1. The problem statement, all variables and given/known data Find the slope to the tangent line to the polar curve r^2 = 9 sin (3θ) at the point (3, π/6) 2. Relevant equations dy/dx = (r cos θ + sin θ dr/dθ)/(-r sin θ + cos θ dr/dθ) 3. The attempt at a solution So I have no issues with taking r^2 = 9 sin (3θ) and taking the root to get r = 3√(sin 3θ) and then subbing that into the equation. My problem is that it's only one case, and the derivative of a square root of a trig equation is messy. I think I'm missing something - any assistant would be appreciated.