When evaluating the expression
Sinh[x]^2 + Cosh[x]^2 // FullSimplify
That is indeed a simplification, but there are cases when I would not want that to happen.
What if I have a much more complicated expression that I want to simplify generally, but still wish to stay in
Cosh[x]^2. So under no circumstances do I wish to change to
Cosh[2 x] or similar expressions. Is there a way to explicitly tell Mathematica not to use trigonometric relations? Or to use the trivial
Cosh[x]^2 - Sinh[x]^2 = 1 but none of the composed ones?
Preferably, maybe there is a switch that disables the sensitivity of Mathematica to trigonometric relations in an entire notebook?