How to calculate the slope of the line tangent to the graph of?
r = 2+4sinθ at the point corresponding to θ=pi/6
r = 2+4sinθ at the point corresponding to θ=pi/6
1 Answer
Explanation:
The slope of the tangent line to any curve is
Since we know how to convert between Cartesian and polar coordinates, we can do a chain rule substitution:
This formula works in general, but we can apply it here using the formulae provided:
Therefore,