Proving Inverse Hyperbolic Function

[jamie-soc]

Can someone please do a step by step proof for this or send me a link to a step by step webpage.

Thank you very much

Cosh^(-1 ) A/x=( x √(X^( 2 )+A ))/2a





my attempt=>
Cosh^(-1 ) = y

A/x = Cosh^(-1 )

A/x = Sechy
A/x= (2/(e^2 + e^-2))

 

[jehan60188]

nobody's going to do a step-by-step anything for you, but here are some hints

http://en.wikipedia.org/wiki/List_of_logarithmic_identities
http://en.wikipedia.org/wiki/Hyperbolic_function

now you just start manipulating things, basically

 

[jamie-soc]

Thank you , but I have looked at both of those websites.

Im having problems with the manipulation