#2015_11 My class test problem -2

Geometry Level 4

\[ \large 12\sin(x)+5\cos(x)=2y^{ 2 }-8y+21\]

If \(x\) and \(y\) are the solutions of the equation above, then what is the value of \(12\cot\left( \frac { xy }{ 2 } \right) \) ?

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