# Trigonometry Challenges! - I

Geometry Level pending

If $$\alpha$$ and $$\beta$$ are the roots of the equations $$\sin ^{ 2 }{ x+p\sin { x+q=0 } }$$ and $$\cos ^{ 2 }{ x } +r\cos { x+s=0 }$$, evaluate $$\cos { \left( \alpha-\beta \right) . }$$

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