Math Is Fun Forum

Identity

Member

Registered: 2007-04-18

Posts: 934

simplify to cosh(x)

Can someone explain how

simplifies to

thankyou

also another question

how do you find

!

Last edited by Identity (2009-07-17 18:58:13)

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

Re: simplify to cosh(x)

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The End Of All Things To Come.

Identity

Member

Registered: 2007-04-18

Posts: 934

Re: simplify to cosh(x)

Thanks luca!

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: simplify to cosh(x)

Hi identity;

Say

Say:

Substitute for v from above.

Now substittue for u from above.

Last edited by bobbym (2009-07-18 21:52:16)

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Identity

Member

Registered: 2007-04-18

Posts: 934

Re: simplify to cosh(x)

thanks bobbym!

soroban

Member

Registered: 2007-03-09

Posts: 452

Re: simplify to cosh(x)

Hello, Identity!

This is equivalent to bobbym's answer!
.

Identity

Member

Registered: 2007-04-18

Posts: 934

Re: simplify to cosh(x)

I'm wondering how it is equivalent though, I mean like...

If you had

, and you wanted to find x in terms of t, you could solve for x with soroban's answer, but how can you do it with bobbym's?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: simplify to cosh(x)

Hi soroban and identity;

I don't know if the 2 forms are the same.

Can C ever be an independent variable like x?

You can solve for x in terms of t in mine like this:

Last edited by bobbym (2009-07-21 08:25:08)

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Avon

Member

Registered: 2007-06-28

Posts: 80

Re: simplify to cosh(x)

bobbym,

soroban's antiderivative is

rather than

Since

it follows that

and so

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: simplify to cosh(x)

Hi Avon;

Stupid error, I just couldn't see that minus sign. Darn Latex. Thanks for straightening the whole issue out.

Hi identity;

I prefer sorobans solution rather than mine to this problem as it is simpler.

Last edited by bobbym (2009-07-19 22:05:54)

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Identity

Member

Registered: 2007-04-18

Posts: 934

Re: simplify to cosh(x)

Thankyou anyway, it is always good to see more approaches to a problem