cosx, sinx, e^{x}, and e^{-x}are LI or LD ( 0 =or< x =or< 1)

I can see without calculation that it is LI but I do not know how to prove it.

I tried to use Wronskian Determinant but it gets really messy

W(x) =

cosx sinx e^{x}e^{-x }-sinx cosx e^{x }-e^{x }-cosx -sinx e^{x }e^{-}^{x}

sinx -cosx e^{x }e^{-}^{x }Someone please suggest a better and quicker way...

Thank you