# A geometry problem by Ilham Saiful Fauzi

Geometry Level 4

Let $$\tan p$$ and $$\tan q$$ be the roots of $$x^{2}+ax+2016=0$$ for some integer $$a$$. Find the value of the following. $a\sin(2(p+q))+4030\cos^{2}(p+q)$

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