All categories - 5 December 2007

Earlier I asked for a valid proof for
sinh x = [ e^x − e^−x ] ⁄ 2
cosh x = [ e^x + e^−x ] ⁄ 2

I was told, simply, that these are defined as such... that it has to do with the hyperbolic functions being "analogous" to the normal trigonometric functions.

I accept this as truth now. But can someone explain it to me? Demonstrate this "analogy". I am still looking for some sort of proof to this analogy or this relationship.

How does the mere definition of the hyperbolic sine function, as the opposite (y-coordinate) on the unit hyperbola, and the definition of sine, allow us to extrapolate this relationship? Exactly how do we go from sin x = [ e^(ix) − e^(−ix) ] ⁄ 2i to sinh x = [ e^x − e^−x ] ⁄ 2

2007-12-05 01:00:38 · 5 answers · asked by Anonymous in Mathematics

2007-12-05 01:00:38 · 16 answers · asked by Anonymous in Religion & Spirituality

My friend said he heard the game Chess be refered to as a sport. True or False?

2007-12-05 01:00:27 · 19 answers · asked by ? 2 in Board Games

there are as more in the R&S answering questions that they don't know the answer too,than Christians?

2007-12-05 01:00:21 · 31 answers · asked by rjm 4 in Religion & Spirituality

2007-12-05 01:00:05 · 4 answers · asked by Anonymous in Earth Sciences & Geology

i'm going to buy an xbox 360 but i don't have an HD TV so does it come with a scart lead or a lead for a HD TV

2007-12-05 01:00:04 · 2 answers · asked by Anonymous in Video & Online Games

Xp r vista r linux r ect........

2007-12-05 00:59:52 · 11 answers · asked by Anonymous in Software

are your feet ticklish?

2007-12-05 00:59:35 · 42 answers · asked by Anonymous in Polls & Surveys

All at the same time was he trying to be a mormon

2007-12-05 00:59:21 · 16 answers · asked by Benny 3 in Religion & Spirituality

2007-12-05 00:59:21 · 8 answers · asked by Anonymous in English Football

I was viewing questions on the immigration board and someone posted this as part of their answer:

"Be sure to get a European Health Insurance card. Its free and gives you unlimited access to any state hospital in the EU."

The US is so behind other countries.

2007-12-05 00:59:00 · 18 answers · asked by Zardoz 7 in Politics

Do you think confidence has to do with being pretty or do you think people are still pretty who have a lack of confidence? What is your opinion?

2007-12-05 00:58:55 · 5 answers · asked by ILovePizza 5 in Psychology

Is it because my Questions are too difficult?

2007-12-05 00:58:16 · 39 answers · asked by Anonymous in Polls & Surveys

2007-12-05 00:57:50 · 11 answers · asked by Anonymous in Polls & Surveys

OK i have this speaking assignment in a couple hours where you have to answer some questions so . how in spanish do you say I like ____ class because ____

2007-12-05 00:57:05 · 5 answers · asked by Ty S 1 in Homework Help

You had a tummy ache?

2007-12-05 00:57:04 · 40 answers · asked by Buddy Hodor 7 in Polls & Surveys

It sounds like a fan working but is so loud. My computer is only 18 months old

2007-12-05 00:56:46 · 8 answers · asked by Anonymous in Other - Hardware

*****

Moth too close to flame
Cabbages and watercress
Will not morn the loss

*****

In this one, the contrary line is L-1.
TD

2007-12-05 00:56:23 · 3 answers · asked by Anonymous in Poetry

2007-12-05 00:56:04 · 16 answers · asked by kayville 3 in Other - Family & Relationships

to do something?

2007-12-05 00:55:55 · 18 answers · asked by Anonymous in Polls & Surveys

If there is a company called Blah Blah Pty (Ltd) , can I then register a company with that same name but as a cc? ie Blah Blah cc .

2007-12-05 00:55:35 · 5 answers · asked by Saltypepper 1 in Corporations

personally i want the power in uop stadium ot gp out then noone can broadcast the game and noone will know!

2007-12-05 00:55:18 · 11 answers · asked by Anonymous in Football (American)

Create a vicious theocracy in which morality police were employed to control people's behavior

2007-12-05 00:55:17 · 5 answers · asked by Benny 3 in Religion & Spirituality

Now, Iran is saying they stopped in 2003. And we are ready to believe them...why???? Does North Korea ring any bells??? How eager the left is to ignore ALL the facts, just to point the finger.

2007-12-05 00:55:10 · 10 answers · asked by Anonymous in Politics

mhm well i want a ibook
and loads of books

what about you guys?

2007-12-05 00:55:09 · 10 answers · asked by purple_waatermelon13 2 in Polls & Surveys

HELP !! .. pleaseee :)

2007-12-05 00:54:53 · 9 answers · asked by Anonymous in History

my husband was placed in a treatment center for depression, anxity and paranoia problems yesterday. He did this willingly, but is already asking when he can come home. How long does it take to get someone on medication to where they can come home? They told me to bring 3 days worth of clothes, but then I heard it could be 10 days or longer? I am also worried that he thinks that we (me and our kids) have abandoned him because we can't see him till Saturday. They won't let him smoke, and thats enough to make him want to go home. It's a locked facility, but if he sighned himself in can he just walk out? Sorry if this is rambling and doesn't make sense, I'm tired and worried about him

2007-12-05 00:54:44 · 13 answers · asked by southernvixin00 4 in Mental Health

jo

2007-12-05 00:54:43 · 28 answers · asked by Anonymous in Polls & Surveys