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- Nov 23rd 2008, 02:24 AM #1
## Noooo, I got wasted o.O

Prove teh Identitiy

from the basic definitions of the hyperbolic functions. Hence, or otherwise show that if x and y satisfy the equations

cosh x cosh y = 2,

cosh x sinh y = -1

then x = -y = +or- ln (1+*squareroot* of 2)

I dunno how to use the math thingy too well so xD sorry if it's messed up.

This question just has me staring, don't even know what I should be doing.

- Nov 23rd 2008, 02:37 AM #2

- Nov 23rd 2008, 02:44 AM #3Hence, or otherwise show that if x and y satisfy the equations

cosh x cosh y = 2,

cosh x sinh y = -1

then x = -y = +or- ln (1+*squareroot* of 2)

I dunno how to use the math thingy too well so xD sorry if it's messed up.

This question just has me staring, don't even know what I should be doing.

If so, just add the two equation :

But the left-hand side of the equation is just

So

Let :

multiply both sides by :

hence

so

__________________________________

You can see that

Hence

So

Can you try to do this one ? There's just a quadratic to solve

- Nov 27th 2008, 10:37 PM #4
Sorry for the late reply, ended up making a format and was left for three days without any access to internet >.<

Either way, I'll use the first question's guidance you gave me to it, hope it ends up somewhere xD

For the second one, yeh, it was sinh(x)sinh(y) = -1

Pretty good of you to notice my... uhh... testing the community?

But since I have a private lesson now I can't take any time trying those, it was from an Advanced Level past paper, and golly gosh you're good >_<

- Nov 28th 2008, 08:12 AM #5