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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