3. It is known that the function $f(x)$ satisfies the equality for any $x$:
$3 \sin x+f(x)=f(x+2)$

Find the value of $\mathrm{f}(2017) \sin 1$, given that $f(1)=\frac{3 \cos ^{2} 1008}{\sin 1}$.
Answer: 3

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