Proving Inverse Hyperbolic Function

AI Thread Summary
The discussion centers around a request for a step-by-step proof of the inverse hyperbolic function, specifically cosh^(-1)(A/x) = (x√(x² + A))/2A. The original poster expresses difficulty in manipulating the equation despite reviewing relevant resources. Other participants suggest using logarithmic identities and hyperbolic function properties to assist with the proof. However, the original poster remains stuck on the manipulation process and seeks further clarification. The conversation highlights the challenges of understanding inverse hyperbolic functions and the need for clearer guidance in mathematical proofs.
jamie-soc
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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))
 
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Thank you , but I have looked at both of those websites.

Im having problems with the manipulation
 

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