# Quadratic and Trigonometry for JEE #2

Algebra Level 4

Let $$x$$ and $$y$$ be the roots of the equation $a \sin^{2}\theta + b \sin\theta +c =0$ such that $\sin x + 2 \sin y = 1$ then find the value of $(2015)*( a^{2}+2b^{2}+3ab+ac)$

Given that a,b,c are real numbers such that $$a\neq 0$$.

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