Thread: Hyperbolic Functions

Derive the properties of the hyperbolic functions.

A) (cosh[x] + sinh[x])^n = cosh[nx] + sinh[nx] where n is an integer.

B) cosh[x] - sinh[x] = e^-x

Thanks

Originally Posted by sancellX

Derive the properties of the hyperbolic functions.

A) (cosh[x] + sinh[x])^n = cosh[nx] + sinh[nx] where n is an integer.

Here's the first, the second should be quite easy after seeing this

(the size seems off. i suppose you can see e^x just fine, but the other ones that seem to have weird powers are e^nx)