1. The problem statement, all variables and given/known data Split the function f(x) = ex + πe−x into odd and even parts, and express your result in terms of cosh x and sinh x. 2. Relevant equations f(x) = 0.5[f(x) + f(-x)] +0.5[f(x) - f(-x)] 3. The attempt at a solution So i know that: ex = 0.5[ex - e-x] + 0.5[ex + e-x] = sinh(x) + cosh(x) So let the even part be a(x) and the odd be b(x). a(x) = cosh(x) + πcosh(x) = (1 + π) cosh(x) b(x) = sinh(x) - πsinh(x) = (1 - π) sinh(x) Is this correct?