A Are The Following Expressions Even Or Odd Sums And

(a) Are the following expressions even or odd? Sums and products of even functions and of odd functions, products of even times odd functions. Absolute values of odd functions f(x) + f(– x) and f(x) – f(– x) for arbitrary f(x).
(b) Write ekx, 1/(1 – x), sin (x + k), cos h(x + k) as sums of an even and an odd function.
(c) Find all functions that are both even and odd.
(d) Is cos3 x even or odd? Sin3 x? Find the Fourier series of these functions. Do you recognize familiar identities?

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