JEE Trigonometry

Algebra Level 4

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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