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A positive angle $x \in (0, \frac {\pi}{2} )$ satisfy then equation $k \sin^2 x + \frac { 1}{k} \csc^2 x = 2$

What is the value of the expression below (in terms of $k$)

$\cos^2 x + 5 \sin x \cos x + 6 \sin^2 x$

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