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

question 133

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) \(y=-\frac{x}{2}+\frac{\pi}{2}\)

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