(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

f(x) = f(x-k) f(k) / [ cot(k) + cot(x-k) ]

Show that the solution of the equation is

f(x) = 1/sin(x)

2. Relevant equations

sin(-x) = -sin(x)

cot(x) = cos(x) / sin(x)

3. The attempt at a solution

Transform the cotangents into cos and sin and simplify

f(x) = f(k) f(x-k) sin(k) (-csc(x) ) sin(x-k) eqn(*)

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# Homework Help: Finding Unknown Function f(x)

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