Let $0 < x < \frac{\pi}{2}$. Given that $$2 \cdot \cos^{2} x + 9 \cdot \sin^{2} x + 2 \cdot \sin(2x) = 9$$ what is the value of $\cot x$? A) $\frac{4}{7}$ B) $\frac{7}{6}$ C) $\frac{3}{5}$ D) $\frac{2}{3}$ E) $\frac{5}{2}$
Let $0 < x < \frac{\pi}{2}$. Given that
$$2 \cdot \cos^{2} x + 9 \cdot \sin^{2} x + 2 \cdot \sin(2x) = 9$$
what is the value of $\cot x$?
A) $\frac{4}{7}$
B) $\frac{7}{6}$
C) $\frac{3}{5}$
D) $\frac{2}{3}$
E) $\frac{5}{2}$