JEE Trigonometry

Algebra Level 4

A positive angle x(0,π2)x \in (0, \frac {\pi}{2} ) satisfy then equation ksin2x+1kcsc2x=2k \sin^2 x + \frac { 1}{k} \csc^2 x = 2

What is the value of the expression below (in terms of kk)

cos2x+5sinxcosx+6sin2x \cos^2 x + 5 \sin x \cos x + 6 \sin^2 x

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