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Func eqn

Source: Indian IMOTC 2004 Day 2 Problem 3

September 23, 2005
trigonometryfunctionalgebrafunctional equationsystem of equationsalgebra unsolved

Problem Statement

Determine all functionf f:R↦Rf : \mathbb{R} \mapsto \mathbb{R} such that f(x+y)=f(x)f(y)−csin⁡xsin⁡y f(x+y) = f(x)f(y) - c \sin{x} \sin{y} for all reals x,yx,y where c>1c> 1 is a given constant.
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