Where r = Cos(θ/3), and θ = π, the slope of the tangent line is √-3; also where r = 4 Sinθ, and θ = π/6 the slope is √3. See the explanation below.
What is a slope in Math?
The slope of a line indicates its steepness. Slope is computed mathematically as "rise over run" (change in y divided by change in x).
What is a tangent line in math?
The tangent line (or simply tangent) to a plane curve at a particular location in geometry is the straight line that "just touches" the curve at that point. It was defined by Leibniz as the line connecting two infinitely near points on a curve.
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