Use Implicit Differentiation to Find an Equation of the Tangent $y \sin 3 x=x \cos 3 y,\left(\frac{\pi}{3}, \frac{\pi}{6}\right)$

Multiple Choice

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. $y \sin 3 x=x \cos 3 y,\left(\frac{\pi}{3}, \frac{\pi}{6}\right)$

A) $y=\frac{x}{3}$
B) $y=\frac{x}{3}+\frac{\pi}{6}$
C) $y=2 x-\frac{3 \pi}{3}$
D) $y=\frac{x}{6}$
E) $y=-\frac{x}{2}+\frac{\pi}{2}$