The goal in this problem is to sketch the curve given in polar coordinates by the equation r = 3 - 2 cos(θ).
(a) For each value of θ given in the tables below fill in the corresponding r-value for which the point (r, θ) satisfies this equation.
Note: For this problem use 0.9 for √3/2 and 0.7 for √2/2 in the table below and for your sketching.
θ = 0, π/6, π/4, π/3
r =
θ = π/2, 2π/3, 3π/4, 5π/6, π
r =
(b) Next, use a separate page to sketch a graph of the equation. You may need to create additional tables of r and θ values and/or make use of symmetries in the given equation. Then sketch the graph of the equation.
Use the linked page of curves and points, to identify the curve that you've sketched in the space below.
Two-letter code for your curve: