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Problem 2 (due Monday, February 24)
Is it possible to find two functions f,g:R⟶R and a rational function S(u,w) in two variables such that cos(xy)=S(f(x),g(y)) for all real numbers x,y. (Recall that a rational function in 2 variables is a quotient of two polynomial functions in two variables).
The problem was solved by Josiah Moltz and Dr Mathew Wolak. Their solutions follow the same idea as our in-house solution. For details see the following link Solution.