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 Post subject: hyperbolic functionsPosted: Sun, 4 Sep 2011 12:07:50 UTC
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Joined: Sat, 3 Sep 2011 08:15:59 UTC
Posts: 2
hi i just need some help with manipulating hyperbolic functions!

express: sinh^5x in terms of hyperbolic sines of multiples of x
&
express the following as an algebraic function of x: sinh(arccoshx)

i cancelled this down to
x + sqrt(x^2-1) - (x + sqrt(x^2-1))^-1
but just end up with very messy answers that i cant simplify!

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 Post subject: Re: hyperbolic functionsPosted: Sun, 4 Sep 2011 13:44:27 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6009
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
kitto6 wrote:
hi i just need some help with manipulating hyperbolic functions!

express: sinh^5x in terms of hyperbolic sines of multiples of x
&
express the following as an algebraic function of x: sinh(arccoshx)

i cancelled this down to
x + sqrt(x^2-1) - (x + sqrt(x^2-1))^-1
but just end up with very messy answers that i cant simplify!

(1) Just expand and simplify.
(2) Hint: What is ?

_________________

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