# Trigonometry identities

Geometry Level pending

$\large 2\sin x+3\cos x =3$

If real number $$x \in (0, \pi)$$ satisfies the equation above and that $$\sin x = \dfrac ab$$ and $$\cos x = \dfrac cb$$, where $$a$$, $$b$$ and $$c$$ are pairwise coprime positive integers. Find $$a+b+c$$.

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