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Part of 1996 Bosnia and Herzegovina Team Selection Test

Problems(1)

Bosnia and Herzegovina TST 1996 Day 2 Problem 1

Source: Bosnia and Herzegovina Team Selection Test 1996

9/20/2018
Solve the functional equation f(x+y)+f(x−y)=2f(x)cos⁡yf(x+y)+f(x-y)=2f(x)\cos{y} where x,y∈Rx,y \in \mathbb{R} and f:R→Rf : \mathbb{R} \rightarrow \mathbb{R}
algebrafunctional equation