first time I saw that, I was very offended. Then I found out it stands for "Working too hard!". haha
code:
cosB cotB
---- - ---- = -cos^2 B cot^2 B
secB tanB
|||||||||||||||||||||||||||||||||||||
cos^2 B - cot^2 B = -cos^2 B cot^2 B
|||||||||||||||||||||||||||||||||||||
cos^2 B cos^2 B
cos^2 B - ------- = -cos^2 B -------
sin^2 B sin^2 B
|||||||||||||||||||||||||||||||||||||
( 1 ) cos^2 B
cos^2 B ( 1 - ------- ) = -cos^2 B -------
( sin^2 B ) sin^2 B
|||||||||||||||||||||||||||||||||||||
( 1 ) -cos^2 B
( 1 - ------- ) = --------
( sin^2 B ) sin^2 B
|||||||||||||||||||||||||||||||||||||
sin^2 B - 1 = -cos^2 B
|||||||||||||||||||||||||||||||||||||
1 - sin^2 B = cos^2 B
|||||||||||||||||||||||||||||||||||||
sin^2 B + cos^2 B = 1
That is it step by step. If you still don't get it then you will never get it.
Edit: Tried to improve formatting.[/qb]<HR></BLOCKQUOTE>
You are so 2 hours ago. [ 10-22-2003: Message edited by: Oscar 3/Xray 1 ]
quote:
ACES! Another post by Oscar 3/Xray 1:
Hehe, my teacher this year will put "WTH!" on tests for errors like that where you mess up early and then try to go on solving it.The first time I saw that, I was very offended. Then I found out it stands for "Working too hard!". haha
my teacher is a freak. for this assignment he put pg143 1-5, 6-10, 11-15, 16-20 down on our assignment sheets.
and he once drew teeth on a Trig function because he thought it resembled Jaws.
at least i knew i had fucked up, right?
quote:
The logic train ran off the tracks when Demos said:
Now that our brains are fried, get a graphic calculator. Plug those identities in for future reference. Then proceed to setup programs to do stuff like the Laws of Sines and Cosines, etc for you.
Get out of my sight, heathen!
quote:
ACES! Another post by Demos:
Now that our brains are fried, get a graphic calculator. Plug those identities in for future reference. Then proceed to setup programs to do stuff like the Laws of Sines and Cosines, etc for you.
and then get a 0 on my test as we are not allowed to use such evil devices during them.
well, mostly just for this chapter. [ 10-22-2003: Message edited by: Monica ]
... could i just... flip that, sorta? i mean, since they're inverses of each other and all...
like
cot+tan
cos/sin + sin/cos
... well damn it. this sucks. i can figure out why you get the answers you do, but i can't have any of the hard ones for myself. 
*sigh* been bouncing between the last 3 problems all night.
Multiply by the Least Common Denominator of tan and cot (because they're dirty denominators within denominators! dirty!) , sin*cos. (sin*cos * 1)/(sincos(sin/cos) + sincos(cos/sin)) = sin*cos/(sin^2 + cos^2) = sincos/1
Always try multiplying things first. A lot of these are hinged on multiplying top and bottom by the same thing. [ 10-22-2003: Message edited by: Oscar 3/Xray 1 ]
Lyinar Ka`Bael, Piney Fresh Druidess - Luclin
quote:
Demos probably says this to all the girls:
Darn...some teachers will look to see if you have programs, so I'd normally make an innocuous looking program that had commented-out formulae about 80 lines down..........
Isn't it easier just to learn the formulas and procedures?
New curriculum made me learn trig before my sister did.. And she 2 years older.
No more math for me! > 
quote:
Oscar 3/Xray 1 had this to say about Tron:You are so 2 hours ago.
Yea, but mine was pretty.
quote:
Captain MorbId had this to say about Punky Brewster:
Isn't it easier just to learn the formulas and procedures?
That's what I was thinking.
quote:
Naimah had this to say about Robocop:
Yea, but mine was pretty.
Pretty ugly, plus, like I said, most teachers want operations on one side only. You did two sides. You lose. [ 10-22-2003: Message edited by: Oscar 3/Xray 1 ]
